461 citations · 5.5k across the 112 of their papers we have counts for
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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…
Numerical approach to unbiased and driven generalized elastic model
Mohsen Ghasemi Nezhadhaghighi, Aleksei V. Chechkin, Ralf Metzler
From scaling arguments and numerical simulations, we investigate the properties of the generalized elastic model (GEM), that is used to describe various physical systems such as po…
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…
Anomalous fluctuation relations
R. Klages, A. V. Chechkin, P. Dieterich
We study Fluctuation Relations (FRs) for dynamics that are anomalous, in the sense that the diffusive properties strongly deviate from the ones of standard Brownian motion. We firs…
First passage behaviour of multi-dimensional fractional Brownian motion and application to reaction phenomena
Jae-Hyung Jeon, Aleksei V. Chechkin, Ralf Metzler
Fractional Brownian motion is a generalised Gaussian diffusive process that is found to describe numerous stochastic phenomena in physics and biology. Here we introduce a multi-dim…
Searching with and against the stream: Levy or Brown?
Vladimir V. Palyulin, Aleksei V. Chechkin, Ralf Metzler
We study the efficiency of search processes based on Levy flights (LFs) with power-law distributed jump lengths in the presence of an external drift. While LFs turn out to be effic…