Simulation of the eight-dimensional Ising model on the Creutz cellular automaton

Aktekin N.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.8, no.2, pp.287-292, 1997 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 1997
  • Doi Number: 10.1142/s0129183197000266
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.287-292
  • Keywords: Ising model, cellular automata, critical exponents, COMPUTATION, ALGORITHM
  • Gazi University Affiliated: No

Abstract

The eight-dimensional Ising model is simulated on the Creutz cellular automaton. By fitting the data for the order parameter to a power law with correction and by using the renormalization group prediction for its leading critical exponent as the criterion, the value of the critical temperature is found as T-c = 14.898+/-0.010 at which the computed value of the leading critical exponent for the magnetic susceptibility is in agreement with the renormalization group prediction.