The simulation of 2D spin-1 Ising model with positive biquadratic interaction on a cellular automaton

Kutlu B.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.14, sa.10, ss.1305-1320, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 10
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1142/s0129183103005443
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1305-1320
  • Anahtar Kelimeler: spin-1 Ising model, Creutz cellular automaton, finite size scaling, universality, EMERY-GRIFFITHS MODEL, BLUME-CAPEL MODEL, PHASE-DIAGRAMS, CRYSTAL-FIELD, TRANSITIONS, FERROMAGNET, BEHAVIOR, SYSTEMS
  • Gazi Üniversitesi Adresli: Evet

Özet

The two-dimensional antiferromagnetic spin-1 Ising model with positive biquadratic interaction is simulated on a cellular automaton which based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transition of the model are presented for a comparison with those obtained from other calculations. We confirm the existence of the intermediate phase observed in previous works for some values of J/K and D/K. The values of the static critical exponents ( beta, gamma and upsilon) are estimated within the framework of the finite-size scaling theory for D/K < 2J/K. Although the results are compatible with the universal Ising critical behavior in the region of D/K < 2J/K - 4, the model does not exhibit any universal behavior in the interval 2J/K - 4 < D/K < 2J/K.