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arXiv · 1808.09108

Asymptotics for scaled Kramers-Smoluchowski equations in several dimensions with general potentials

Insuk Seo·Peyam Tabrizian
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Abstract

In this paper, we generalize the results of Evans and Tabrizian, by deriving asymptotics for the time-rescaled Kramers-Smoluchowski equations, in the case of a general non-symmetric potential function with multiple wells. The asymptotic limit is described by a system of reaction-diffusion equations whose coefficients are determined by the Kramers constants at the saddle points of the potential function and the Hessians of the potential function at global minima.

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Insuk Seo, Peyam Tabrizian. 2018-08-28. Asymptotics for scaled Kramers-Smoluchowski equations in several dimensions with general potentials. https://arxiv.org/abs/1808.09108

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