Time-dependent density functional theory for driven lattice gas systems with interactions

• Published in: Europhysics letters Vol. 93; no. 5; pp. 50003 - 50007
• Main Authors: Dierl, M, Maass, P, Einax, M
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.03.2011; EPS, SIF, EDP Sciences and IOP Publishing
• Subjects: 05.50.+q; 05.60.Cd; 05.70.Ln
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/93/50003

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.