Phase diagrams of the FCC Blume-Emery-Griffiths model on a cellular automaton

Oezkan A., Kutlu B.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.18, no.9, pp.1417-1427, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 9
  • Publication Date: 2007
  • Doi Number: 10.1142/s012918310701142x
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1417-1427
  • Keywords: spin-1 Ising (BEG) model, critical end point, bicritical point, tricritical point, Creutz cellular automaton, phase diagram, face-centered-cubic lattice, LATTICE-GAS MODEL, RENORMALIZATION-GROUP THEORY, 2-DIMENSIONAL ISING-MODEL, NEXT-NEAREST-NEIGHBOR, SIMPLE CUBIC LATTICE, CAPEL MODEL, MONTE-CARLO, BIQUADRATIC INTERACTION, TRICRITICAL BEHAVIOR, CRITICAL EXPONENTS
  • Gazi University Affiliated: Yes


The spin-1 Ising (BEG) model has been simulated on a cellular automaton improved from the Creutz cellular automaton (CCA) for a face-centered cubic lattice. The simulations have been made in the 0 <= d = D/J <= 7 and -1.25 < k = KIJ <= 0 parameter region. In this region, the ground state diagram (k, d) has ferromagnetic and perfect zero ordering regions. The ferromagnetic ordering region separates into four regions which exhibit different phase transition types as the first order, the second order, the reentrant, the double-reentrant and the successive phase transitions. The simulation results show that the model has the tricritical points, the critical end points and the bicritical points on the (kT(C)/zJ, d) and (kT(C)/zJ, k) planes as indicated by the Mean Field approximation results.