Kramers' formula for chemical reactions in the context of Wasserstein gradient flows
Analysis of PDEs
2020-03-13 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1008.3658,
title = {Kramers' formula for chemical reactions in the context of Wasserstein gradient flows},
author = {Michael Herrmann and Barbara Niethammer},
journal= {arXiv preprint arXiv:1008.3658},
year = {2020}
}
Comments
revised proofs, 12 pages, 1 figure