Transition-rate theory for nongradient drift fields

Robert S Maier, D. L. Stein

Research output: Contribution to journalArticle

56 Citations (Scopus)

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 - 1992

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escape
saddle points
metastable state
attraction
trajectories
exponents

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  • Physics and Astronomy(all)

Cite this

Transition-rate theory for nongradient drift fields. / Maier, Robert S; Stein, D. L.

In: Physical Review Letters, Vol. 69, No. 26, 1992, p. 3691-3695.

Research output: Contribution to journalArticle

Maier, Robert S ; Stein, D. L. / Transition-rate theory for nongradient drift fields. In: Physical Review Letters. 1992 ; Vol. 69, No. 26. pp. 3691-3695.
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