The simulation of the 2D ferromagnetic Blume-Capel model on a cellular automaton

Kutlu B.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.12, no.9, pp.1401-1413, 2001 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 9
  • Publication Date: 2001
  • Doi Number: 10.1142/s0129183101002747
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1401-1413
  • Keywords: Blume-Capel model, cellular automaton, finite-size scaling, SPIN-1 ISING-MODEL, MONTE-CARLO, RENORMALIZATION-GROUP, UNIVERSALITY, BEHAVIOR
  • Gazi University Affiliated: Yes

Abstract

The two-dimensional ferromagnetic Blume-Capel model is simulated on a cellular automaton, which based on the Creutz cellular automaton for square lattice. The values of the critical temperature and the static critical exponents are estimated within the framework of the finite-size scaling theory for 0 less than or equal to D/J less than or equal to 1.5. The results are compatible with the universal Ising critical behavior.