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.


Published in:
Journal of Statistical Physics, 29, 2, 317-327
Year:
1982
Publisher:
Kluwer Academic Publishers-Plenum Publishers
ISSN:
00224715
Keywords:
Note:
Center for Studies in Statistical Mechanics, University of Texas, Austin, 78712, Texas, United States
Cited By (since 1996): 6
Export Date: 6 December 2012
Source: Scopus
Language of Original Document: English
Correspondence Address: Hongler, M.O.; Center for Studies in Statistical Mechanics, University of Texas, Austin, 78712, Texas, United States
Other identifiers:
Scopus: 2-s2.0-0038963020
Laboratories:




 Record created 2013-01-07, last modified 2018-04-20


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