Transition-rate theory for nongradient drift fields

Robert S. Maier, D. L. Stein

    Research output: Contribution to journalArticle

    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

    ASJC Scopus subject areas

    • 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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