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 1

Keywords

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

ASJC Scopus subject areas

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

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