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

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  • Felderhof, B.U.

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.

Suggested Citation

  • Felderhof, B.U., 2008. "Transitions between wells and escape by diffusion in a one-dimensional potential landscape," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6725-6733.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:27:p:6725-6733
    DOI: 10.1016/j.physa.2008.09.005
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