Critical behavior of the two-dimensional Ising model with next-nearest-neighbor antiferromagnetic interaction on the Creutz cellular automaton

Kutlu B.

PHYSICA A, cilt.234, sa.3-4, ss.807-818, 1997 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 234 Sayı: 3-4
  • Basım Tarihi: 1997
  • Doi Numarası: 10.1016/s0378-4371(96)00309-3
  • Dergi Adı: PHYSICA A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.807-818
  • Gazi Üniversitesi Adresli: Evet

Özet

The two-dimensional Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions of ratio R is simulated on the Creutz cellular automaton. The values of the critical temperature and the critical exponents for O less than or equal to R < 1/2 are estimated within the framework of the finite size scaling theory. The dependence of T-c on R agrees with the crossover scaling theory for phi = gamma = 1.75. The results for 0 < R < 1/2 are compatible with Ising critical behavior.