Nonequilibrium behaviors of the three-dimensional Heisenberg model in the Swendsen-Wang algorithm

Yoshihiko Nonomura, Yusuke Tomita

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2 Citations (Scopus)

Abstract

Recently, it was shown [Y. Nonomura, J. Phys. Soc. Jpn. 83, 113001 (2014)JUPSAU0031-901510.7566/JPSJ.83.113001] that the nonequilibrium critical relaxation of the two-dimensional (2D) Ising model from a perfectly ordered state in the Wolff algorithm is described by stretched-exponential decay, and a universal scaling scheme was found to connect nonequilibrium and equilibrium behaviors. In the present study we extend these findings to vector spin models, and the 3D Heisenberg model could be a typical example. To evaluate the critical temperature and critical exponents precisely using the above scaling scheme, we calculate nonequilibrium ordering from the perfectly disordered state in the Swendsen-Wang algorithm, and we find that the critical ordering process is described by stretched-exponential growth with a comparable exponent to that of the 3D XY model. The critical exponents evaluated in the present study are consistent with those in previous studies.

Original languageEnglish
Article number012101
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume93
Issue number1
DOIs
Publication statusPublished - 2016 Jan 4

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exponents
scaling
Ising model
critical temperature
decay

ASJC Scopus subject areas

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

Cite this

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