Critical exponents of the two-dimensional Ising model with next-nearest-neighbor and four-spin interactions on the Creutz cellular automaton

Kutlu B.

PHYSICA A, vol.243, no.1-2, pp.199-212, 1997 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 243 Issue: 1-2
  • Publication Date: 1997
  • Doi Number: 10.1016/s0378-4371(97)00255-0
  • Journal Name: PHYSICA A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.199-212
  • Gazi University Affiliated: Yes


The two-dimensional Ising model with nearest-neighbor, next-nearest-neighbor and four-spin interactions is simulated on the Creutz cellular automaton. For J'less than or equal to 0 the values of critical exponents in the antiferromagnetic interaction region are estimated within the framework of the finite-size scaling theory. The calculated exponents for interaction ratios R=1/20 and J'less than or equal to 0 are in a good agreement with their theoretical values of alpha=0, beta=1/8, gamma=7/4, eta=1/4 and nu=1 for the Ising model.