Publications

ORCID: 0000-0002-6013-7020
ORCID iD iconhttps://orcid.org/0000-0002-6013-7020
Researcher ID: J-9088-2013


Monographs & special issues

K. Lindenberg, R. Metzler, and G. Oshanin, Editors
Chemical Kinetics: Beyond The Textbook
World Scientific, Singapore, 2019

R. Metzler, G. Oshanin, and S. Redner, Editors
First passage phenomena and their applications
World Scientific, Singapore, 2014

J. Klafter, S.-C. Lim, and R. Metzler, Editors
Fractional dynamics in physics: recent advances
World Scientific, Singapore, 2011

C. Mejia-Monasterio, R. Metzler, and J. Vollmer, Editors
Anomalous transport: Applications, mathematical perspectives, and big data
Research Topic, Frontiers, 2021 Preface

D. S. Grebenkov, D. Holcman, and R. Metzler, Editors
New trends in first-passage methods and applications in the life sciences and engineering
Special issue, Journal of Physics A 52/53, 2020
IOP Publishing, Bristol, 2020 Preface

E. Gudowska-Nowak, K. Lindenberg, and R. Metzler, Editors
Marian Smoluchowski's 1916 paper - a century of inspiration
Special issue, Journal of Physics A 50, 2017
IOP Publishing, Bristol, 2017 Preface

Jean-Francois Joanny, Ralf Metzler, Felix Ritort and David Weitz
Special focus on polymer physics of the cell
Special issue, Physical Biology 6(6), 2009
IOP Publishing, Bristol, 2009 Preface

R. Hilfer, R. Metzler, A. Blumen, and J. Klafter
Strange kinetics
Special issue, Chemical Physics 284(1-2), 2002 Preface


Journal papers

2024

H. Seckler, R. Metzler, D. G. Kelty-Stephen, and M. Mangalam
Multifractal spectral features enhance classification of anomalous diffusion
Phys. Rev. E 109, 044133 (2024)

R. S. Yadav, S. Sharma, R. Metzler, and R. Chakrabarti
A passive star polymer in a dense active bath: insights from computer simulations Soft Matter, at press; DOI: 10.1039/D4SM00144C

R. Großmann, L. S. Bort, T. Moldenhawer, S. S. Panah, R. Metzler, and C. Beta
Non-Gaussian displacements in active transport on a carpet of motile cells
Phys. Rev. Lett. 132, 088301 (2024)
Editor's suggestion

P. G. Meyer and R. Metzler
Time scales in the dynamics of political opinions and the voter model
New J. Phys. 26, 023040 (2024)

E. Kalz, H. D. Vuijk, J.-U. Sommer, R. Metzler, and A. Sharma
Oscillatory force autocorrelations in equilibrium odd-diffusive systems
Phys. Rev. Lett. 132, 057102 (2024)

C. Di Bello, R. Majumdar, R. Marathe, R. Metzler, and É. Roldán
Exact non-Gaussian stationary statistics of a trapped Brownian particle subject to Poisson-shot noise in an active bath
Ann. d. Phys. 2024, 2300427; DOI: 10.1002/andp.202300427
Issue back cover:

2023

J. Janczura, M. Magdziarz, and R. Metzler
Parameter estimation of the fractional Ornstein-Uhlenbeck process based on quadratic variation
Chaos 33, 103125 (2023)

P. G. Meyer, A. G. Cherstvy, H. Seckler, R. Hering, N. Blaum, F. Jeltsch, and R. Metzler
Directedeness, correlations, and daily cycles in springbok motion: From data via stochastic models to movement prediction
Phys. Rev. Res. 5, 043129 (2023)

K. Goswami and R. Metzler
Trapped tracer in a non-equilibrium bath: Dynamics and energetics
Soft Matter 19, 8802 (2023)

M. Balcerek, A. Wyłomańska, K. Burnecki, R. Metzler, and D. Krapf
Modelling intermittent anomalous diffusion with switching fractional Brownian motion
New J. Phys. 25, 103031 (2023)

Y. Liang, W. Wang, R. Metzler, and A. G. Cherstvy
Nonergodicity of confined superdiffusive fractional Brownian motion
Phys. Rev. E 108, L052101 (2023)

K. Sakamoto, T. Akimoto, M. Muramatsu, M. S. P. Sansom, R. Metzler, and E. Yamamoto
Heterogeneous biological membranes regulate protein partitioning via fluctuating diffusivity
PNAS Nexus 2, pgad258 (2023)

Y. Liang, W. Wang, R. Metzler, and A. G. Cherstvy
Anomalous diffusion, nonergodicity, non-Gaussianity, and aging of fractional Brownian motion with nonlinear clocks
Phys. Rev. E 108, 034113 (2023)

E. Aydiner, A. G. Cherstvy, R. Metzler, and I. M. Sokolov
Universal Pareto laws in agent-based exchange models: debt and varying initial-money distributions
Euro. Phys. J. B 96, 123 (2023)

H. Seckler, J. Szwabinski, and R. Metzler
Machine-learning solutions for the analysis of single-particle diffusion trajectories
J. Phys. Chem. Lett. 14, 7910 (2023) Perspective

Y. Liang, W. Wang, and R. Metzler
Anomalous diffusion, non-Gaussianity, and nonergodicity for subordinated fractional Brownian motion with a drift
Phys. Rev. E 108, 024143 (2023)

P. Jolakoski, A. Pal, T. Sandev, L. Kocarev, R. Metzler, and V. Stojkoski
A first passage under resetting approach to income dynamics
Chaos, Solitons & Fractals 175, 113921 (2023)

Q. Wei, W. Wang, H. Zhou, R. Metzler, and A. Chechkin
Time-fractional Caputo derivative versus other integrodifferential operators in generalized Fokker-Planck and generalized Langevin equations
Phys. Rev. E 108, 024125 (2023)

C. Di Bello, A. Chechkin, A. K. Hartmann, Z. Palmowski, and R. Metzler
Time-dependent probability density function for partial resetting dynamics
New J. Phys. 25, 082002 (2023) Fast Track Communication

J. Ślęzak and R. Metzler
Minimal model of diffusion with time changing Hurst exponent
J. Phys. A Letter 56, 35LT01 (2023) Letter

W. Wang, M. Balcerek, K. Burnecki, A. V. Chechkin, S. Janušonis, J. Ślęzak, T. Vojta, A. Wyłomańska, and R. Metzler
Memory-multi-fractional Brownian motion with continuous correlations
Phys. Rev. Res. 5, L032025 (2023) Letter

T. Doerries, R. Metzler, and A. Chechkin
Emergent anomalous transport and non-Gaussianity in a simple mobile-immobile model: the role of advection
New J. Phys. 25, 063009 (2023)

P. G. Meyer and R. Metzler
Stochastic processes in a confining harmonic potential inthe presence of static and dynamic measurement noise
New J. Phys. 25, 063003 (2023)

M. Mangalam, R. Metzler, and D. G. Kelty-Stephen
Ergodic characterization of nonergodic anomalous diffusion processes
Phys. Rev. Res. 5, 023144 (2023)

A. Iomin, R. Metzler, and T. Sandev
Topological subordination in quantum mechanics
Fractal Fract. 7, 431 (2023)

S. Janušonis, J. H. Haiman, R. Metzler, and T. Vojta
Predicting the distribution of serotonergic axons: a supercomputing simulation of reflected fractional Brownian motion in a 3D-mouse brain model
Front. Comput. Neurosci. 17, 1189853 (2023)

K. Goswami and R. Metzler
Effects of active noise on transition-path dynamics
J. Phys. Comp. 4, 025005 (2023)

N. A. M. Araújo, L. Janssen, T. Barois, G. Boffetta, I. Cohen, A. Corbetta, O. Dauchot, M. Dijkstra, W. Durham, A. Dussutour, S. Garnier, H. Gelderblom, R. Golestanian, L. Isa, G. H. Koenderink, H. Löwen, R. Metzler, M. Polin, C. P. Royall, A. Saric, A. Sengupta, C. Sykes, V. Trianni, I. Tuval, N. Vogel, J. M. Yeomans, I. Zuriguel, A. Marin, and G. Volpe
Steering self-organisation through confinement
Soft Matter 19, 1695 (2023)

K. Zelenkovski, T. Sandev, R. Metzler, L. Kocarev, and L. Basnarkov
Random walks on networks with centrality-based stochastic resetting
Entropy 25, 293 (2023)

C. Manzo, G. Muñoz-Gil, G. Volpe, M. A. Garcia-March, M. Lewenstein, and R. Metzler
Preface: characterisation of physical processes from anomalous diffusion data
J. Phys. A 56, 010401 (2023)

E. Lemaitre, I. M. Sokolov, R. Metzler, and A. Chechkin
Non-Gaussian displacement distributions in models of heterogeneous active particle dynamics
New J. Phys. 25, 013010 (2023)

S. Scott, M. Weiss, C. Selhuber-Unkel, Y. F. Barooji, A. Sabri, J. T. Erler, R. Metzler, and L. B. Oddershede
Extracting, quantifying, and comparing dynamical and biomechanical properties of living matter through single particle tracking
Phys. Chem. Chem. Phys. 25, 1513 (2023)
Issue inside back cover:

2022

I. Pompa-García, R. Castilla, R. Metzler, and L. Dagdug
First-passage times in conical varying-width channels biased by a transverse gravitational force: Comparison of analytical and numerical results
Phys. Rev. E 106, 064137 (2022)

R. Metzler, A. Rajyaguru, and B. Berkowitz
Modelling anomalous diffusion in semi-infinite disordered systems and porous media
New J. Phys. 24, 123004 (2022)

V. Sposini, D. Krapf, E. Marinari, R. Sunyer, F. Ritort, F. Taheri, C. Selhuber-Unkel, R. Benelli, M. Weiss, R. Metzler, and G. Oshanin
Towards a robust criterion of anomalous diffusion
Comm. Phys. 5, 305 (2022)

T. Sandev, L. Kocarev, R. Metzler, and A. Chechkin
Stochastic dynamics with multiplicative dichotomic noise: Heterogeneous telegrapher's equation, anomalous crossovers and resetting
Chaos, Solitons & Fractals 165, 112878 (2022)

H. Seckler and R. Metzler
Bayesian deep learning for error estimation in the analysis of anomalous diffusion
Nature Comm. 13, 6717 (2022)
Corrected bibliography:

D. Vinod, A. G. Cherstvy, R. Metzler, and I. M. Sokolov
Time-averaging and nonergodicity of reset geometric Brownian motion with drift
Phys. Rev. E 106, 034137 (2022)

