Transitions between wells and escape by diffusion in a one-dimensional potential landscape

B.U. Felderhof

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 27, 6725-6733

Abstract: The time-dependence of the occupation probabilities of neighboring wells due to diffusion in one dimension is formulated in terms of a set of generalized rate equations describing transitions between neighboring wells and escape across a final barrier. The equations contain rate coefficients, memory coefficients, and a long-time coefficient characterizing the amplitude of long-time decay. On a more microscopic level the stochastic process is described by a Smoluchowski equation for the one-dimensional probability distribution. A numerical procedure is presented which allows calculation of the transport coefficients in the set of generalized rate equations on the basis of the Smoluchowski equation.

Keywords: Transitions; Diffusion; Smoluchowski equation; Reduced description (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:27:p:6725-6733

DOI: 10.1016/j.physa.2008.09.005

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