# Publications

**ORCID: 0000-0002-6013-7020**

Researcher ID: J-9088-2013

Researcher ID: J-9088-2013

# Monographs

J. Klafter, S.-C. Lim, and R. Metzler, Editors

*Fractional Dynamics in Physics*

World Scientific, Singapore, 2011

R. Metzler, G. Oshanin, and S. Redner, Editors

*First passage problems: recent advances*

World Scientific, Singapore, 2014

E. Gudowska-Nowak, K. Lindenberg, and R. Metzler, Editors

*Marian Smoluchowski's 1916 paper - a century of inspiration*

Special issue of the Journal of Physics A

IOP Publishing, Bristol, 2017
Preface

# Journal papers

**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., at press. DOI: 10.1039/C8CP04043E

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. Śleʐak, 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 of on 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)

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)

**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 spaceâ€“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. B{\'e}nichou, R. Metzler, and R. Voituriez

*Residual mean first-passage time for jump processes: theory and
applications to L{\'e}vy 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-S{\o}rensen, 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 L{\'e}vy 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