Brownian motion on random dynamical landscapes

Marc Suñé Simon (), José María Sancho and Katja Lindenberg
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Marc Suñé Simon: Departament d’Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona
José María Sancho: Departament d’Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona
Katja Lindenberg: University of California San Diego

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 3, 1-7

Abstract: Abstract We present a study of overdamped Brownian particles moving on a random landscape of dynamic and deformable obstacles (spatio-temporal disorder). The obstacles move randomly, assemble, and dissociate following their own dynamics. This landscape may account for a soft matter or liquid environment in which large obstacles, such as macromolecules and organelles in the cytoplasm of a living cell, or colloids or polymers in a liquid, move slowly leading to crowding effects. This representation also constitutes a novel approach to the macroscopic dynamics exhibited by active matter media. We present numerical results on the transport and diffusion properties of Brownian particles under this disorder biased by a constant external force. The landscape dynamics are characterized by a Gaussian spatio-temporal correlation, with fixed time and spatial scales, and controlled obstacle concentrations.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-60963-3

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