Transition-rate theory for nongradient drift fields

Robert S. Maier, D. L. Stein

Research output: Contribution to journalArticle

61 Scopus citations

Abstract

Classical transition-rate theory provides analytic techniques for computing the asymptotics of a weakly perturbed particle's mean residence time in the basin of attraction of a metastable state. If the dynamics of the particle are derivable from a potential, it typically escapes over a saddle point. In the nonpotential case exit may take place over an unstable point instead, leading to unexpected phenomena. These may include an anomalous pre-exponential factor, with a continuously varying exponent, in the residence time asymptotics. Moreover, the most probable escape trajectories may eventually deviate from the least-action escape path.

Original languageEnglish (US)
Pages (from-to)3691-3695
Number of pages5
JournalPhysical review letters
Volume69
Issue number26
DOIs
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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