Analysis of critical short-time langevin dynamics in two-dimensional φ4 theory on the basis of a higher-order algorithm

Tsuyoshi Otobe, Hiromichi Nakazato, Keisuke Okano, Kazuya Yuasa, Nozomu Hattori

    Research output: Contribution to journalArticle

    Abstract

    We investigate the critical short-time scaling of the two-dimensional lattice φ4 field theory with a Langevin dynamics. Starting from a "hot" initial configuration but with a small magnetization, the critical initial increase of the magnetization is observed, through which we determine the critical point. From the short-time relaxation dynamics of various quantities at the critical point obtained, the dynamic critical exponents θ, z and the static exponent β/ν are evaluated. In executing a Langevin simulation, an appropriate discretization method with respect to the time degree of freedom becomes essentially important to be adopted and we show that the well-known second-order form of discretized Langevin equation works well to investigate the short-time dynamics.

    Original languageEnglish
    Pages (from-to)735-745
    Number of pages11
    JournalInternational Journal of Modern Physics C
    Volume20
    Issue number5
    DOIs
    Publication statusPublished - 2009 May

    Fingerprint

    Langevin Dynamics
    Higher Order
    Magnetization
    Critical point
    critical point
    Discretization Method
    Langevin Equation
    exponents
    Relaxation Time
    Critical Exponents
    magnetization
    Field Theory
    Degree of freedom
    Exponent
    Scaling
    Relaxation time
    Configuration
    degrees of freedom
    relaxation time
    scaling

    Keywords

    • φ theory
    • Critical phenomena
    • Higher-order algorithm
    • Langevin dynamics
    • Short-time scaling

    ASJC Scopus subject areas

    • Computer Science Applications
    • Computational Theory and Mathematics
    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Analysis of critical short-time langevin dynamics in two-dimensional φ4 theory on the basis of a higher-order algorithm. / Otobe, Tsuyoshi; Nakazato, Hiromichi; Okano, Keisuke; Yuasa, Kazuya; Hattori, Nozomu.

    In: International Journal of Modern Physics C, Vol. 20, No. 5, 05.2009, p. 735-745.

    Research output: Contribution to journalArticle

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    AU - Yuasa, Kazuya

    AU - Hattori, Nozomu

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