662 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of PotsdamDE34 papers
- University of HelsinkiFI26 papers
- Aalto UniversityFI23 papers
- Tampere UniversityFI18 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Northeastern UniversityUS17 papers
- University of JyväskyläFI14 papers
- Brown UniversityUS13 papers
- Technical University of MunichDE13 papers
- Aarhus UniversityDK12 papers
- Helsinki Institute of PhysicsFI10 papers
- Charles UniversityCZ9 papers
26 papers · 1 filter
Comb model with slow and ultraslow diffusion
Trifce Sandev, Alexander Iomin, Holger Kantz +2
We consider a generalised diffusion equation in two dimensions for modeling diffusion on a comb-like structures. We analyse the probability distribution functions and we derive the…
First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time
Aljaz Godec, Ralf Metzler
The first passage is a generic concept for quantifying when a random quantity such as the position of a diffusing molecule or the value of a stock crosses a preset threshold (targe…
Anomalous, non-Gaussian tracer diffusion in heterogeneously crowded environments
Surya K. Ghosh, Andrey G. Cherstvy, Denis S. Grebenkov +1
A topic of intense current investigation pursues the question how the highly crowded environment of biological cells affects the dynamic properties of passively diffusing particles…
Quantifying the non-ergodicity of scaled Brownian motion
Hadiseh Safdari, Andrey G. Cherstvy, Aleksei V. Chechkin +3
We examine the non-ergodic properties of scaled Brownian motion, a non-stationary stochastic process with a time dependent diffusivity of the form . We compute…
Nonergodic dynamics of force-free granular gases
Anna Bodrova, Aleksei V. Chechkin, Andrey G. Cherstvy +1
We study analytically and by event-driven molecular dynamics simulations the nonergodic and aging properties of force-free cooling granular gases with both constant and velocity-de…
First passage statistics for aging diffusion in annealed and quenched disorder
Henning Kruesemann, Aljaz Godec, Ralf Metzler
Aging, the dependence of the dynamics of a physical process on the time since its original preparation, is observed in systems ranging from the motion of charge carriers in a…
Diffusion of finite-size particles in channels with random walls
Max Bauer, Aljaz Godec, Ralf Metzler
Diffusion of chemicals or tracer molecules through complex systems containing irregularly shaped channels is important in many applications. Most theoretical studies based on the f…
Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity
Andrey G. Cherstvy, Aleksei V. Chechkin, Ralf Metzler
We study the thermal Markovian diffusion of tracer particles in a 2D medium with spatially-varying diffusivity , mimicking recently measured, heterogeneous maps of the appare…
Speeding up the first-passage for subdiffusion by introducing a finite potential barrier
Vladimir Palyulin, Ralf Metzler
We show that for a subdiffusive continuous time random walk with scale-free waiting time distribution the first-passage dynamics on a finite interval can be optimised by introducti…
Correlated continuous-time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics
Johannes HP Schulz, Aleksei V Chechkin, Ralf Metzler
Standard continuous time random walk (CTRW) models are renewal processes in the sense that at each jump a new, independent pair of jump length and waiting time are chosen. Globally…
Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes
Andrey G. Cherstvy, Ralf Metzler
We consider diffusion processes with a spatially varying diffusivity giving rise to anomalous diffusion. Such heterogeneous diffusion processes are analysed for the cases of expone…
Transient ageing in fractional Brownian and Langevin equation motion
Jochen Kursawe, Johannes Schulz, Ralf Metzler
Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin equation motion, are usually considered to be ergod…
Noisy continuous time random walks
Jae-Hyung Jeon, Eli Barkai, R. Metzler
Experimental studies of the diffusion of biomolecules in the environment of biological cells are routinely confronted with multiple sources of stochasticity, whose identification r…
Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes
Andrey G. Cherstvy, Aleksei V. Chechkin, Ralf Metzler
We demonstrate the non-ergodicity of a simple Markovian stochastic processes with space-dependent diffusion coefficient . For power-law forms , this process…
The RARE model: a generalized approach to random relaxation processes in disordered systems
Iddo Eliazar, Ralf Metzler
This paper introduces and analyses a general statistical model, termed the RARE model, of random relaxation processes in disordered systems. The model considers excitations, that a…
Area coverage of radial Levy flights with periodic boundary conditions
Mahsa Vahabi, Johannes H. P. Schulz, Babak Shokri +1
We consider the time evolution of two-dimensional Levy flights in a finite area with periodic boundary conditions. From simulations we show that the fractal path dimension d_f and…
Finite-time effects and ultraweak ergodicity breaking in superdiffusive dynamics
Aljaz Godec, Ralf Metzler
We study the ergodic properties of superdiffusive, spatiotemporally coupled Levy walk processes. For trajectories of finite duration, we reveal a distinct scatter of the scaling ex…
First passages in bounded domains: When is the mean first passage time meaningful?
Thiago G. Mattos, Carlos Mejía-Monasterio, Ralf Metzler +1
We study the first passage statistics to adsorbing boundaries of a Brownian motion in bounded two-dimensional domains of different shapes and configurations of the adsorbing and re…
Bulk-mediated diffusion on a planar surface: full solution
Aleksei V. Chechkin, Irwin M. Zaid, Michael A. Lomholt +2
We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random walk approach we derive the…
How a finite potential barrier decreases the mean first passage time
Vladimir V. Palyulin, Ralf Metzler
We consider the mean first passage time of a random walker moving in a potential landscape on a finite interval, starting and end points being at different potentials. From analyti…
Inequivalence of time and ensemble averages in ergodic systems: exponential versus power-law relaxation in confinement
Jae-Hyung Jeon, Ralf Metzler
Single particle tracking has become a standard tool to investigate diffusive properties, especially in small systems such as biological cells. Usually the resulting time series are…
Residual mean first-passage time for jump processes: theory and applications to Lévy flights and fractional Brownian motion
Vincent Tejedor, Olivier Bénichou, Ralf Metzler +1
We derive a functional equation for the mean first-passage time (MFPT) of a generic self-similar Markovian continuous process to a target in a one-dimensional domain and obtain its…
First passage behaviour of fractional Brownian motion in two-dimensional wedge domains
J. -H. Jeon, A. V. Chechkin, R. Metzler
We study the survival probability and the corresponding first passage time density of fractional Brownian motion confined to a two-dimensional open wedge domain with absorbing boun…
Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion
Aleksei V. Chechkin, Irwin M. Zaid, Michael A. Lomholt +2
In many biological and small scale technological applications particles may transiently bind to a cylindrical surface. In between two binding events the particles diffuse in the bu…