Mathematical aspects of the fluctuating barrier problem. Explicit equilibrium and relaxation solutions

Authors
Ankerhold, J Pechukas, P
Citation
J. Ankerhold et P. Pechukas, Mathematical aspects of the fluctuating barrier problem. Explicit equilibrium and relaxation solutions, PHYSICA A, 261(3-4), 1998, pp. 458-470
Citations number
11
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
261
Issue
3-4
Year of publication
1998
Pages
458 - 470
Database
ISI
SICI code
0378-4371(199812)261:3-4<458:MAOTFB>2.0.ZU;2-U
Abstract
The diffusive kinetics in a symmetric double well with a high barrier fluct uating randomly in time is investigated by means of the corresponding Fokke r-Planck equation. Ln the Smoluchowski limit explicit solutions for the equ ilibrium and the relaxation eigenfunctions are given. Moreover, the least n egative eigenvalue, the relaxation rate, is calculated for all values of th e barrier fluctuation rate. (C) 1998 Published by Elsevier Science B.V. All rights reserved.