D. Grebenkov, R. Metzler, and G. Oshanin
Search efficiency in the Adam-Delbrück reduction-of-dimensionality scenario versus direct diffusive search
New J. Phys. 24 083035 (2022)

O. Vilk, E. Aghion, T. Avgar, C. Beta, O. Nagel, A. Sabri, R. Sarfati, D. K. Schwartz, M. Weiss, D. Krapf, R. Nathan, R. Metzler, and M. Assaf
Unravelling the origins of anomalous diffusion: from molecules to migrating storks
Phys. Rev. Res. 4, 033055 (2022)

T. J. Doerries, A. V. Chechkin, and R. Metzler
Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile-immobile transport model with Poissonian switching
J. Roy. Soc. Interface 19, 20220233 (2022)

O. Vilk, E. Aghion, R. Nathan, S. Toledo, R. Metzler, and M. Assaf
Classification of anomalous diffusion in animal movement data using power spectral analysis
J. Phys. A 55, 334004 (2022)

A. Padash, E. Aghion, A. Schulz, E. Barkai, A. V. Chechkin, R. Metzler, and H. Kantz
Local equilibrium properties of ultraslow diffusion in the Sinai model
New J. Phys. 24, 073026 (2022)

T. Guggenberger, A. Chechkin, and R. Metzler
Absence of stationary states and non-Boltzmann distributions of fractional Brownian motion in shallow external potentials
New J. Phys. 24, 073006 (2022)

W. Wang, R. Metzler, and A. G. Cherstvy
Anomalous diffusion, aging, and nonergodicity of scaled Brownian motion with fractional Gaussian noise: overview of related experimental observations and models
Phys. Chem. Chem. Phys. 24, 18482 (2022)
Issue inside cover:

J. Sarabadani, R. Metzler, and T. Ala-Nissila
Driven polymer translocation into a channel: Isoflux tension propagation theory and Langevin dynamics simulations
Phys. Rev. Res. 4, 033003 (2022)

Z. Tomovski, R. Metzler, and S. Gerhold
Fractional characteristic functions, and a fractional calculus approach for moments of random variables
Fract. Calc. Appl. Anal. 25, 1307 (2022)

A. Padash, T. Sandev, H. Kantz, R. Metzler, and A. V. Chechkin
Asymmetric Lévy Flights Are More Efficient in Random Search
Fractal Fract. 6, 260 (2022)

P. Xu, R. Metzler, and W. Wang
Infinite density and relaxation for Lévy walks in an external potential: Hermite polynomial approach
Phys. Rev. E 105, 044118 (2022)

V. Stojkoski, P. Jolakoski, A. Pal, T. Sandev, L. Kocarev, and R. Metzler
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity
Phil. Trans. R. Soc. A 380, 20210157 (2022)

S. Thapa, S. Park, Y.-J. Kim, J.-H. Jeon, R. Metzler, and M. A. Lomholt
Bayesian inference of scaled versus fractional Brownian motion
J. Phys. A 55, 194003 (2022)

E. Awad and R. Metzler
Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers: II. Accelerating case
J. Phys. A 55, 205003 (2022)

W. Wang, A. G. Cherstvy, R. Metzler, and I. M. Sokolov
Restoring ergodicity of stochastically reset anomalous-diffusion processes
Phys. Rev. Res. 4, 013161 (2022)

P. Xu, T. Zhou, R. Metzler, and W. Deng
Stochastic harmonic trapping of a Lévy walk: transport and first-passage dynamics under soft resetting strategies
New J. Phys.24, 033003 (2022)

I. Petreska, L. Pejov, T. Sandev, L. Kocarev, and R. Metzler
Tuning of the Dielectric Relaxation and Complex Susceptibility in a System of Polar Molecules: A Generalised Model Based on Rotational Diffusion with Resetting
Fractal Fract. 6, 88 (2022)

D. Vinod, A. G. Cherstvy, W. Wang, R. Metzler, and I. M. Sokolov
Nonergodicity of reset geometric Brownian motion
Phys. Rev. E 105, L012106 (2022)

T. Sandev, V. Domazetoski, L. Kocarev, R. Metzler, and A. Chechkin
Heterogeneous diffusion with stochastic resetting
J. Phys. A 55, 074003 (2022)

T. J. Doerries, A. V. Chechkin, R. Schumer, and R. Metzler
Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions
Phys. Rev. E 105, 014105 (2022)
Erratum: Phys. Rev. E 105, 029901 (2022)

2021

D. Grebenkov, R. Metzler, and G. Oshanin
Distribution of first-reaction times with target regions on boundaries of shell-like domains
New J. Phys. 23, 123049 (2021)

K. Klett, A. G. Cherstvy, J. Shin, I. M. Sokolov, and R. Metzler
Non-Gaussian, transiently anomalous, and ergodic self-diffusion of flexible dumbbells in crowded two-dimensional environments: Coupled translational and rotational motions
Phys. Rev. E 104, 064603 (2021)

D. L. Z. Caetano, R. Metzler, A. G. Cherstvy, and S. J. de Carvalho
Adsorption of Lysozyme Into a Charged Confining Pore
Phys. Chem. Chem. Phys. 23, 27195 (2021)
Issue back cover:

N. M. Mutothya, Y. Xu, Y. Li, R. Metzler, and N. M. Mutua
First passage dynamics of stochastic motion in heterogeneous media driven by correlated white Gaussian and coloured non-Gaussian noises
J. Phys. Compl. 2, 045012 (2021)

G. Muñoz-Gil, G. Volpe, M. Angel Garcia-March, E. Aghion, A. Argun, C. B. Hong, T. Bland, St. Bo, J. A. Conejero, N. Firbas, Ò. Garibo i Orts, A. Gentili, Z. Huang, J.-H. Jeon, H. Kabbech, Y. Kim, P. Kowalek, D. Krapf, H. Loch-Olszewska, M. A. Lomholt, J.-B. Masson, P. G. Meyer, S. Park, B. Requena, I. Smal, T. Song, J. Szwabiński, S. Thapa, H. Verdier, G. Volpe, A. Widera, M. Lewenstein, R. Metzler, and C. Manzo
Objective comparison of methods to decode anomalous diffusion
Nature Comm. 12, 6253 (2021)

E. Amad, T. Sandev, R. Metzler, and A. Chechkin
Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers: I. Retarding case
Chaos, Solitons & Fract. 152, 111357 (2021)

S. Ritschel, A. G. Cherstvy, and R. Metzler
Universality of delay-time averages for financial time series: analytical results, computer simulations, and analysis of historical stock-market prices
J. Phys. Compl. 2, 045003 (2021)

R. K. Singh, T. Sandev, A. Iomin, and R. Metzler
Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting
J. Phys. A 54, 404006 (2021)

E. Awad, T. Sandev, R. Metzler, and A. Chechkin
From continuous-time random walks to the fractional Jeffreys equation: Solution and properties
Int. J. Heat Mass Transf. 181, 121839 (2021)

D. Grebenkov, R. Metzler, and G. Oshanin
A molecular relay race: sequential first-passage events to the terminal reaction centre in a cascade of diffusion controlled processes
New J. Phys. 23, 093004 (2021)

A. G. Cherstvy, W. Wang, R. Metzler, and I. M. Sokolov
Inertia triggers nonergodicity of fractional Brownian motion
Phys. Rev. E 104, 024115 (2021)

W. Wang, A. G. Cherstvy, H. Kantz, R. Metzler, and I. M. Sokolov
Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes
Phys. Rev. E 104, 024105 (2021)

A. G. Cherstvy, D. Vinod, E. Aghion, I. M. Sokolov, and R. Metzler
Scaled geometric Brownian motion features sub- or superexponential ensemble-averaged, but linear time-averaged mean-squared displacements
Phys. Rev E 103, 062127 (2021)

J. Li, X. Hu, T. Neusius, X. Cheng, M. D. Smith, A. Godec, L. Hong, R. Metzler, and J. C. Smith
Reply to: Insufficient evidence for ageing in protein dynamics
Nature Phys. 17, 775 (2021)
Reply to this Comment by I. Goychuk and T. Pöschel

M. Dahlenburg, A. V. Chechkin, R. Schumer, and R. Metzler
Stochastic resetting by a random amplitude
Phys. Rev. E 103, 052123 (2021)

T. Guggenberger, A. Chechkin, and R. Metzler
Fractional Brownian motion in superharmonic potentials and non-Boltzmann stationary distributions
J. Phys. A 54 29LT01 (2021)

N. W. Mutothya, Y. Xu, Y. Li, and R. Metzler
Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise
J. Phys. A 54, 295002 (2021)
Erratum: J. Phys. A 54, 299601 (2021)

E. Yamamoto, T. Akimoto, A. Mitsutake, and R. Metzler
Universal relation between instantaneous diffusivity and radius of gyration of proteins in aqueous solution
Phys. Rev. Lett. 126, 128101 (2021)

W. Zan, Y. Xu, R. Metzler, and J. Kurths
First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method
J. Comp. Phys. 435, 110264 (2021)

A. J. Varghese, A. Chechkin, R. Metzler, and R. I. Sujith
Capturing multifractality of pressure fluctuations in thermoacoustic systems using fractional-order derivatives
Chaos 31, 033108 (2021)

A. G. Cherstvy, H. Safdari, and R. Metzler
Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent diffusivity: striking differences for massive versus massless particles
J. Phys. D 54, 195401 (2021)

D. Grebenkov, V. Sposini, R. Metzler, G. Oshanin, and F. Seno
Exact distributions of the maximum and range of random diffusivity processes
New J. Phys. 23, 023014 (2021)

S. Thapa, A. Wyłomańska, G. Sikora, C. E. Wagner, D. Krapf, H. Kantz, A. V. Chechkin, and R. Metzler
Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories
New J. Phys. 23, 013008 (2021)

D. Grebenkov, V. Sposini, R. Metzler, G. Oshanin, and F. Seno
Exact first-passage time distributions for three random diffusivity models
J. Phys. A 54, 04LT01 (2021)

2020

V. Stojkoski, T. Sandev, L. Basnarkov, L. Kocarev, and R. Metzler
Generalised geometric Brownian motion: theory and applications to option pricing
Entropy 22, 1432 (2020)

T. Kosztołowicz, R. Metzler, S. Wąsik, and M. Arabski
Modelling experimentally measured ciprofloxacin antibiotic diffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium
PLoS ONE 15, e0243003 (2020)

M. D. Emanuel, A. G. Cherstvy, R. Metzler, and G. Gompper
Buckling transitions and soft-phase invasion of two-component icosahedral shells
Phys. Rev. E 102, 062104 (2020)

Y. Xu, X. Liu, Y. Li, and R. Metzler
Heterogeneous diffusion processes and nonergodicity with Gaussian colored noise in layered diffusivity landscapes
Phys. Rev. E 102, 062106 (2020)

