Weak universality of a site-percolation model with two different sizes of particles on a square lattice

Ryoji Sahara, Hiroshi Mizuseki, Kaoru Ohno, Yoshiyuki Kawazoe

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A site-percolation model with two different sizes of particles is newly introduced on a square lattice. To estimate the fractal dimension and critical exponents with high accuracy, a finite-size scaling analysis is performed with a Monte Carlo simulation. The obtained fractal dimension coincides with that of the ordinary model, while the estimated exponents β, γ, and ν are slightly different from those of the ordinary model. However, the normalized exponents β̂ = β/ν and γ̂ = γ/ν remain the same as in the ordinary model, which is a manifestation of weak universality.

Original languageEnglish
Pages (from-to)3755-3758
Number of pages4
Journaljournal of the physical society of japan
Volume68
Issue number12
DOIs
Publication statusPublished - 1999 Dec

Keywords

  • Critical exponent
  • Fractal dimension
  • Heterogeneous system
  • Percolation
  • Universality
  • Weak universality

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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