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19922020
most citedIn vivo anomalous diffusion and weak ergodicity breaking of lipid granules

662 citations

Showing 2012 · cond-mat.stat-mechShow all

7 papers · 2 filters

cond-mat.stat-mech2012★ 6 cited

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…

cond-mat.stat-mech2012★ 30 cited

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…

cond-mat.stat-mech2012★ 95 cited

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…

cond-mat.stat-mech2012★ 159 cited

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…

cond-mat.stat-mech2012★ 61 cited

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…

cond-mat.stat-mech2012★ 21 cited

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…

cond-mat.stat-mech2012★ 131 cited

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…