K. Capała, A. Padash, A. V. Chechkin, B. Shokri, R. Metzler, and B. Dybiec
Lévy noise-driven escape from arctangent potential wells
Chaos 30, 123103 (2020)

C. Mejia-Monasterio, R. Metzler, and J. Vollmer
Preface to the special issue Anomalous Transport: Applications, Mathematical Perspectives, and Big Data
Front. Phys. 8, 622417 (2020)

R. K. Singh, R. Metzler, and T. Sandev
Resetting dynamics in a confining potential
J. Phys. A 53, 505003 (2020)

A. Diez Fernandez, P. Charchar, A. G. Cherstvy, R. Metzler, and M. Finnis
The diffusion of doxorubicin drug molecules in silica nanoslits is non-Gaussian, intermittent and anticorrelated
Phys. Chem. Chem. Phys. 22, 27955 (2020)
Issue back cover:

H. Li, Y. Xu, R. Metzler, and J. Kurths
Transition path properties for one-dimensional systems driven by Poisson white noise
Chaos, Solitons & Fractals 141, 110293 (2020)

T. Kosztołowicz and R. Metzler
Diffusion of antibiotics through a biofilm in the presence of diffusion and absorption barriers
Phys. Rev. E 102, 032408 (2020)

H. Li, Y. Xu, Y. Li, and R. Metzler
Transition path dynamics across rough inverted parabolic potential barrier
Euro. Phys. J. Plus 135, 731 (2020)

T. Vojta, S. Halladay, S. Skinner, S. Janušonis, T. Guggenberger, and R. Metzler
Reflected fractional Brownian motion in one and higher dimensions
Phys. Rev. E 102, 032108 (2020)

D. Grebenkov, R. Metzler, and G. Oshanin
From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of N random walkers
New J. Phys. 22, 103004 (2020)

W. Zan, Y. Xu, J. Kurths, A. V. Chechkin, and R. Metzler
Stochastic dynamics driven by combined Lévy-Gaussian noise: fractional Fokker-Planck-Kolmogorov equation and solution
J. Phys. A 53, 385001 (2020)

W. Wang, A. G. Cherstvy, X. Liu, and R. Metzler
Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise
Phys. Rev. E 102, 012146 (2020)

W. Wang, A. G. Cherstvy, A. V. Chechkin, S. Thapa, F. Seno, X. Liu, and R. Metzler
Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time
J. Phys. A 53, 474001 (2020)

W. Wang, F. Seno, I. M. Sokolov, A. V. Chechkin, and R. Metzler
Unexpected crossovers in correlated random-diffusivity processes
New J. Phys. 22, 083041 (2020)

D. L. Z. Caetano, S. J. de Carvalho, R. Metzler, and A. G. Cherstvy
Critical adsorption of multiple polyelectrolytes onto a nanosphere: splitting the adsorption–desorption transition boundary
J. Roy. Soc Interface 17, 20200199 (2020)

P. Xu, T. Zhou, R. Metzler, and W. Deng
Lévy walk dynamics in an external harmonic potential
Phys. Rev. E 101, 062127 (2020)

F. Le Vot, E. Abad, R. Metzler, and S. B. Yuste
Continuous Time Random Walk in a velocity field: Role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing
New J. Phys. 22, 073048 (2020)

Y. Mardoukhi, A. V. Chechkin, and R. Metzler
Spurious ergodicity breaking in normal and fractional Ornstein-Uhlenbeck process
New J. Phys. 22, 073012 (2020)

S. Janušonis, N. Detering, R. Metzler, and T Vojta
Serotonergic axons as fractional Brownian motion paths: Insights into the self-organization of regional densities
Front. Comput. Neurosc. 14, 56 (2020)

V. Sposini, D. Grebenkov, R. Metzler, G. Oshanin, and F. Seno
Universal spectral features of different classes of random diffusivity processes
New J. Phys. 22, 063056 (2020)

A. Padash, A. V. Chechkin, B. Dybiec, M. Magdziarz, B. Shokri, and R. Metzler
First passage time moments of asymmetric Lévy flights
J. Phys. A 53, 275002 (2020)

D. Grebenkov, D. Holcman, and R. Metzler
Preface to the special issue: New trends in first-passage methods and applications in the life sciences and engineering
J. Phys. A 53, 190301 (2020)

Y. Li, R. Mei, Y. Xu, J. Kurths, J. Duan, and R. Metzler
Particle dynamics and transport enhancement in a confined channel with position-dependent diffusivity
New J. Phys. 22, 053016 (2020)

R. Metzler
Superstatistics and non-Gaussian diffusion
Euro. Phys. J. ST 229, 711 (2020)

E. Awad and R. Metzler
Crossover dynamics from superdiffusion to subdiffusion: Models and solutions
Fract. Cal. Appl. Anal. 23, 55 (2020)

2019

D. S. Grebenkov, R. Metzler, and G. Oshanin
Full distribution of first exit times in the narrow escape problem
New J. Phys. 21, 122001 (2019)

R. Metzler
Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion
J. Stat. Mech. (2019), 114003

T. Vojta, S. Skinner, and R. Metzler
Probability density of the fractional Langevin equation with reflecting walls
Phys. Rev. E 100, 042142 (2019)

E. Teomy and R. Metzler
Correlations and transport in exclusion processes with general finite memory
J. Stat. Mech. (2019), 103211

A. Padash, A. V. Chechkin, B. Dybiec, I. Pavlyukevich, B. Shokri, and R. Metzler
First passage properties of asymmetric Lévy flights
J. Phys. A 52, 454004 (2019)

V. V. Palyulin, G. Blackburn, M. A. Lomholt, N. W. Watkins, R. Metzler, R. Klages, and A. V. Chechkin
First passage and first hitting times of Lévy flights and Lévy walks
New J. Phys. 21, 103028 (2019)

D. Krapf and R. Metzler
Strange interfacial molecular dynamics
Phys. Today 72(9), 48 (2019)

I. Eliazar, R. Metzler, and S. Reuveni
Gumbel central limit theorem for max-min and min-max
Phys. Rev. E 100, 020104(R) (2019)

I. Eliazar, R. Metzler, and S. Reuveni
Poisson-process limit laws yield Gumbel max-min and min-max
Phys. Rev. E 100, 022129 (2019)

O. Kindler, O. Pulkkinen, A. G. Cherstvy, and R. Metzler
Burst statistics in an early biofilm quorum sensing model: the role of spatial colony-growth heterogeneity
Sci. Rep. 9, 12077 (2019)

E. Teomy and R. Metzler
Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
J. Phys. A 52, 385001 (2019)

J. Ślęzak, K. Burnecki, and R. Metzler
Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems
New J. Phys. 21, 073056 (2019)

V. Sposini, R. Metzler, and G. Oshanin
Single-trajectory spectral analysis of scaled Brownian motion
New J. Phys. 21, 073043 (2019)

D. S. Grebenkov, R. Metzler, G. Oshanin, L. Dagdug, A. M. Berezhkovskii, and A. T. Skvortsov
Trapping of diffusing particles by periodic absorbing rings on a cylindrical tube
J. Chem. Phys. 150, 206101 (2019)

E. Aydiner, A. G. Cherstvy, and R. Metzler
Money distribution in agent-based models with position-exchange dynamics: the Pareto paradigm revisited
Euro. Phys. J. B 92, 104 (2019)

S. Thapa, N. Lukat, C Selhuber-Unkel, A. G. Cherstvy, and R. Metzler
Transient superdiffusion of polydisperse vacuoles in highly motile amoeboid cells
J. Chem. Phys. 150, 144901 (2019)

J. Ślęzak, R. Metzler, and M. Magdziarz
Codifference can detect ergodicity breaking and non-Gaussianity
New J. Phys. 21, 053008 (2019)

T. Guggenberger, G. Pagnini, T. Vojta, and R. Metzler
Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries
New J. Phys. 21, 022002 (2019) Fast Track Communication

D. Krapf, N. Lukat, E. Marinari, R. Metzler, G. Oshanin, C. Selhuber-Unkel, A. Squarcini, L. Stadler, M. Weiss, and X. Xu
Spectral Content of a Single Non-Brownian Trajectory
Phys. Rev. X 9, 011019 (2019)

A. G. Cherstvy, S. Thapa, C. E Wagner, and R. Metzler
Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels
Soft Matter 15, 2526 (2019)
Issue inside front cover:

V. Sposini, A. Chechkin, and R. Metzler
First passage statistics for diffusing diffusivity
J. Phys. A 52, 04LT01 (2019)

B. Dybiec, K. P. Capała, and R. Metzler
Conservative random walks in confining potentials
J. Phys. A 52, 015001 (2019)

2018

D. Grebenkov, R. Metzler, and G. Oshanin
Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control
Comm. Chem. 1, 96 (2018)

D. Molina-Garcia, T. Sandev, H. Safdari, G. Pagnini, A. Chechkin, and R. Metzler
Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
New J. Phys. 20, 103027 (2018)

S. Thapa, M. A. Lomholt, J. Krog, A. G. Cherstvy, and R. Metzler
Bayesian nested sampling analysis of single particle tracking data: maximum likelihood model selection applied to stochastic diffusivity data
Phys. Chem. Chem. Phys. 20, 29018 (2018)
Issue inside back cover:

A. G. Cherstvy, O. Nagel, C. Beta, and R. Metzler
Non-Gaussianity, population heterogeneity, and transient superdiffusion in the spreading dynamics of amoeboid cells
Phys. Chem. Chem. Phys. 20, 23034 (2018)

A. G. Cherstvy, S. Thapa, Y. Mardoukhi, A. V. Chechkin, and R. Metzler
Time averages and their statistical variation for the Ornstein-Uhlenbeck process: role of initial particle conditions and relaxation to stationarity
Phys. Rev. E 98, 022134 (2018)

T. Akimoto, A. G. Cherstvy, and R. Metzler
Enhancement, slow relaxation, ergodicity and rejuvenation of diffusion in biased continuous-time random walks
Phys. Rev. E 98, 022105 (2018); E-print: arXiv:1803.07232

R. Hou, A. G. Cherstvy, R. Metzler, and T. Akimoto
Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing
Phys. Chem. Chem. Phys. 20, 20827 (2018)

Y. Mardoukhi, J.-H. Jeon, A. V. Chechkin, and R. Metzler
Fluctuations of random walks in critical random environments
Phys. Chem. Chem. Phys. 20, 20427 (2018)

D. Grebenkov, R. Metzler, and G. Oshanin
Towards a full quantitative description of single-molecule reaction kinetics in biological cells
Phys. Chem. Chem. Phys. 20, 16393 (2018)

