Dresden 2014 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 40: Poster - Quantum Systems/ Stat. Phys./ Diffusive Process
DY 40.27: Poster
Thursday, April 3, 2014, 17:00–19:00, P3
Universality of Anomalous Transport in Model Crowded Media — •Markus Spanner1, Felix Höfling2, Gerd Schröder-Turk1, and Thomas Franosch1,3 — 1Institut für Theoretische Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany — 2MPI für komplexe Systeme, Stuttgart, and IV. Institut für Theoretische Physik, Universität Stuttgart, Germany — 3Institut für Theoretische Physik, Leopold-Franzens-Universität Innsbruck, Austria
The Lorentz model is a simple model for transport in porous materials, where a point-like tracer moves through an array of random overlapping spheres. At the point where the void space between the frozen-in obstacles undergoes a percolation transition, sub-diffusive transport δ r2(t)∼ t2/dw, dw=4.81 can be observed. In this regime transport is dominated by narrow channels in the host structure, where the tracer can barely squeeze through.
With our simulations, we want to test the influence of these narrow channels, a) by introducing correlations in the obstacle positions, thereby changing the statistics of channel widths, and b) by comparing ballistic and Brownian tracer dynamics, i.e. changing the way channels are probed by the tracer.
While in the first case, the system is stable and dw stays unchanged, in the second case, a splitting in two universality classes can by observed.