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An asymptotic expansion of the nonlinear master equation
Authors:W Horsthemke  M Malek-Mansour  B Hayez
Institution:(1) Faculté des Sciences, Service de Chimie Physique II, Université Libre de Bruxelles, Brussels, Belgium
Abstract:Recently, a nonlinear master equation has been suggested to account for the effect of diffusion in the fluctuations of nonlinear systems away from equilibrium. An asymptotic expansion of the solutions of this master equation in the inverse of the diffusion constant is presented. The applicability of the method is illustrated with several examples of model chemical reactions.
Keywords:Fluctuations  master equation  asymptotic expansion  nonlinear systems
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