R. Metzler
The Dance of Water Molecules around Proteins
Physics 11, 59 (2018) Viewpoint
Illustration by Alan Stonebraker/APS:

E. Estrada J.-C. Delvenne, N., Hatano J. L. Mateos, R. Metzler, A. P. Riascos, and M. T. Schaub
Random multi-hopper model: super-fast random walks on graphs
J. Complex Networks 6, 382 (2018)

V. Sposini, A. V. Chechkin, F. Seno, G. Pagnini, and R. Metzler
Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion
New J. Phys. 20, 043044 (2018)

P. Kar, A. G. Cherstvy, and R. Metzler
Acceleration of bursty multi-protein target-search kinetics on DNA by colocalisation
Phys. Chem. Chem. Phys. 20, 7931 (2018)
Issue inside front cover:

T. Sandev, R. Metzler, and A. Chechkin
From continuous time random walks to the generalized diffusion equation
Fract. Calc. Appl. Anal. 21, 10 (2018)

D. Krapf, E. Marinari, R. Metzler, G. Oshanin, X. Xu, and A. Squarcini
Power spectral density of a single Brownian trajectory: what one can and cannot learn from it
New J. Phys. 20, 023029 (2018)
Perspective on this article: N. D. Schnellbächer and U. Schwarz, New J. Phys. 20, 031001 (2018)

J. Ślęzak, R. Metzler, and M. Magdziarz
Superstatistical generalised Langevin equation: non-Gaussian viscoelastic anomalous diffusion
New J. Phys. 20, 023026 (2018)

E. Aydiner, A. G. Cherstvy, and R. Metzler
Wealth distribution, Pareto law, and stretched exponential decay of money: Computer simulations analysis of agent-based models
Physica A 490, 278 (2018)

2017

I. Goychuk, V. I. Kharchenko, and R. Metzler
Persistent Sinai type diffusion in Gaussian random potentials with decaying spatial correlations
Phys. Rev. E 96, 052134 (2017)

A. V. Chechkin, H. Kantz, and R. Metzler
Ageing effects in ultraslow continuous time random walks
Euro. Phys. J. B 90, 205 (2017). Special issue on 50 years of contonuous time random walks

C. J. J. Herrmann, R. Metzler, and R. Engbert
A self-avoiding walk with neural delays as a model of fixational eye movements
Sci. Rep. 7, 12958 (2017)

D. Grebenkov, R. Metzler, and G. Oshanin
Effects of the target aspect ratio and intrinsic reactivity onto diffusive search in bounded domains
New J. Phys. 19 103025 (2017)

V. V. Palyulin, V. N. Mantsevich, R. Klages, R. Metzler. and A. V. Chechkin
Comparison of pure and combined search strategies for single and multiple targets
Euro. Phys. J. B 90, 170 (2017). Special issue on 50 years of contonuous time random walks

M. Javanainen, H. Martinez-Seara, R. Metzler, and I. Vattulainen
Diffusion of Integral Membrane Proteins in Protein-Rich Membranes
J. Phys. Chem. Lett. 8, 4308 (2017)

E. Gudowska-Nowak, K. Lindenberg, and R. Metzler
Preface to the special issue: Marian Smoluchowski's 1916 paper-a century of inspiration
J. Phys. A 50, 380301 (2017)

D. L. Zago Caetano, S. J. de Carvalho, R. Metzler, and A. G. Cherstvy
Critical adsorption of periodic and random polyampholytes onto charged surfaces
Phys. Chem. Chem. Phys. 19, 23397 (2017)

M. Schwarzl, A. Godec, and R. Metzler
Quantifying non-ergodicity of anomalous diffusion with higher order moments
Sci Rep. 7, 3878 (2017)

T. Sandev, I. M. Sokolov, R. Metzler, and A. V. Chechkin
Beyond Monofractional Kinetics
Chaos, Solitons & Fractals 102, 210 (2017)

A. G. Cherstvy, D. Vinod, E. Aghion, A. V. Chechkin, and R. Metzler
Time averaging, ageing and delay analysis of financial time series
New J. Phys. 19, 063045 (2017)

A. V. Chechkin, F. Seno, R. Metzler, and I. M. Sokolov
Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
Phys. Rev. X 7, 021002 (2017)

K. Nørregaard, R. Metzler, C. M. Ritter, K. Berg-Sørensen, and L. B. Oddershede
Manipulation and Motion of Organelles and Single Molecules in Living Cells
Chem. Rev. 117, 4342 (2017)

L. Liu, A. G. Cherstvy, and R. Metzler
Facilitated Diffusion of Transcription Factor Proteins with Anomalous Bulk Diffusion
J. Phys. Chem. B 121, 1284 (2017)

A. Godec and R. Metzler
First passage time statistics for two-channel diffusion
J. Phys. A 50, 084001 (2017)

R. Metzler
Gaussianity fair: the riddle of anomalous yet non-Gaussian diffusion
Biophys. J. 112, 413 (2017)

H. Safdari, A. G. Cherstvy, A. V. Chechkin, A. Bodrova, and R. Metzler
Aging underdamped scaled Brownian motion: ensemble- and time-averaged particle displacements, nonergodicity, and the failure of the overdamping approximation
Phys. Rev. E 95, 012120 (2017)


2016

A. Godec and R. Metzler
Universal proximity effect in target search kinetics in the few-encounter limit
Phys. Rev. X 6, 041037 (2016)

V. Palyulin, A. V. Chechkin, R. Klages, and R. Metzler
Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration
J. Phys. A 49, 394002 (2016)

A. Godec and R. Metzler
Active transport improves the precision of linear long distance molecular signalling
J. Phys. A 49, 364001 (2016)

S. Carvalho, R. Metzler, and A. Cherstvy
Critical adsorption of polyelectrolytes onto planar and convex highly charged surfaces: the nonlinear Poisson-Boltzmann approach
New J. Phys. 18, 083037 (2016)

A. G. Cherstvy and R. Metzler
Anomalous diffusion in time-fluctuating diffusivity landscapes: stationary and non-stationary cases
Phys. Chem. Chem. Phys., 18, 23840 (2016)

S. Ghosh, A. G. Cherstvy, E. P. Petrov, and R. Metzler
Interactions of rod-like particles on responsive elastic sheets
Soft Matter 12, 7908 (2016)
Issue front cover:

A. Bodrova, A. V. Chechkin, A. G. Cherstvy, H. Safdari, I. M. Sokolov, and R. Metzler
Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion
Sci. Rep. 6, 30520 (2016)

H. Krüsemann, R. Schwarzl, and R. Metzler
Ageing Scher-Montroll transport
Transp. Porous Media 115, 327 (2016)

T. Sandev, A. Iomin, H. Kantz, R. Metzler, and A. V. Chechkin
Comb model with slow and ultraslow diffusion
Math. Model. Nat. Phenom. 11, 18 (2016)

M. Schwarzl, A. Godec, G. Oshanin, and R. Metzler
A single predator charging a herd of prey: effects of self volume and predator-prey decision-making
J. Phys. A. 49, 225601 (2016)
Editors' choice for IOPselect. Issue front cover:

R. Metzler, J.-H. Jeon, and A. G. Cherstvy
Non-Brownian diffusion in lipid membranes: experiments and simulations
Biochimica et Biophysica Acta - Biomembranes 1858, 2451 (2016)

A. Godec and R. Metzler
First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time
Sci. Rep. 6, 20349 (2016)

J.-H. Jeon, M. Javanainen, H. Martinez-Seara, R. Metzler, and I. Vattulainen
Protein crowding in lipid bilayers gives rise to non-Gaussian anomalous lateral diffusion of phospholipids and proteins
Phys. Rev. X 6, 021006 (2016)

R. Metzler
Forever ageing, News & Views article
Nature Physics 12, 113 (2016)

S. Ghosh, A. G. Cherstvy, D. Grebenkov, and R. Metzler
Anomalous, non-Gaussian tracer diffusion in heterogeneously crowded environments
New J. Phys. 18, 013027 (2016)


2015

O. Pulkkinen and R. Metzler
Variance-corrected Michaelis-Menten equation predicts transient rates of single-enzyme reactions and response times in bacterial gene regulation
Sci. Rep. 5, 17820 (2015)

J. Shin, A. G. Cherstvy, and R. Metzler
Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
New J. Phys. 17, 113028 (2015)
Erratum: New J. Phys. 23, 029601 (2021)

Y. Mardoukhi, J.-H. Jeon, and R. Metzler Geometry controlled anomalous diffusion in random fractal geometries: looking beyond the infinite cluster
Phys. Chem. Chem. Phys. 17, 30134 (2015)

J. Shin, A. G. Cherstvy, W. K. Kim, and R. Metzler
Facilitation of polymer looping and giant polymer diffusivity in crowded solutions of active particles
New J. Phys. 17, 113008 (2015)

T. Sandev, A. V. Chechkin, N. Korabel, H. Kantz, I. M. Sokolov, and R. Metzler
Distributed order diffusion equations and multifractality: models and solutions
Phys. Rev. E 92, 042117 (2015)

H. Safdari, A. G. Cherstvy, A. V. Chechkin, F. Thiel, I. M. Sokolov, and R. Metzler
Quantifying the non-ergodicity of scaled Brownian motion
J. Phys. A 48, 375002 (2015)

A. Bodrova, A. V. Chechkin, A. G. Cherstvy, and R. Metzler
Quantifying non-ergodic dynamics of force-free granular gases
Phys. Chem. Chem. Phys. 17, 21791 (2015) Communication

A. Godec and R. Metzler
Signal focusing through active transport
Phys. Rev. E 92, 010701(R) (2015) Rapid Communication

M. Bauer, E. S. Rasmussen, M. A. Lomholt, and R. Metzler
Real sequence effects on the search dynamics of transcription factors on DNA
Sci. Rep. 5, 10072 (2015)

T. Sandev, A. V. Chechkin, H. Kantz, and R. Metzler
Diffusion and Fokker-Planck-Smoluchowski equations with generalised memory kernel
Fract. Calc. Appl. Anal. 18, 1006 (2015)

J. F. Reverey, J.-H. Jeon, H. Bao, M. Leippe, R. Metzler, and C. Selhuber-Unkel
Superdiffusion dominates intracellular particle motion in the supercrowded space of pathogenic Acanthamoeba castellanii
Sci. Rep. 5, 11690 (2015)

A. Bodrova, A. V. Chechkin, A. G. Cherstvy, and R. Metzler
Ultraslow scaled Brownian motion
New J. Phys. 17, 063038 (2015)

H. Krüsemann, A. Godec, and R. Metzler
Ageing first passage time density in continuous time random walks and quenched energy landscapes
J. Phys. A 48, 285001 (2015)
Editors' choice for IOPselect, Chosen for the Journal of Physics A Highlights of 2015 collection

