{"title":"Non-equilibrium Statistical Mechanics of a Driven Lattice Gas Model: Probability Function, FDT-violation, and Monte Carlo Simulations","authors":"K. Sudprasert, M. Precharattana, N. Nuttavut, D. Triampo, B. Pattanasiri, Y. Lenbury, W. Triampo","country":null,"institution":"","volume":54,"journal":"International Journal of Chemical and Molecular Engineering","pagesStart":511,"pagesEnd":520,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/8956","abstract":"The study of non-equilibrium systems has attracted\r\nincreasing interest in recent years, mainly due to the lack of\r\ntheoretical frameworks, unlike their equilibrium counterparts.\r\nStudying the steady state and\/or simple systems is thus one of the\r\nmain interests. Hence in this work we have focused our attention on\r\nthe driven lattice gas model (DLG model) consisting of interacting\r\nparticles subject to an external field E. The dynamics of the system\r\nare given by hopping of particles to nearby empty sites with rates\r\nbiased for jumps in the direction of E. Having used small two\r\ndimensional systems of DLG model, the stochastic properties at nonequilibrium\r\nsteady state were analytically studied. To understand the\r\nnon-equilibrium phenomena, we have applied the analytic approach\r\nvia master equation to calculate probability function and analyze\r\nviolation of detailed balance in term of the fluctuation-dissipation\r\ntheorem. Monte Carlo simulations have been performed to validate\r\nthe analytic results.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 54, 2011"}