Crossover and self-averaging in the two-dimensional site-diluted ising model: Application of probability-changing cluster algorithm

Yusuke Tomita, Y. Okabe

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The two-dimensional site-diluted Ising model was simulated using probability-changing cluster (PCC) Monte Carlo algorithm. The crossover from the percolation fixed point to the pure Ising fixed point with system size was also studied. The importance of corrections to finite-size scaling in strong-dilution as well as weak-dilution regions was also discussed. The results revealed that the 2D site-diluted Ising model exhibits weak self-averaging.

Original languageEnglish
Pages (from-to)361141-361146
Number of pages6
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume64
Issue number3 II
Publication statusPublished - 2001 Sep
Externally publishedYes

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Ising model
dilution
crossovers
scaling

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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abstract = "The two-dimensional site-diluted Ising model was simulated using probability-changing cluster (PCC) Monte Carlo algorithm. The crossover from the percolation fixed point to the pure Ising fixed point with system size was also studied. The importance of corrections to finite-size scaling in strong-dilution as well as weak-dilution regions was also discussed. The results revealed that the 2D site-diluted Ising model exhibits weak self-averaging.",
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