A. Godec and R. Metzler
Optimization and universality of Brownian in a basic model of quenched heterogeneous media
Phys. Rev. E 91, 052134 (2015)

A. G. Cherstvy and R. Metzler
Ergodicity breaking, ageing, and confinement in generalised diffusion processes with position and time dependent diffusivity
J. Stat. Mech. P05010 (2015)

S. J. de Carvalho, R. Metzler, and A. G. Cherstvy
Inverted critical adsorption of polyelectrolytes in confinement
Soft Matter, 11, 4430 (2015)

H. Safdari, A. V. Chechkin, G. Jafari, and R. Metzler
Aging Scaled Brownian Motion
Phys. Rev. E 91, 042107 (2015)

V. Blavatska and R. Metzler
Conformational properties of complex polymers: rosette versus star-like structures
J. Phys. A 48, 135001 (2015)

A. G. Cherstvy and R. Metzler
Ergodicity breaking and particle spreading in noisy heterogeneous diffusion processes
J. Chem. Phys. 142, 144105 (2015)

S. Ghosh, A. G. Cherstvy, and R. Metzler
Non-universal tracer diffusion in crowded media of non-inert obstacles
Phys. Chem. Chem. Phys. 17, 1847 (2015)

J. Shin, A. G. Cherstvy, and R. Metzler
Kinetics of polymer looping with macromolecular crowding: effects of volume fraction and crowder size
Soft Matter 11, 472 (2015)
Among 2015's 20 most accessed Soft Matter articles

J. Shin. A. G. Cherstvy, and R. Metzler
Polymer looping is controlled by competing effects of macromolecular crowding, spatial confinement, and chain stiffness
ACS Macro Lett. 4, 202 (2015)

R. Metzler
Weak ergodicity breaking and ageing in anomalous diffusion
Int. J. Mod. Phys. Conf. Ser. 36, 1560007 (2015)


2014

L. P. Sanders, M. A. Lomholt, L. Lizana, K. Fogelmark, R. Metzler, and T. Ambjörnsson
Severe slowing-down and universality of the dynamics in disordered interacting many-body systems: ageing and ultraslow diffusion
New J. Phys. 16, 113050 (2014)
Editors' choice for IOPselect. Chosen for the New Journal of Physics Highlights of 2014 collection

A. Godec, A. V. Chechkin, E. Barkai, H. Kantz, and R. Metzler
Localisation and universal fluctuations in ultraslow diffusion processes
J. Phys. A 47, 492002 (2014) Fast Track Communication
Chosen for the Journal of Physics A Highlights of 2014 collection

V. Palyulin, A. V. Checkin, and R. Metzler
Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias
J. Stat. Mech. P11031 (2014)

A. G. Cherstvy, A. V. Chechkin, and R. Metzler
Ageing and confinement in non-ergodic heterogeneous diffusion processes
J. Phys. A 47, 485002 (2014)

V. Palyulin, T. Ala-Nissila, and R. Metzler
Polymer translocation: the first two decades and the recent diversification
Soft Matter 10, 9016 (2014) Review article

R. Metzler, J.-H. Jeon, A. G. Cherstvy, and E. Barkai
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
Phys. Chem. Chem. Phys. 16, 24128 (2014) Perspective article

S. Ghosh, A. G. Cherstvy, and R. Metzler
Deformation propagation in responsive polymer network films
J. Chem. Phys. 141, 074903 (2014)

A. Godec, M. Bauer, and R. Metzler
Collective dynamics effect transient subdiffusion of inert tracers in gel networks
New J. Phys. 16, 092002 (2014) Fast Track Communication
Chosen for the New Journal of Physics Highlights of 2014 collection

R. Metzler, L. P. Sanders, M. A. Lomholt, L. Lizana, K. Fogelmark, and T. Ambjörnsson
Ageing single file motion
Euro. Phys. J. Special Topics 223, 3287 (2014)

J.-H. Jeon, A. V. Chechkin, and R. Metzler
Scaled Brownian motion: a paradoxical process with a time dependent diffusivity for the description of anomalous diffusion
Phys. Chem. Chem. Phys. 16, 15811 (2014) Communication

I. Goychuk, V. O. Kharchenko, and R. Metzler
Molecular motors pulling cargos in the viscoelastic cytosol: power strokes beat subdiffusion
Phys. Chem. Chem. Phys. 16, 16524 (2014)

A. G. Cherstvy and R. Metzler
Non-ergodicity, fluctuations, and criticality in heterogeneous diffusion processes
Phys. Rev. E 90, 012134 (2014)

H. Krüsemann, A. Godec, and R. Metzler
First passage statistics for aging diffusion in annealed and quenched disorder
Phys. Rev. E 89, 040101(R) (2014)

J. Shin, A. G. Cherstvy, and R. Metzler
Mixing and segregation of ring polymers: spatial confinement and molecular crowding effects
New J. Phys. 16, 053047 (2014)

S. J. de Carvalho, R. Metzler, and A. G. Cherstvy
Critical adsorption of polyelectrolytes onto charged Janus nanospheres
Phys. Chem. Chem. Phys. 16, 15539 (2014)
Recent HOT PCCP article (Jun 2014)

I. Goychuk, V. O. Kharchenko, and R. Metzler
Coexistence and efficiency of normal and anomalous transport by molecular motors in living cells
PLoS ONE 9, e91700 (2014)

S. Talukder, S. Sen, P. Chakraborti, R. Metzler, S. Banik, and P. Chaudhury
Breathing dynamics based parameter sensitivity analysis of hetero-polymeric DNA
J. Chem. Phys. 140, 125101 (2014)

J. Shin, A. G. Cherstvy, and R. Metzler
Sensing viruses by mechanical tension of DNA in responsive hydrogels
Phys. Rev. X 4, 021002 (2014)

J. H. P. Schulz, E. Barkai, and R. Metzler
Aging renewal theory and application to random walks
Phys. Rev. X 4, 011028 (2014)

V. V. Palyulin, A. V. Chechkin, and R. Metzler
Lévy flights do not always optimize random blind search for sparse targets
Proc. Natl. Acad. Sci. USA 111 2931 (2014)

M. Bauer, A. Godec, and R. Metzler
Diffusion of finite-size particles in channels with random walls
Phys. Chem. Chem. Phys. 16, 6118 (2014)

T. Sandev, R. Metzler, and Z. Tomovski
Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise
J. Math. Phys. 55, 023301 (2014)

A. V. Cherstvy, A. V. Chechkin, and R. Metzler
Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity
Soft Matter 10, 1591 (2014)

M. Ghasemi Nezhadhaghighi, A. V. Chechkin, and R. Metzler
Numerical approach to unbiased and driven generalized elastic model
J. Chem. Phys. 140, 024106 (2014)

V. Palyulin and R. Metzler
Speeding up the first-passage for subdiffusion by introducing a finite potential barrier
J. Phys. A 47, 032002 (2014) Fast Track Communication


2013

J. H. P. Schulz, A. V. Chechkin, and R. Metzler
Correlated continuous-time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics
J. Phys. A. 46, 475001 (2013)
Editors' choice for IOPselect. Listed in the 2013 Highlights of J. Phys. A

J. Kursawe, J. H. P. Schulz, and R. Metzler
Transient ageing in fractional Brownian and Langevin equation motion
Phys. Rev. E 88, 062124 (2013)

S. Talukder, S. Sen, R. Metzler, S. K. Banik, and P. Chaudhury
Stochastic optimization of dimerization kinetics
J. Chem. Sci. 125, 1619 (2013)

A. G. Cherstvy and R. Metzler
Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes
Phys. Chem. Chem. Phys. 15, 20220 (2013)

A. K. Maity, A. Bandyopadhyay, S. Chattopadhyay, J. R. Chauduri, R. Metzler, P. Chaudhury, and S. K. Banik
Quantification of noise in bi-functionality induced post-translational modification
Phys. Rev. E 88, 032716 (2013)

A. G. Cherstvy, A. V. Chechkin, and R. Metzler
Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes
New J. Phys. 15, 083039 (2013)

J.-H. Jeon, E. Barkai, and R. Metzler
Noisy continuous time random walks
J. Chem. Phys. 139, 121916 (2013)

A. Godec and R. Metzler
Linear response, fluctuation-dissipation relation, and finite system size effects in superdiffusion
Phys. Rev. E 88, 012116 (2013)

A. V. Chechkin, I. M. Zaid, M. A. Lomholt, I. M. Sokolov, and R. Metzler
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit
Math. Modelling Natural Phenomena 8, 114 (2013)

M. Vahabi, J. H. P. Schulz, B. Shokri, and R. Metzler
Area coverage of radial Lévy flights with periodic boundary conditions
Phys. Rev. E 87, 042136 (2013)

O. Pulkkinen and R. Metzler
Distance matters: the impact of gene proximity in bacterial gene regulation
Phys. Rev. Lett. 110, 198101 (2013)

M. A. Lomholt, L. Lizana, R. Metzler, and T. Ambjörnsson
Microscopic origin of the logarithmic time evolution in complex systems
Phys. Rev. Lett. 110, 208301 (2013)

M. Javanainen, H. Hammaren, L. Monticelli, J.-H. Jeon, R. Metzler, and I. Vattulainen
Anomalous and normal diffusion of proteins and lipids in crowded lipid membranes
Faraday Discussions 161, 397 (2013)

I. Eliazar and R. Metzler
Anomalous statistics of random relaxations in random environments
Phys. Rev. E 87, 022141 (2013)

J-.H. Jeon, N. Leijnse, L. Oddershede, and R. Metzler
Anomalous diffusion and power-law relaxation in wormlike micellar solution
New J. Phys. 15, 045011 (2013)

M. Bauer and R. Metzler
In vivo facilitated diffusion model
PLoS ONE 8, e53956 (2013)

A. Godec and R. Metzler
Finite-time effects and ultraweak ergodicity breaking in superdiffusive dynamics
Phys. Rev. Lett. 110, 020603 (2013)

J. Schulz, E. Barkai, and R. Metzler
Ageing effects in single particle trajectory averages
Phys. Rev. Lett. 110, 020602 (2013)


2012

R. Metzler and J.-H. Jeon
The role of ergodicity in anomalous stochastic processes: analysis of single particle trajectories
Phys. Scripta 86, 058510 (2012)

J.-H. Jeon, H. Martinez-Seara Monne, M. Javanainen, and R. Metzler
Anomalous Diffusion of Phospholipids and Cholesterols in a Lipid Bilayer and its Origins
Phys. Rev. Lett. 109, 188103 (2012)

