Exact solution for the diffusion in bistable potentials
We solve analytically the Fokker-Planck equation for a one-parameter family of symmetric, attractive, nonharmonic potentials which include double-well situations. The exact knowledge of the eigenfunctions and eigenvalues allows us to fully discuss the transient behavior of the probability density. In particular, for the bistable potentials, we can give analytical expressions for the probability current over the working barrier and for the onset time which characterizes the transition from uni- to bimodal probability densities. © 1982 Plenum Publishing Corporation.
Center for Studies in Statistical Mechanics, University of Texas, Austin, 78712, Texas, United States
Cited By (since 1996): 6
Export Date: 6 December 2012
Language of Original Document: English
Correspondence Address: Hongler, M.O.; Center for Studies in Statistical Mechanics, University of Texas, Austin, 78712, Texas, United States
Record created on 2013-01-07, modified on 2017-01-14