Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes

Noisy continuous time random walks

(2013) Jae-Hyung Jeon et al.   JOURNAL OF CHEMICAL PHYSICS

Communication: How to generate and measure anomalous diffusion in simple systems

(2013) A. Fuliński   JOURNAL OF CHEMICAL PHYSICS

Biological measurement beyond the quantum limit

(2013) Michael A. Taylor et al.   Nature Photonics

Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes

(2013) Andrey G Cherstvy et al.   NEW JOURNAL OF PHYSICS

Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions

(2013) Jae-Hyung Jeon et al.   NEW JOURNAL OF PHYSICS

Time-averaged Einstein relation and fluctuating diffusivities for the Lévy walk

(2013) D. Froemberg et al.   PHYSICAL REVIEW E

Linear response, fluctuation-dissipation, and finite-system-size effects in superdiffusion

(2013) Aljaž Godec et al.   PHYSICAL REVIEW E

Limiting distributions of continuous-time random walks with superheavy-tailed waiting times

(2013) S. I. Denisov et al.   PHYSICAL REVIEW E

Fluctuations of1/fNoise and the Low-Frequency Cutoff Paradox

(2013) Markus Niemann et al.   PHYSICAL REVIEW LETTERS

Finite-Time Effects and Ultraweak Ergodicity Breaking in Superdiffusive Dynamics

(2013) Aljaž Godec et al.   PHYSICAL REVIEW LETTERS

Microscopic Origin of the Logarithmic Time Evolution of Aging Processes in Complex Systems

(2013) Michael A. Lomholt et al.   PHYSICAL REVIEW LETTERS

Aging Effects and Population Splitting in Single-Particle Trajectory Averages

(2013) Johannes H. P. Schulz et al.   PHYSICAL REVIEW LETTERS

Test for Determining a Subdiffusive Model in Ergodic Systems from Single Trajectories

(2013) Yasmine Meroz et al.   PHYSICAL REVIEW LETTERS

Intracellular transport of insulin granules is a subordinated random walk

(2013) S. M. A. Tabei et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Anomalous transport in the crowded world of biological cells

(2013) Felix Höfling et al.   REPORTS ON PROGRESS IN PHYSICS

Stochastic models of intracellular transport

(2013) Paul C. Bressloff et al.   REVIEWS OF MODERN PHYSICS

Diffusion and trapping in heterogeneous media: An inhomogeneous continuous time random walk approach

(2012) Marco Dentz et al.   ADVANCES IN WATER RESOURCES

Universal Algorithm for Identification of Fractional Brownian Motion. A Case of Telomere Subdiffusion

(2012) Krzysztof Burnecki et al.   BIOPHYSICAL JOURNAL

Anomalous and normal diffusion of proteins and lipids in crowded lipid membranes

(2012) Matti Javanainen et al.   FARADAY DISCUSSIONS

Inferring diffusion in single live cells at the single-molecule level

(2012) A. Robson et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Correlated continuous-time random walks in external force fields

(2012) Marcin Magdziarz et al.   PHYSICAL REVIEW E

Inequivalence of time and ensemble averages in ergodic systems: Exponential versus power-law relaxation in confinement

(2012) Jae-Hyung Jeon et al.   PHYSICAL REVIEW E

Anomalous Diffusion of Phospholipids and Cholesterols in a Lipid Bilayer and its Origins

(2012) Jae-Hyung Jeon et al.   PHYSICAL REVIEW LETTERS

Strange kinetics of single molecules in living cells

(2012) Eli Barkai et al.   PHYSICS TODAY

Models of anomalous diffusion in crowded environments

(2012) Igor M. Sokolov   Soft Matter

Fractional Brownian motion in crowded fluids

(2012) Dominique Ernst et al.   Soft Matter

Communication: Consistent picture of lateral subdiffusion in lipid bilayers: Molecular dynamics simulation and exact results

(2011) Gerald R. Kneller et al.   JOURNAL OF CHEMICAL PHYSICS

Exact propagator for a Fokker-Planck equation, first passage time distribution, and anomalous diffusion

(2011) A. T. Silva et al.   JOURNAL OF MATHEMATICAL PHYSICS

Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking

(2011) Stas Burov et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Anomalous diffusion and weak nonergodicity

