Two Langevin equations in the Doi-Peliti formalism

Details Two Langevin equations in the Doi-Peliti formalism Two Langevin equations in the Doi-Peliti formalism

2009-12-09

arxiv.org/abs/0912.1652v1

J.Phys.A43:125001,2010

Physics

Condensed Matter

Statistical Mechanics

14pages

Scientific paper

10.1088/1751-8113/43/12/125001

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.

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