The escape problem in a classical field theory with two coupled fields

Lan Gong, D. L. Stein

    Research output: Contribution to journalArticle

    Abstract

    We introduce and analyze a system of two coupled partial differential equations with external noise. The equations are constructed to not only model transitions of monovalent metallic nanowires with non-axisymmetric intermediate or end states, but also have more general applicability. They provide a rare example of a system for which an exact solution of nonuniform stationary states can be found. We find a transition in activation behavior as the interval length on which the fields are defined is varied. We discuss several applications to physical problems.

    Original languageEnglish (US)
    Article number405004
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume43
    Issue number40
    DOIs
    StatePublished - Oct 8 2010

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    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Modeling and Simulation
    • Mathematical Physics
    • Physics and Astronomy(all)

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