I. Eliazar and R. Metzler
The RARE model: a generalized approach to random relaxation processes in disordered systems
J. Chem. Phys. 137, 234106 (2012)

A. V. Chechkin, I. M. Zaid, M. A. Lomholt, I. M. Sokolov, and R. Metzler
Bulk-mediated diffusion on a planar surface: full solution
Phys. Rev. E 86, 041101 (2012)

T. Mattos, C. Mejia-Monasterio, R. Metzler, and G. Oshanin
First passages in bounded domains: When is the mean first passage time meaningful?
Phys. Rev. E 86, 031143 (2012)
Chosen for PRE Kaleidoscope September 2012:

E. Barkai, Y. Garini, and R. Metzler
Strange Kinetics of Single Molecules in Living Cells Phys. Today 65(8), 29 (2012)

M. Bauer and R. Metzler
Generalized facilitated diffusion model for DNA-binding proteins with search and recognition states
Biophys. J. 102, 2321 (2012)

T. Sandev, R. Metzler, and \v{Z}. Tomovski
Velocity and displacement correlation functions for fractional generalized Langevin equations
Frac. Calc. and Appl. Anal. 15, 426 (2012) Survey paper

J. Adamcik, J.-H. Jeon, K. Karczewski, R. Metzler, and G. Dietler
Quantifying supercoiling-induced denaturation bubbles in DNA
Soft Matter 8, 8651 (2012)

N. Leijnse, J.-H. Jeon, S. Loft, R. Metzler, and Lene B. Oddershede
Diffusion inside living human cells
Euro. Phys. J. Special Topics 204, 75 (2012)

M. Magdziarz, R. Metzler, W. Szczotka, and P. Zebrowski
Correlated continuous time random walks - scaling limits and Langevin picture
J. Stat. Mech. P04010 (2012)

M. Magdziarz, R. Metzler, W. Szczotka, and P. Zebrowski
Correlated Continuous Time Random Walks in External Force Fields
Phys. Rev. E 85, 051103 (2012)

V. Palyulin and R. Metzler
How a finite potential barrier decreases the mean first passage time
J. Stat. Mech. L03001 (2012)

J.-H. Jeon and R. Metzler
Inequivalence of time and ensemble averages in ergodic systems: exponential versus power-law relaxation in confinement
Phys. Rev. E 85, 021147 (2012)

Z. Tomovski, R. Metzler, T. Sandev, and J. Dubbeldam
Generalized space–time fractional diffusion equation with composite fractional time derivative
Physica A 391, 2527 (2012)

L. Esmaeili Sereshki, M. A. Lomholt, and R. Metzler
A solution to the subdiffusion-efficiency paradox: Inactive states enhance reaction efficiency at subdiffusion conditions in living cells
Europhys. Lett. 97, 20008 (2012)


2011

R. H. Abdolvahab, R. Metzler, and M. R. Ejtehadi
First passage time distribution of chaperone driven polymer translocation through a nanopore: homopolymer and heteropolymer cases
J. Chem. Phys 135, 245102 (2011)

A. H. Kunding, M. W. Mortensen, S. M. Christensen, V. K. Bhatia, I. Makarov, R. Metzler, and D. Stamou
Intermembrane docking reactions are regulated by membrane curvature
Biophys. J. 101, 2693 (2011)

S. Talukder, P. Chaudhury, R. Metzler, and S. K. Banik
Determining the DNA stability parameters for the breathing dynamics of heterogeneous DNA by stochastic optimization
J. Chem. Phys. 135, 165103 (2011)

V. Tejedor, M. Schad, O. Bénichou, R. Voituriez, and R. Metzler
Encounter distribution of two random walkers on a finite one-dimensional interval
J. Phys. A 44, 395005 (2011)

A. V. Chechkin, I. M. Zaid, M. A. Lomholt, I. M. Sokolov, and R. Metzler
Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion
J. Chem. Phys. 134, 204116 (2011)

V. Tejedor, O. Bénichou, R. Metzler, and R. Voituriez
Residual mean first-passage time for jump processes: theory and applications to Lévy flights and fractional Brownian motion
J. Phys. A 44, 255003 (2011)

K. Luo and R. Metzler
The chain sucker: translocation dynamics of a polymer chain into a long narrow channel driven by longitudinal flow
J. Chem. Phys. 134, 135102 (2011)

J.-H. Jeon, A. V. Chechkin, and R. Metzler
First passage behaviour of fractional Brownian motion in two-dimensional wedge domains
Europhys. Lett. 94, 20008 (2011)

T. Sandev, R. Metzler, and Z. Tomovski
Fractional diffusion equation with a generalized Riemann-Liouville time fractional derivative
J. Phys. A. 44, 255203 (2011)

J.-H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Oddershede, and R. Metzler
In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
Phys. Rev. Lett. 106, 048103 (2011)
Publication award 2011 of the Center for Nanoscience (CeNS), LMU Munich

S. Burov, J.-H. Jeon, R. Metzler, and E. Barkai
Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking
Phys. Chem. Chem. Phys. 13, 1800 (2011)
PCCP editor's choice, July 2012

R. H. Abdolvahab, M. R. Ejtehadi, and R. Metzler
Sequence-dependence of the binding energy in chaperone-driven polymer translocation through a nanopore Phys. Rev. E 83, 011902 (2011)


2010

J.-H. Jeon, J. Adamczik, G. Dietler, and R. Metzler
Supercoiling Induces Denaturation Bubbles in Circular DNA
Phys. Rev. Lett. 105, 208101 (2010)

R. Metzler
Wonderful world of single biopolymer thermodynamics
Physics of Life Rev. 7, 355 (2010)

R. Metzler and K. Luo
Polymer translocation through nanopores: parking lot problems, scaling laws and their breakdown
Euro. Phys. J. Special Topics 189, 119 (2010)

S. Burov, R. Metzler, and E. Barkai
Aging and non-ergodicity beyond the Khinchin theorem
Proc. Natl. Acad. Sci. USA 107, 13228 (2010)

K. Luo and R. Metzler
Polymer translocation into laterally unbounded confined environments
J. Chem. Phys. 133, 075101 (2010)

K. Luo and R. Metzler
Polymer translocation into a fluidic channel through a nanopore
Phys. Rev. E 82, 021922 (2010)

J.-H. Jeon and R. Metzler
Analysis of short subdiffusive time series: scatter of the time averaged mean squared displacement
J. Phys. A 43, 252001 (2010) Fast Track Communication

O. Yu. Sliusarenko, V. Yu. Gonchar, A. V. Chechkin, I. M. Sokolov, and R. Metzler
Kramers escape driven by fractional Brownian motion
Phys. Rev. E 81, 041119 (2010)

V. Tejedor, O. Bénichou, R. Voituriez, R. Jungmann, F. Simmel, C. Selhuber-Unkel, L. Oddershede, and R. Metzler
Quantitative analysis of single particle trajectories: Mean maximal excursion method
Biophys. J. 98, 1364 (2010)

V. Tejedor and R. Metzler
Anomalous diffusion in correlated continuous time random walks
J. Phys. A 43, 082002 (2010) Fast Track Communication
Listed in the 2010 Highlights of J. Phys. A

J.-H. Jeon and R. Metzler
Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries
Phys. Rev. E 81, 021103 (2010)

G. Cottone, M. Di Paola, and R. Metzler
Fractional calculus approach to the statistical characterization of random variables and vectors
Physica A 389, 909 (2010)


2009

K. Luo, T. Ala-Nissilä, S.-Ch. Ying, and R. Metzler
Driven polymer translocation through nanopores: slow versus fast dynamics
Europhys. Lett. 88, 68006 (2009)

R. Metzler, T. Koren, B. v. d. Broek, G. J. L. Wuite, and M. A. Lomholt
And did he search for you, and could not find you?
J. Phys. A 42, 434005 (2009)

K. Luo, R. Metzler, T. Ala-Nissila, S.-Ch. Ying
Polymer translocation out of confined environments
Phys. Rev. E 80, 021907 (2009)

I. M. Zaid, M. A. Lomholt, and R. Metzler
How subdiffusion changes the kinetics of binding to a surface
Biophys. J. 97, 710 (2009)

P. Chaudhury, R. Metzler, and S. K. Banik
Finding the optimum activation energy in DNA breathing dynamics: A Simulated Annealing approach
J. Phys. A. 42 335101 (2009)

R. Metzler, V. Tejedor, J.-H. Jeon, Y. He, W. Deng, S. Burov, and E. Barkai
Analysis of single particle trajectories: from normal to anomalous diffusion
Acta Phys. Polonica B 40, 1315 (2009)

M. A. Lomholt, B. v. d. Broek, S.-M. J. Kalisch, G. J. L. Wuite, and R. Metzler
Facilitated diffusion with DNA coiling
Proc. Natl. Acad. Sci. USA 106, 8204 (2009)

J. N. Pedersen, M. S. Hansen, T. Novotn{\'y}, T. Ambjörnsson, and R. Metzler
Bubble merging in breathing DNA as a vicious walkers problem in opposite potentials
J. Chem. Phys. 130, 164117 (2009)

A. V. Chechkin, I. M. Zaid, M. A. Lomholt, I. M. Sokolov, and R. Metzler
Bulk-mediated surface diffusion on a cylinder: propagators and crossovers
Phys. Rev. E 79, 040105(R) (2009)

R. Metzler, T. Ambjörnsson, A. Hanke, and H. C. Fogedby
Single DNA denaturation and bubble dynamics
J. Phys. Cond. Mat. 21, 034111 (2009)


2008

Y. He, S. Burov, R. Metzler, and E. Barkai
Random Time-Scale Invariant Diffusion and Transport Coefficients
Phys. Rev. Lett. 101, 058101 (2008)
PRL Viewpoint in Physics: I. M. Sokolov, Physics 1, 8 (2008)

M. A. Lomholt, T. Koren, R. Metzler, and J. Klafter
The advantage of Lévy strategies in intermittent search processes
Proc. Natl. Acad. Sci. USA 105, 11055 (2008)

B. van den Broek, M. A. Lomholt, S.-M. J. Kalisch, R. Metzler, and G. J. L. Wuite
How DNA coiling enhances target localization by proteins
Proc. Natl. Acad. Sci. USA 105, 15738 (2008)
Research Highlight: Nature Struct. & Molec. Biol. 15, 1137 (2008)

A. Hanke, M. G. Ochoa, and R. Metzler
Denaturation transition of stretched DNA
Phys. Rev. Lett. 100, 018106 (2008)


2007

H. C. Fogedby and R. Metzler
Dynamics of DNA-breathing: Weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem
Phys. Rev. E 76, 061915 (2007)

