Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Posters I

DY 10.2: Poster

Monday, March 14, 2011, 17:00–19:00, P4

Time-dependent density functional theory for driven lattice gas systems with interactions — •Marcel Dierl^1,2, Philipp Maass², and Mario Einax^1,2 — ¹Institut für Physik, Technische Universität Ilmenau, 98684 Ilmenau, Germany — ²Fachbereich Physik, Universität Osnabrück, Barbarastraße 7, 49076 Osnabrück, Germany

Driven lattice gases are widely used model systems to study non-equilibrium processes in physics, biology and chemistry. So far most studies were carried for lattice systems with only hard-core exclusions. Here we present a new method to describe the kinetics of driven lattice gases with particle-particle interactions beyond hard-core exclusions. The method is based on the time-dependent density functional theory for lattice systems and allows one to set up closed evolution equations for mean site occupation numbers in a systematic manner. Application of the method to a totally asymmetric site exclusion process with nearest-neighbor interactions yields predictions for the current-density relation in the bulk, the phase diagram of non-equilibrium steady states and the time evolution of density profiles that are in good agreement with results from kinetic Monte Carlo simulations.