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

    Fingerprint

    Classical Field Theory
    Continuum mechanics
    Partial differential equations
    Nanowires
    escape
    Chemical activation
    Transition Model
    Stationary States
    partial differential equations
    Activation
    nanowires
    Partial differential equation
    Exact Solution
    activation
    intervals
    Interval

    ASJC Scopus subject areas

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

    Cite this

    The escape problem in a classical field theory with two coupled fields. / Gong, Lan; Stein, D. L.

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 43, No. 40, 405004, 08.10.2010.

    Research output: Contribution to journalArticle

    @article{46a5ecc7ac9d4192aff9076493bdc10c,
    title = "The escape problem in a classical field theory with two coupled fields",
    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.",
    author = "Lan Gong and Stein, {D. L.}",
    year = "2010",
    month = "10",
    day = "8",
    doi = "10.1088/1751-8113/43/40/405004",
    language = "English (US)",
    volume = "43",
    journal = "Journal of Physics A: Mathematical and Theoretical",
    issn = "1751-8113",
    publisher = "IOP Publishing Ltd.",
    number = "40",

    }

    TY - JOUR

    T1 - The escape problem in a classical field theory with two coupled fields

    AU - Gong, Lan

    AU - Stein, D. L.

    PY - 2010/10/8

    Y1 - 2010/10/8

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=78649667639&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=78649667639&partnerID=8YFLogxK

    U2 - 10.1088/1751-8113/43/40/405004

    DO - 10.1088/1751-8113/43/40/405004

    M3 - Article

    VL - 43

    JO - Journal of Physics A: Mathematical and Theoretical

    JF - Journal of Physics A: Mathematical and Theoretical

    SN - 1751-8113

    IS - 40

    M1 - 405004

    ER -