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DY: Fachverband Dynamik und Statistische Physik

DY 40: Poster - Quantum Systems/ Stat. Phys./ Diffusive Process

DY 40.28: Poster

Donnerstag, 3. April 2014, 17:00–19:00, P3

Anomalous transport of self-propelled particles in biological environments — Mohammadreza Shaebani, •Zeinab Sadjadi, Heiko Rieger, and Ludger Santen — Theoretical Physics Department, Saarland University, Saarbrucken, Germany

We study the influence of structural characteristics of random filamentous networks -- or equivalently the stepping strategy in continuous space -- on the transport properties of a random walker. A general master equation formalism is developed to investigate the persistent motion of self-propelled particles, which enables us to identify the key parameters and disentangle their contributions to the transport properties. Depending on the persistency of the walker and the anisotropy and heterogeneity of the structure, the particles exhibit an anomalous diffusive dynamics. We establish the existence of up to three different regimes of motion, and determine the phase diagrams of the behavior. We verify that the crossover times between different regimes as well as the long-term diffusion coefficient can be enhanced by a few orders of magnitude within the biologically relevant range of control parameters. The analytical predictions are in excellent agreement with simulation results.