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 journalArticlepeer-review

    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 - Statistical, Nonlinear, and Soft Matter Physics
    Volume84
    Issue number3
    DOIs
    StatePublished - Sep 16 2011

    ASJC Scopus subject areas

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

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