Critical nonequilibrium cluster-flip relaxations in Ising models

Yusuke Tomita, Yoshihiko Nonomura

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the stretched-exponential function, we find that the dynamics changes from the stretched exponential to the power function as the dimensionality is increased: The two-, three-, four-, and infinite-dimensional Ising models are numerically studied, and the four- and infinite-dimensional Ising models exhibit the power-law relaxation. We also show that the finite-size scaling analysis using the normalized correlation length is markedly effective for the analysis of relaxational processes rather than the direct use of the Monte Carlo step.

本文言語English
論文番号052110
ジャーナルPhysical Review E
98
5
DOI
出版ステータスPublished - 2018 11 12

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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