Publication: Non-equilibrium statistical mechanics of a driven lattice gas model: Probability function, FDT-violation, and Monte Carlo simulations
Issued Date
2011-03-01
Resource Type
ISSN
20103913
20103905
20103905
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2-s2.0-78449235672
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Mahidol University
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SCOPUS
Bibliographic Citation
International Journal of Computational and Mathematical Sciences. Vol.5, No.2 (2011), 84-92
Suggested Citation
K. Sudprasert, M. Precharattana, N. Nuttavut, D. Triampo, B. Pattanasiri, Y. Lenbury, W. Triampo Non-equilibrium statistical mechanics of a driven lattice gas model: Probability function, FDT-violation, and Monte Carlo simulations. International Journal of Computational and Mathematical Sciences. Vol.5, No.2 (2011), 84-92. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/11805
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Title
Non-equilibrium statistical mechanics of a driven lattice gas model: Probability function, FDT-violation, and Monte Carlo simulations
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Abstract
The study of non-equilibrium systems has attracted increasing interest in recent years, mainly due to the lack of theoretical frameworks, unlike their equilibrium counterparts. Studying the steady state and/or simple systems is thus one of the main interests. Hence in this work we have focused our attention on the driven lattice gas model (DLG model) consisting of interacting particles subject to an external field E. The dynamics of the system are given by hopping of particles to nearby empty sites with rates biased for jumps in the direction of E. Having used small two dimensional systems of DLG model, the stochastic properties at nonequilibrium steady state were analytically studied. To understand the non-equilibrium phenomena, we have applied the analytic approach via master equation to calculate probability function and analyze violation of detailed balance in term of the fluctuation-dissipation theorem. Monte Carlo simulations have been performed to validate the analytic results.