Communications in Mathematical Sciences
Volume 9 (2011)
Kramers’ formula for chemical reactions in the context of Wasserstein gradient flows
Pages: 623 – 635
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, Savaré and Veneroni.
Kramers’ formula, Fokker-Planck equation, Wasserstein gradient flow, Rayleigh principle
2010 Mathematics Subject Classification
35Q84, 49S05, 80A30