Explicit Calculations on Small Non-Equilibrium Driven Lattice Gas Models

Details Explicit Calculations on Small Non-Equilibrium Driven Lattice Gas Models Explicit Calculations on Small Non-Equilibrium Driven Lattice Gas Models

2004-12-21

arxiv.org/abs/cond-mat/0412558v1

Journal of the Korean Physical Society, Vol. 43, No. 2, August 2003, pp. 207-214

Physics

Condensed Matter

Statistical Mechanics

8 pages, 10 figures

Scientific paper

We have investigated the non-equilibrium nature of a lattice gas system consisting of a regular lattice of charged particles driven by an external electric field. For a big system, an exact solution cannot be obtained using a master equation approach since the many-particle system has too many degrees of freedom to allow for exact solutions. We have instead chosen to study small systems as a first step. The small systems will be composed of between two and four particles having two or three possible values of some parameters. Applying periodic boundary conditions and a hard-core or an exclusion-volume constraint and imposing conservation of particle numbers via Kawasaki-type dynamics (particle-hole exchange), we are able to calculate the exact solutions of the steady-state relative probability density function, ri, associated with each configuration of the small system.

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