(2011) A. Fuliński   PHYSICAL REVIEW E

Asymptotic solutions of decoupled continuous-time random walks with superheavy-tailed waiting time and heavy-tailed jump length distributions

(2011) S. I. Denisov et al.   PHYSICAL REVIEW E

Subdiffusion of a Sticky Particle on a Surface

(2011) Q. Xu et al.   PHYSICAL REVIEW LETTERS

Non-Gaussian Fluctuations Resulting from Power-Law Trapping in a Lipid Bilayer

(2011) Takuma Akimoto et al.   PHYSICAL REVIEW LETTERS

In VivoAnomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules

(2011) Jae-Hyung Jeon et al.   PHYSICAL REVIEW LETTERS

Protein Diffusion in Mammalian Cell Cytoplasm

(2011) Thomas Kühn et al.   PLoS One

Single-molecule investigations of the stringent response machinery in living bacterial cells

(2011) B. P. English et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking

(2011) A. V. Weigel et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Quantitative Analysis of Single Particle Trajectories: Mean Maximal Excursion Method

(2010) Vincent Tejedor et al.   BIOPHYSICAL JOURNAL

Anomalous diffusion in correlated continuous time random walks

(2010) Vincent Tejedor et al.   Journal of Physics A-Mathematical and Theoretical

Reaction-subdiffusion model of morphogen gradient formation

(2010) S. B. Yuste et al.   PHYSICAL REVIEW E

Detecting origins of subdiffusion:P-variation test for confined systems

(2010) Marcin Magdziarz et al.   PHYSICAL REVIEW E

Paradoxes of Subdiffusive Infiltration in Disordered Systems

(2010) Nickolay Korabel et al.   PHYSICAL REVIEW LETTERS

Bacterial Chromosomal Loci Move Subdiffusively through a Viscoelastic Cytoplasm

(2010) Stephanie C. Weber et al.   PHYSICAL REVIEW LETTERS

In Vivo Determination of Fluctuating Forces during Endosome Trafficking Using a Combination of Active and Passive Microrheology

(2010) Damien Robert et al.   PLoS One

Aging and nonergodicity beyond the Khinchin theorem

(2010) S. Burov et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Facilitated diffusion in a crowded environment: from kinetics to stochastics

(2009) Yasmine Meroz et al.   Journal of Physics A-Mathematical and Theoretical

Fractional Fokker-Planck equation for Lévy flights in nonhomogeneous environments

(2009) Tomasz Srokowski   PHYSICAL REVIEW E

Ergodic properties of fractional Brownian-Langevin motion

(2009) Weihua Deng et al.   PHYSICAL REVIEW E

Viscoelastic subdiffusion: From anomalous to normal

(2009) Igor Goychuk   PHYSICAL REVIEW E

Transition to superdiffusive behavior in intracellular actin-based transport mediated by molecular motors

(2009) L. Bruno et al.   PHYSICAL REVIEW E

Fractional Brownian Motion Versus the Continuous-Time Random Walk: A Simple Test for Subdiffusive Dynamics

(2009) Marcin Magdziarz et al.   PHYSICAL REVIEW LETTERS

Transient Anomalous Diffusion of Telomeres in the Nucleus of Mammalian Cells

(2009) I. Bronstein et al.   PHYSICAL REVIEW LETTERS

On the theory of diffusion in inhomogeneous media: Long times of the process

(2009) A. G. Kesarev et al.   PHYSICS OF METALS AND METALLOGRAPHY

Anomalous diffusion of heterogeneous populations characterized by normal diffusion at the individual level

(2008) S. Hapca et al.   Journal of the Royal Society Interface

Lévy flights in nonhomogeneous media: Distributed-order fractional equation approach

(2008) Tomasz Srokowski   PHYSICAL REVIEW E

Nonergodicity Mimics Inhomogeneity in Single Particle Tracking

(2008) Ariel Lubelski et al.   PHYSICAL REVIEW LETTERS

Random Time-Scale Invariant Diffusion and Transport Coefficients

(2008) Y. He et al.   PHYSICAL REVIEW LETTERS

Probing microscopic origins of confined subdiffusion by first-passage observables

(2008) S. Condamin et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA