Dresden 2009 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 17: Poster II
BP 17.20: Poster
Mittwoch, 25. März 2009, 17:15–19:45, P3
Influence of a repulsive short-range interaction on the transport properties of a driven two-channel system — •Anna Melbinger1, Tobias Reichenbach2, Thomas Franosch1, and Erwin Frey1 — 1Arnold Sommerfeld Center for Theoretical Physics (ASC), Center for NanoScience (CeNS), Department of Physics Ludwig-Maximilians-Universität, München, Germany — 2The Rockefeller University, New York, U.S.A.
We investigate the behavior of a two-channel driven diffusive system where particles on different lanes interact via a repulsive short-range interaction. This system is motivated by biological transport phenomena happening in each cell. The coupling incoperates the effect of large cargos attached to motor proteins which cause an obstruction stemming from the excluded volume. In addition, the model serves as a classical description for spin currents where particles with two internal states are driven through a lattice. Depending on the strength of coupling, the behavior of the system can be divided into three regimes of qualitatively different behavior. While the model can be mapped on a one-channel problem for small and for large potentials, a new and rich phase behavior emerges for an intermediate strength of coupling. In this regime, the transport properties of the system are influenced in a nontrivial way. We rationalize our observations in an analytic approach employing a one-site cluster approximation, and connect the current-density relation with the phase diagrams using the Extremal Current Principle. Our results are confirmed by stochastic simulations.