Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Anomalous diffusion / Brownian motion

DY 43.4: Talk

Thursday, April 4, 2019, 10:45–11:00, H3

Anomalous transport in the soft Lorentz model of crowded media — •Charlotte Petersen and Thomas Franosch — Institute for Theoretical Physics, University of Innsbruck, Austria

Transport in heterogeneous crowded environments occurs in many situations, including inside of cells, in catalysts, and in porous rock during oil recovery. Both experimentally, and in simple models, the transport in complex crowded media can be subdiffusive. The origin of this anomalous diffusion has been explained theoretically for the paradigmatic Lorentz model. Here, a single particle moves with Newtonian dynamics through a random array of identical fixed obstacles. The moving particle has specular collisions with the obstacles. At the percolating density of the obstacles, the mean square displacement grows subdiffusively. We extend the Lorentz model towards realistic systems by relaxing the hard-exclusion interaction assumption, and find that they system exhibits a percolation transition dependent on the energy of the probe particle, and the dynamics remain anomalous at the percolation point.