Cluster analysis and finite-size scaling for Ising spin systems

Yusuke Tomita, Yutaka Okabe, Chin Kun Hu

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

Based on the connection between the Ising model and a correlated percolation model, we calculate the distribution function for the fraction [Formula Presented] of lattice sites in percolating clusters in subgraphs with n percolating clusters, [Formula Presented] and the distribution function for magnetization [Formula Presented] in subgraphs with n percolating clusters, [Formula Presented] We find that [Formula Presented] and [Formula Presented] have very good finite-size scaling behavior and that they have universal finite-size scaling functions for the model on square, plane triangular, and honeycomb lattices when aspect ratios of these lattices have the proportions [Formula Presented] The complex structure of the magnetization distribution function [Formula Presented] for the system with large aspect ratio could be understood from the independent orientations of two or more percolation clusters in such a system.

Original languageEnglish
Pages (from-to)2716-2720
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume60
Issue number3
DOIs
Publication statusPublished - 1999 Jan 1

ASJC Scopus subject areas

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

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