Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Statistical Physics in Biological Systems (joint session DY/ BP/CPP)

DY 21.4: Talk

Tuesday, March 21, 2017, 14:45–15:00, ZEU 118

Mixed Percolation as a Model for Intra-Cellular Transport — •Andreas Koher¹, Patrick Hu¹, Igor M. Sokolov², and Philipp Hövel¹ — ¹TU Berlin — ²HU Berlin

Intra-cellular diffusion is driven by a complex interplay between passively moving particles and a highly disordered, time-varying environment. To understand transport properties on a microscopical scale we propose a (mixed) percolation model that allows to reproduce a wide range of experimental observations analytically. The novel approach places a random walker on a lattice with dynamic and static bonds, i.e. parts of the lattice fluctuate with a given relaxation rate. Similar to static percolation problems, we find that the mean squared displacement undergoes a phase transition from a locally confined to a globally diffusing phase. However, unlike previous models the relaxation rate allows to fit short- and long-term transport properties to experimental observations. Finally, we validate our analytical results with Monte-Carlo simulations.