Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes

2016/01/01 by Andrey G. Cherstvy, A. G. Cherstvy, Ralf Metzler +1
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Anomalous diffusion #Computer science #Diffusion #Ergodic theory #Innovation diffusion #Mass diffusivity #Material Dynamics and Properties #Mathematical analysis #Mathematics #Mechanics #Physics #Power law #Statistical physics #Statistics #Theoretical and Computational Physics #Thermal diffusivity #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1039/c6cp03101c

published as Phys. Chem. Chem. Phys., 18, 23840 (2016) · 16 pages, 13 figures, RevTeX

openalex publication_date 2016/01/01 · arxiv created 2016/09/30 · arxiv updated 2016/10/05 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

We investigate the ensemble and time averaged mean squared displacements for particle diffusion in a simple model for disordered media by assuming that the local diffusivity is both fluctuating in time and has a deterministic average growth or decay in time. In this study we compare computer simulations of the stochastic Langevin equation for this random diffusion process with analytical results. We explore the regimes of normal Brownian motion as well as anomalous diffusion in the sub- and superdiffusive regimes. We also consider effects of the inertial term on the particle motion. The investigation of the resulting diffusion is performed for unconfined and confined motion.

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