Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978764 | Physica A: Statistical Mechanics and its Applications | 2008 | 9 Pages |
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
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
B.U. Felderhof,