Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 34: Poster
DY 34.77: Poster
Montag, 7. März 2005, 15:30–18:00, Poster TU D
Subdiffusion in Random Compressible Flows — •Vasily Zaburdaev1,2 and Konstantin Chukbar1 — 1RRC "Kurchatov Institute", 123182 Moscow, Russia — 2current affiliation: MPI for Dynamics and Self-Organisation, Bunsenstraße 10, 37073 Göttingen
In this work we study the diffusion of admixture particles in one-dimensional random velocity field given by a gradient of random potential. We start with the description of new approach developed and tested for the problem of anomalous diffusion on comb-like structures. We show that for the case of periodic potential wells with depth b macroscopic transport is diffusive but with exponentially small diffusion coefficient Deff∝ e−b/D. For the case of quenched disorder (fixed realization of the random potential relief) system exhibits complex subdiffusive behavior. We find the Green’s function for macroscopic density of admixture particles and show that for some particular classes of distributions of potential wells it satisfies subdiffusive equation with fractional derivative with respect to time.