Cluster analysis of the Ising model and universal finite-size scaling

Yutaka Okabe, Kazuhisa Kaneda, Yusuke Tomita, MacOto Kikuchi, Chin Kun Hu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The recent progress in the study of finite-size scaling (FSS) properties of the Ising model is briefly reviewed. We calculate the universal FSS functions for the Binder parameter g and the magnetization distribution function p(m) for the Ising model on L1 × L2 two-dimensional lattices with titled boundary conditions. We show that the FSS functions are universal for fixed sets of the aspect ratio L1/L2 and the tilt parameter. We also study the percolating properties of the Ising model, giving attention to the effects of the aspect ratio of finite systems. We elucidate the origin of the complex structure of p(m) for the system with large aspect ratio by the multiple-percolating-cluster argument.

Original languageEnglish
Pages (from-to)233-241
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume281
Issue number1
DOIs
Publication statusPublished - 2000 Jun 15
Externally publishedYes

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cluster analysis
Ising model
aspect ratio
scaling
distribution functions
boundary conditions
magnetization

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Cluster analysis of the Ising model and universal finite-size scaling. / Okabe, Yutaka; Kaneda, Kazuhisa; Tomita, Yusuke; Kikuchi, MacOto; Hu, Chin Kun.

In: Physica A: Statistical Mechanics and its Applications, Vol. 281, No. 1, 15.06.2000, p. 233-241.

Research output: Contribution to journalArticle

Okabe, Yutaka ; Kaneda, Kazuhisa ; Tomita, Yusuke ; Kikuchi, MacOto ; Hu, Chin Kun. / Cluster analysis of the Ising model and universal finite-size scaling. In: Physica A: Statistical Mechanics and its Applications. 2000 ; Vol. 281, No. 1. pp. 233-241.
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