Kramers' formula for chemical reactions in the context of Wasserstein gradient flows

Details Kramers' formula for chemical reactions in the context of Wasserstein gradient flows Kramers' formula for chemical reactions in the context of Wasserstein gradient flows

2010-08-21

arxiv.org/abs/1008.3658v2

Commun. Math. Sci., vol. 9, no. 2, pp.623-635, 2011

Mathematics

Analysis of PDEs

revised proofs, 12 pages, 1 figure

Scientific paper

We derive Kramers' formula as singular limit of the Fokker-Planck equation
with double-well potential. The convergence proof is based on the Rayleigh
principle of the underlying Wasserstein gradient structure and complements a
recent result by Peletier, Savar\'e and Veneroni.

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