Two Langevin equations in the Doi-Peliti formalism

Abstract

A system-size expansion method is incorporated into the Doi-Peliti formalism for stochastic chemical kinetics. The basic idea of the incorporation is to introduce a new decomposition of unity associated with a so-called Cole-Hopf transformation. This approach elucidates a relationship between two different Langevin equations; one is associated with a coherent-state path-integral expression and the other describes density fluctuations. A simple reaction scheme $X\rightleftarrows X+X$ is investigated as an illustrative example.

14pages

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Cited by in corpus (6)

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• Effective one-dimension reduction of multi-compartment complex systems dynamics