T. Koren, M. A. Lomholt, A. V. Chechkin, J. Klafter, and R. Metzler
Leapover lengths and first passage time statistics for Lévy flights
Phys. Rev. Lett. 99, 160602 (2007)

M. A. Lomholt, I. M. Zaid, and R. Metzler
Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary
Phys. Rev. Lett. 98, 200603 (2007)

M. A. Lomholt, M. Urbakh, R. Metzler, and J. Klafter
Manipulating enzymes by oscillating external forces
Phys. Rev. Lett. 98, 168302 (2007)

R. Metzler, A. V. Chechkin, V. Yu. Gonchar, and J. Klafter
Some fundamental aspects of Lévy flights
Chaos, Solitons & Fractals 34, 129 (2007)

A. V. Chechkin, O. Yu. Sliusarenko, J. Klafter, and R. Metzler
Barrier crossing driven by Lévy noise: Universality and the Role of Noise Intensity
Phys. Rev. E 75, 041101 (2007)

T. Ambjörnsson, S. K. Banik, O. Krichevsky, and R. Metzler
Breathing dynamics in heteropolymer DNA
Biophys. J. 92, 2674 (2007)

T. Ambjörnsson, M. A. Lomholt, S. K. Banik, and R. Metzler
Master equation approach to DNA-breathing in heteropolymer DNA
Phys. Rev. E 75, 021908 (2007)

H. C. Fogedby and R. Metzler
DNA bubble dynamics as a quantum Coulomb problem
Phys. Rev. Lett. 98, 070601 (2007)

E. Ercolini, F. Valle, J. Adamcik, R. Metzler, P. de los Rios, J. Roca, and G. Dietler
Fractal dimension and localization of DNA knots
Phys. Rev. Lett. 98, 058102 (2007)
Selected as PRL Editor's Suggestion

T. Novotny, J. N. Pedersen, M. S. Hansen, T. Ambjörnsson, and R. Metzler
Bubble coalescence in breathing DNA: Two vicious walkers in opposite potentials
Europhys. Lett. 77, 48001 (2007)

R. Metzler, T. Ambjörnsson, A. Hanke, and S. Levene
Single DNA conformations and biological function
J. Comp. Theor. Nanoscience 4, 1 (2007) Review article


2006

A. V. Chechkin, V. Y. Gonchar, J. Klafter, and R. Metzler
Fundamentals of L{\'e}vy flight processes
Adv. Chem. Phys. 133, 439 (2006)

R. Metzler, W. Reisner, R. Riehn, R. Austin, J. Tegenfeldt, and I. M. Sokolov
Diffusion mechanisms of localised knots along a polymer
Europhys. Lett. 76, 696 (2006)

T. Ambjörnsson, S. K. Banik, O. Krichevsky, and R. Metzler
Sequence sensitivity of breathing dynamics in heteropolymer DNA
Phys. Rev. Lett. 97, 128105 (2006)


2005

M. A. Lomholt, T. Ambjörnsson, and R. Metzler
Optimal target search on a fast folding polymer chain with volume exchange
Phys. Rev. Lett. 95, 260603 (2005)

R. Metzler and T. Ambjörnsson
Dynamic approach to DNA breathing
J. Biol. Phys. 31, 339 (2005)

T. Ambjörnsson and R. Metzler
Blinking statistics of a molecular beacon triggered by end-denaturation of DNA
J. Phys. Cond. Mat. 17, S4305 (2005)

T. Ambjörnsson, M. Lomholt, and R. Metzler
Directed motion emerging from two coupled random processes: Translocation of a chain through a nanopore driven by binding proteins
J. Phys. Cond. Mat. 17, S3945 (2005)

I. M. Sokolov, R. Metzler, K. Pant, and M. C. Williams
First passage time of N excluded volume particles on a line
Phys. Rev. E 72, 041102 (2005)

A. V. Chechkin, V. Yu. Gonchar, J. Klafter, and R. Metzler
Barrier crossing of a Lévy flight
Europhys. Lett. 72, 348 (2005)

T. Ambjörnsson and R. Metzler
Coupled dynamics of DNA breathing and of proteins that selectively bind to single-stranded DNA}
Phys. Rev. E 72, 030901(R) (2005)

R. Metzler and T. Ambjörnsson
Sensing DNA -- DNA as nanosensor: a perspective towards nanobiotechnology based on local DNA-melting
J. Comp. Theor. Nanoscience 2, 389 (2005)

S. K. Banik, T. Ambjörnsson, and R. Metzler
Stochastic approach to DNA breathing dynamics
Europhys. Lett. 71, 852 (2005)

A. V. Chechkin, V. Yu. Gonchar, J. Klafter, and R. Metzler
Natural cutoff in Lévy flights caused by dissipative non-linearity
Phys. Rev. E 72 010101(R) (2005)

I. M. Sokolov, R. Metzler, K. Pant, and M. C. Williams
Target search of N sliding proteins on a DNA
Biophys. J. 89, 895 (2005)

T. Ambjörnsson and R. Metzler
Binding dynamics of single-stranded DNA binding proteins to fluctuating bubbles in breathing DNA
J. Phys. Cond. Mat. 17, S1841 (2005)


2004

I. M. Sokolov and R. Metzler
Non-uniqueness of the first passage time density of Lévy random processes
J. Phys. A 37, L609 (2004)

A. Bakk, R. Metzler, and K. Sneppen
Sensitivity of phage lambda upon variations of the Gibbs free energy
Israel J. Chem. 44, 309 (2004)

R. Metzler and P. G. Dommersnes
Helical packaging of semiflexible polymers in bacteriophages
Euro. Biophys. J. 33, 497 (2004)

A. Bakk and R. Metzler
Two states do not necessarily correspond to a two-state transition: van't Hoff enthalpy in the case of a small entropy difference between the states
Chem. Phys. Lett. 398, 190 (2004)

A. Bakk and R. Metzler
Nonspecific binding of the O$_R$ repressors CI and Cro of bacteriophage λ
J. Theor. Biol. 231, 525 (2004)

Hans C. Fogedby, R. Metzler and A. Svane
Exact solution of a linear molecular motor model driven by two-step fluctuations and subject to protein friction
Phys. Rev. E 70, 021905 (2004)

R. Metzler and J. Klafter
The restaurant at the end of the random walk: recent developments in fractional dynamics descriptions of anomalous dynamical processes
J. Phys. A 37, R161 (2004) Topical review
Selected as Emerging Research Front 2009, Thomson Reuters Science Watch

T. Ambjörnsson and R. Metzler
Chaperone-assisted translocation
Phys. Biol. 1, 77 (2004)

A. V. Chechkin, V. Yu. Gonchar, J. Klafter, R. Metzler, and L. V. Tanatarov
Lévy flights in a steep potential well
J. Stat. Phys. 115, 1505 (2004)

A. Bakk and R. Metzler
In vivo non-specific binding of λ CI and Cro repressors is significant
FEBS Lett. 563, 66 (2004)

R. Metzler and I. M. Sokolov
Comment on ``Anomalous heat conduction and anomalous diffusion in one-dimensional systems''
Phys. Rev. Lett. 92, 089401 (2004)

A. Bakk, R. Metzler, and K. Sneppen
Nonspecific binding of the O-R repressors CI and Cro of bacteriophage λ
Biophys. J. 86, 58 (2004)


2003

R. Metzler
Critical switching behaviour in sparsely populated systems
Int. J. Mod. Phys. B 17, 5893 (2003)

A. Hanke, R. Metzler, P. G. Dommersnes, Y. Kantor and M. Kardar
Tight and loose shapes in flat entangled dense polymers
Euro. Phys. J. E 12, 347 (2003)

A. V. Chechkin, R. Metzler, J. Klafter, V. Yu. Gonchar, and L. V. Tanatarov
First passage time density for Lévy flight processes and the failure of the method of images
J. Phys. A 36, L537 (2003)

R. Metzler and J. Klafter
When translocation dynamics becomes anomalous
Biophys. J. 85, 2776 (2003) Letter to the Editor

A. Hanke and R. Metzler
Bubble dynamics in DNA
J. Phys. A 36, L473 (2003)

A. Hanke and R. Metzler
Entropy loss in long-distance DNA looping
Biophys. J. 85, 167 (2003)

A. Hanke and R. Metzler
Comment on ``Why is the DNA denaturation transition first order?''
Phys. Rev. Lett. 90, 159801 (2003)

R. Metzler and T. F. Nonnenmacher
Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials
Int. J. Plast. 19, 941 (2003)

A. V. Chechkin, J. Klafter, V. Yu. Gonchar, R. Metzler, and L. V. Tanatarov
Bifurcation, bimodality, and finite variance in confined Lévy flights
Phys. Rev. E 67, 010102(R) (2003)

I. M. Sokolov and R. Metzler
Towards deterministic equations for Lévy walks: The fractional material derivative
Phys. Rev. E 67, 010101(R) (2003)


2002

A. Chechkin, V. Gonchar, J. Klafter, R. Metzler, and L. Tanatarov
Stationary states of non-linear oscillators driven by Lélvy noise
Chem. Phys. 284, 233 (2002)

R. Metzler and P. G. Wolynes
Number fluctuations and the threshold model of kinetic switches ,BR> Chem. Phys. 284, 469 (2002)

R. Metzler
Localization behaviour in a phenomenological model of three-dimensional knots
New J. Phys. 4, 91.1 (2002)

R. Metzler and T. F. Nonnenmacher
Space- and time-fractional diffusion and wave equations, fractional Fokker-Planck equations, and physical motivation
Chem. Phys. 284, 67 (2002)

B. Berkowitz, J. Klafter, R. Metzler, and H. Scher
Physical pictures of transport in heterogeneous media: Advection-dispersion, random walk and fractional derivative formulations
Wat. Res. Res. 38, 1191 (2002)

R. Metzler, Y. Kantor, and M. Kardar
Force-extension relations for polymers with sliding links
Phys. Rev. E 66, 022102 (2002)

R. Metzler and J. Klafter
From stretched exponential to inverse power-law: fractional dynamics, Co\-le-Cole relaxation processes, and beyond
J. Non-Cryst. Solids 305, 81 (2002)

R. Metzler, A. Hanke, P. G. Dommersnes, Y. Kantor, and M. Kardar
Tightness of slip-linked polymer chains
Phys. Rev. E 65, 061103 (2002)

A. Hanke and R. Metzler
Towards the molecular workshop: entropy-driven designer molecules, entropy activation, and nanomechanical devices
Chem. Phys. Lett. 359, 22 (2002)

R. Metzler and I. M. Sokolov
Superdiffusive Klein-Kramers equation: Normal and anomalous time evolution and Lévy walk moments
Europhys. Lett. 58, 482 (2002)

