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DY: Fachverband Dynamik und Statistische Physik

DY 15: Statistical Physics far from equilibrium

DY 15.13: Topical Talk

Mittwoch, 28. März 2012, 13:00–13:30, MA 004

Impact of interaction effects on hopping transport in driven systems — •Mario Einax — Fachbereich Physik, Universität Osnabrück, Barbarastraße 7, 49076 Osnabrück, Germany

Particle transport in low-dimensional biological, chemical and physical systems is of vital importance for many applications and has hence attracted much attention in recent years. Prominent examples are Brownian motors and ratchets, photovoltaic cells, and electron transport in the incoherent limit in molecular wires. A one-dimensional hopping motion is also the decisive transport mechanism in ion conduction through membrane channels and in unidirectional motion of motor proteins along filaments. Driven lattice gases offer a promising approach for studying the role of interaction effects between transported particles in such systems. In this talk I will review how by using the time-dependent density functional theory (TDFT) for lattice systems a systematic method is provided that allows one to treat the kinetics of driven lattice gases with interactions. To demonstrate its effectiveness, I will consider the motion of interacting particles through an open channel under peristaltic driving [1] and a totally asymmetric site exclusion process (TASEP) with nearest-neighbor interactions [2,3].

[1]

M. Einax, G. C. Solomon, W. Dieterich, and A. Nitzan, J. Chem. Phys. 133, 054102 (2010).

[2]

M. Dierl, P. Maass, and M. Einax, Europhys. Lett. 93, 50003 (2011).

[3]

M. Dierl, P. Maass, and M. Einax, Phys. Rev. Lett., in Press (2012).