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arXiv · 1703.07460

A semiclassical approach to the Kramers--Smoluchowski equation

Laurent Michel·Maciej Zworski
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Abstract

We consider the Kramers--Smoluchowski equation at a low temperature regime and show how semiclassical techniques developed for the study of the Witten Laplacian and Fokker--Planck equation provide quantitative results. This equation comes from molecular dynamics and temperature plays the role of a semiclassical paramater. The presentation is self-contained in the one dimensional case, with pointers to the recent paper \cite{Mi16} for results needed in higher dimensions. One purpose of this note is to provide a simple introduction to semiclassical methods in this context.

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Laurent Michel, Maciej Zworski. 2017-03-21. A semiclassical approach to the Kramers--Smoluchowski equation. https://arxiv.org/abs/1703.07460

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