R. Metzler, A. Hanke, P. G. Dommersnes, Y. Kantor, and M. Kardar
Equilibrium shapes of flat knots
Phys. Rev. Lett. 88, 188101 (2002)

H. Scher, G. Margolin, R. Metzler, J. Klafter, and B. Berkowitz
The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times
Geophys. Res. Lett. 29, 1061 (2002)

A. Klemm, R. Metzler, and R. Kimmich
Diffusion on random site percolation clusters: Theory and NMR microscopy experiments with model objects
Phys. Rev. E 65, 021112 (2002)


2001

R. Metzler and J. Klafter
Anomalous stochastic processes in the fractional dynamics framework: Fokker-Planck equation, dispersive transport, and non-exponential relaxation
Adv. Chem. Phys. 116, 223 (2001)

R. Metzler and J. Klafter
Lévy meets Boltzmann: Strange initial conditions for Brownian and fractional Fokker-Planck equations
Physica 302A, 290 (2001)

R. Metzler
Accelerating through a potential landscape: A fractional dynamics approach to enhanced motion in an external force field?
Int. J. Mod. Phys. B 15, 2351 (2001)

R. Metzler
The future is noisy: The role of spatial fluctuations in genetic switching
Phys. Rev. Lett. 87, 068103 (2001)

R. Metzler
Non-homogeneous random walks, generalised master equations, fractional Fokker-Planck equations, and the generalised Kramers-Moyal expansion
Euro. Phys. J. B 19, 249 (2001)


2000

R. Metzler
Molecular switching with non-exponential relaxation patterns: A random walk approach
Phys. Rev. E 63, 012103 (2000)

R. Metzler and J. Klafter
The random walk's guide to anomalous diffusion: A fractional dynamics approach
Phys. Rep. 339, 1 (2000)
Selected as New Hot Paper, May 2003} (ISI Essential Science Indicator)

R. Metzler
Generalized Chapman-Kolmogorov equation: A unifying approach to the description of anomalous transport in external fields
Phys. Rev. E 62, 6233 (2000)

R. Metzler and J. Klafter
Accelerating Brownian motion: A fractional dynamics approach to fast diffusion
Europhys. Lett. 51, 492 (2000)

R. Metzler and A. Compte
Generalised diffusion-advection schemes and dispersive sedimentation: a fractional approach
J. Phys. Chem. B 104, 3858 (2000)

R. Metzler and J. Klafter
From a generalized Chapman-Kolmogorov equation to the fractional Klein-Kramers equation
J. Phys. Chem. B 104, 3851 (2000)

R. Metzler and J. Klafter
The fractional Fokker-Planck equation: dispersive transport in an external force field
J. Mol. Liq. 86, 219 (2000)

R. Metzler and J. Klafter
Subdiffusive transport close to thermal equilibrium: From the Lang-vin equation to fractional diffusion
Phys. Rev. E 61, 6308 (2000)

R. Metzler and J. Klafter
Kramers' escape problem with anomalous kinetics: non-exponent\-ial decay of the survival probability
Chem. Phys. Lett. 321, 238 (2000)

R. Metzler and J. Klafter
Boundary value problems for fractional diffusion equations
Physica 278A, 107 (2000)

E. Barkai, R. Metzler, and J. Klafter
From continuous time random walks to the fractional Fokker-Planck equation
Phys. Rev. E 61, 132 (2000)


1999

R. Metzler, J. Klafter, and J. Jortner
Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems
Proc. Natl. Acad. Sci. USA 96, 11085 (1999)

R. Metzler and A. Compte
Stochastic foundation of normal and anomalous Cattaneo-type transport
Physica 268A, 454 (1999)

R. Metzler, E. Barkai, and J. Klafter
Deriving fractional Fokker-Planck equations from a generalised master equation
Europhys. Lett. 46, 431 (1999)

R. Metzler, E. Barkai, and J. Klafter
Anomalous transport in disordered systems under the influence of external fields
Physica 266A, 343 (1999)

R. Metzler, E. Barkai, and J. Klafter
Anomalous diffusion and relaxation close to thermal equilibrium: A fractional Fokker-Planck equation approach
Phys. Rev. Lett. 82, 3563 (1999)

S. Jespersen, R. Metzler, and H. C. Fogedby
Lévy flights in external force fields: Langevin and fractional Fok\-ker-Planck equations and their solutions
Phys. Rev. E 59, 2736 (1999)


1998

R. Metzler, J. Klafter, J. Jortner, and M. Volk
Multiple time scales for dispersive kinetics in early events of peptide folding
Chem. Phys. Lett. 293, 477 (1998)

R. Metzler, J. Klafter, and I. M. Sokolov
Anomalous transport in external fields: Continuous time random walks and fractional diffusion equations extended
Phys. Rev. E 58, 1621 (1998)

M. O. Vlad, R. Metzler, and J. Ross
Generalized Huber kinetics for nonlinear rate processes in disordered systems: Nonlinear analogs of stretched exponential
Phys. Rev. E 57 6497 (1998)

R. Metzler and T. F. Nonnenmacher
Fractional diffusion, waiting time distributions, and Cattaneo-type equations
Phys. Rev. E 57 6409 (1998)

J. W. Dollinger, R. Metzler, and T. F. Nonnenmacher
Bi-asymptotic fractals: Fractals between lower and upper bounds
J. Phys. A 31, 3839 (1998)


1994-1997

R. Metzler, W. G. Glöckle, T. F. Nonnenmacher, and B. J. West
``Fractional tuning'' of the Riccati equation
Fractals 5, 597 (1997)

H.-G. Kilian, B. Zink, and R. Metzler
Aggregate model of liquids
J. Chem. Phys. 107, 8697 (1997)

A. Compte and R. Metzler
The generalised Cattaneo equation for the description of anomalous transport processes
J. Phys. A 30, 7277 (1997)

A. Compte, R. Metzler, and J. Camacho
Biased continuous time random walks between parallel plates
Phys. Rev. E 56, 1445 (1997)

R. Metzler and T. F. Nonnenmacher
Fractional diffusion: exact representations of spectral functions
J. Phys. A 30, 1089 (1997)

B. J. West, P. Grigolini, R. Metzler and T. F. Nonnenmacher
Fractional diffusion and Lévy stable processes
Phys. Rev. E 55, 99 (1997)

M. O. Vlad, R. Metzler, T. F. Nonnenmacher, and M. C. Mackey
Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential
J. Math. Phys. 37, 2279 (1996)

T. F. Nonnenmacher and R. Metzler
On the Riemann-Liouville fractional calculus and some recent applications
Fractals 3, 557 (1995)

H. Schiessel, R. Metzler, A. Blumen, and T. F. Nonnenmacher
Generalized viscoelastic models: Their fractional equations with solutions
J. Phys. A 28, 6567 (1995)

R. Metzler, W. Schick, H.-G. Kilian, and T. F. Nonnenmacher
Relaxation in filled polymers: A fractional calculus approach
J. Chem. Phys. 103, 7180 (1995)

R. Metzler, W. G. Glöckle, and T. F. Nonnenmacher
Fractional model equation for anomalous diffusion
Physica 211A, 13 (1994)

Book & article reviews

R. Metzler
Book review: The H-function by A. M. Mathai, R. K. Saxena, and H. J. Haubold
J. Approx. Theory 164, 1323 (2012)

R. Metzler
Book review: Fractional Calculus by Richard Hermann
Physics Today 65(2), 55 (2012)

R. Metzler
Keeping up with the noise, Viewpoint
Physics 2, 36 (2009)

R. Metzler
Book review: Physiology, Promiscuity and Prophecy at the Millennium: A Tale of Tails by B. J. West
Fractals 9, 373 (2001)

Chapters in books

T. G. Mattos, C. Mejia-Monasterio, R. Metzler, G. Oshanin, and G. Schehr
Trajectory-to-trajectory fluctuations in first-passage phenomena in bounded domains
in First passage phenomena and their applications
R. Metzler, G. Oshanin, and S. Redner, Editors
World Scientific, Singapore, 2014

J.-H. Jeon, A. V. Chechkin, and R. Metzler First passage behaviour of multi-dimensional fractional Brownian motion and application to reaction phenomena
in First passage phenomena and their applications
R. Metzler, G. Oshanin, and S. Redner, Editors
World Scientific, Singapore, 2014

R. Metzler
Fractional Klein-Kramers equations: subdiffusive and superdiffusive cases
Recent Advances in Broadband Dielectric Spectroscopy
in NATO Science for Peace and Security Series B
Yuri P. Kalmykov, Editor
Springer, Berlin, 2013

R. Metzler, B. v. d. Broek, G. J. L. Wuite, and M. A. Lomholt
Role of DNA conformations in gene regulation
in Biophysics of DNA-protein interactions
M. C. Williams and L. J. Maher, III, Editors
Springer, New York, 2011

R. Metzler and J.-H. Jeon
Anomalous diffusion and fractional transport equations
in Fractional dynamics in physics
J. Klafter, S.-C. Lim, and R. Metzler, Editors
World Scientific, Singapore, 2011

R. Metzler, A. V. Chechkin, and J. Klafter
Lévy Statistics and Anomalous Transport: Lévy flights and Subdiffusion
Encyclopedia of Complexity and System Science
Henrik Jeldtoft Jensen, Editor
Springer-Verlag, Berlin, 2009

A. V. Chechkin, R. Metzler, V. Yu. Gonchar, and J. Klafter
Introduction to the theory of Lévy flights
in Anomalous Transport: Foundations and Applications
R. Klages, I. M. Sokolov, and G. Radons, Editors
Wiley-VCH, Weingeim, 2008

R. Metzler and A. Hanke
Knots, bubbles, untying, and breathing: probing the topology of DNA and other biomolecules
Handbook of Theoretical and Computational Nanotechnology
American Scientific Publishers, Stevenson Ranch, CA, 2006

T. F. Nonnenmacher and R. Metzler
Applications of fractional calculus ideas to biology
in Applications of Fractional Calculus in Physics
R. Hilfer, Editor
World Scientific, Singapore, 1998

M. Köpf, R. Metzler, O. Haferkamp and T. F. Nonnenmacher
NMR studies of anomalous diffusion in biological tissues: Experimental observation of Lévy stable processes
in Fractals in Biology and Medicine
G. A. Losa, D. Merlini, T. F. Nonnenmacher and E. R. Weibel, Editors
Birkhäuser, Basel, 1998

T. F. Nonnenmacher and R. Metzler
On the Riemann-Liouville fractional calculus and some recent applications
in Fractal Geometry and Analysis, The Mandelbrot Festschrift, Curacao, 1995
C. J. G. Evertsz, H.-O. Peitgen and R. F. Voss, Editors
World Scientific, Singapore, 1996