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Brownian motion on random dynamical landscapes

Author

Listed:
  • 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)

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.

Suggested Citation

  • Marc Suñé Simon & José María Sancho & Katja Lindenberg, 2016. "Brownian motion on random dynamical landscapes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(3), pages 1-7, March.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:3:d:10.1140_epjb_e2016-60963-3
    DOI: 10.1140/epjb/e2016-60963-3
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    Statistical and Nonlinear Physics;

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