Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model

Tereza Mendes, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear σ model [=SU(2) principal chiral model], on lattices from L = 128 to L = 16 384. Our data for the integrated autocorrelation time τint,Script M sign2 are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.

    Original languageEnglish (US)
    Pages (from-to)3438-3444
    Number of pages7
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume53
    Issue number6
    StatePublished - Mar 15 1996

    Fingerprint

    Critical Slowing down
    Monte Carlo Algorithm
    Multigrid Method
    Critical Behavior
    Autocorrelation
    Monte Carlo method
    Dynamic Behavior
    Nonlinear Model
    Logarithmic
    Interpolate
    Cycle
    autocorrelation
    interpolation
    cycles
    Model

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

    Cite this

    Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model. / Mendes, Tereza; Sokal, Alan D.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 53, No. 6, 15.03.1996, p. 3438-3444.

    Research output: Contribution to journalArticle

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