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Brownian motion on random dynamical landscapes

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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.

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Authors and Affiliations

  1. Departament d’Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona, Diagonal 647, 08028, Barcelona, Spain

    Marc Suñé Simon & José María Sancho

  2. Department of Chemistry and Biochemistry and BioCircuits Institute, University of California San Diego, 9500 Gilman Drive, La Jolla, California, 92093-0340, USA

    Katja Lindenberg

Authors
  1. Marc Suñé Simon
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  2. José María Sancho
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  3. Katja Lindenberg
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Correspondence to Marc Suñé Simon.

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Suñé Simon, M., Sancho, J. & Lindenberg, K. Brownian motion on random dynamical landscapes. Eur. Phys. J. B 89, 79 (2016). https://doi.org/10.1140/epjb/e2016-60963-3

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