Large fluctuations and singular behavior of nonequilibrium systems

D. Pinna, A. D. Kent, D. L. Stein

    Research output: Contribution to journalArticle

    Abstract

    We present a general geometrical approach to the problem of escape from a metastable state in the presence of noise. The accompanying analysis leads to a simple condition, based on the norm of the drift field, for determining whether caustic singularities alter the escape trajectories when detailed balance is absent. We apply our methods to systems lacking detailed balance, including a nanomagnet with a biaxial magnetic anisotropy and subject to a spin-transfer torque. The approach described within allows determination of the regions of experimental parameter space that admit caustics.

    Original languageEnglish (US)
    Article number012114
    JournalPhysical Review E
    Volume93
    Issue number1
    DOIs
    StatePublished - Jan 11 2016

    Fingerprint

    Detailed Balance
    Nonequilibrium Systems
    Caustic
    escape
    alkalies
    Fluctuations
    Metastable States
    Biaxial
    norms
    metastable state
    Torque
    torque
    Parameter Space
    Anisotropy
    trajectories
    Singularity
    Trajectory
    Norm
    anisotropy

    ASJC Scopus subject areas

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

    Cite this

    Large fluctuations and singular behavior of nonequilibrium systems. / Pinna, D.; Kent, A. D.; Stein, D. L.

    In: Physical Review E, Vol. 93, No. 1, 012114, 11.01.2016.

    Research output: Contribution to journalArticle

    Pinna, D. ; Kent, A. D. ; Stein, D. L. / Large fluctuations and singular behavior of nonequilibrium systems. In: Physical Review E. 2016 ; Vol. 93, No. 1.
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