Noisy classical field theories with two coupled fields: Dependence of escape rates on relative field stiffness

Lan Gong, D. L. Stein

    Research output: Contribution to journalArticle

    Abstract

    Exit times for stochastic Ginzburg-Landau classical field theories with two or more coupled classical fields depend on the interval length on which the fields are defined, the potential in which the fields deterministically evolve, and the relative stiffness of the fields themselves. The latter is of particular importance in that physical applications will generally require different relative stiffnesses, but the effect of varying field stiffnesses has not heretofore been studied. In this paper, we explore the complete phase diagram of escape times as they depend on the various problem parameters. In addition to finding a transition in escape rates as the relative stiffness varies, we also observe a critical slowing down of the string method algorithm as criticality is approached.

    Original languageEnglish (US)
    Article number031119
    JournalPhysical Review E
    Volume84
    Issue number3
    DOIs
    StatePublished - Sep 16 2011

    Fingerprint

    Classical Field Theory
    Escape Rate
    escape
    stiffness
    Stiffness
    Critical Slowing down
    Exit Time
    Ginzburg-Landau
    Criticality
    strings
    Phase Diagram
    phase diagrams
    intervals
    Strings
    Vary
    Interval

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Noisy classical field theories with two coupled fields : Dependence of escape rates on relative field stiffness. / Gong, Lan; Stein, D. L.

    In: Physical Review E, Vol. 84, No. 3, 031119, 16.09.2011.

    Research output: Contribution to journalArticle

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