Solution of the master equation of a bistable reaction system

Christian Wissel

Physica A: Statistical Mechanics and its Applications, 1984, vol. 128, issue 1, 150-163

Abstract: In this paper several dynamical properties of the stochastic Schlögl model are calculated. A semi-numerical method of solving the eigenvalue problem of the corresponding master equation enables us to determine all interesting quantities to a very high accuracy. The dependence of the metastable state on the various parameters is shown. The transient evolution in a quenching process is investigated. It is shown how the deterministic discontinuous transition is altered by the stochastics. Finally, the dynamical correlation function has been determined in the bistability region. The demonstrated method can generally be used for the solution of a one-dimensional single step master equation.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:128:y:1984:i:1:p:150-163

DOI: 10.1016/0378-4371(84)90085-2

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