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Master equation for a bistable chemical system with perturbed particle velocity distribution function.

作者信息

Dziekan P, Lemarchand A, Nowakowski B

机构信息

Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 1):021128. doi: 10.1103/PhysRevE.85.021128. Epub 2012 Feb 21.

DOI:10.1103/PhysRevE.85.021128
PMID:22463173
Abstract

We present a modified master equation for a homogeneous gaseous reactive system which includes nonequilibrium corrections due to the reaction-induced perturbation of the particle velocity distribution function. For the Schlögl model, the modified stochastic approach predicts nonequilibrium-induced transitions between different dynamical regimes, including the transformation of a monostable system into a bistable one, and vice versa. These predictions are confirmed by the comparison with microscopic simulations using the direct simulation Monte Carlo method. Compared to microscopic simulations of the particle dynamics, the modified master equation approach proves to be much more efficient.

摘要

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