Diffusion over barriers: Eigenanalysis of the Smoluchowski equation for bistable potentials

M. López de Haro

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 1, 65-84

Abstract: A variational method is used to get the eigenvalues and eigenfunctions of the one-dimensional Smoluchowski equation for two types of symmetric bistable potential fields. The effects of barrier height and width on the rate of escape of particles over the barrier (first non-zero eigenvalue) are evaluated numerically and the results are compared with Kramers' theory in order to assess its range of application.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:1:p:65-84

DOI: 10.1016/0378-4371(82)90083-8

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