THE EFFECT OF THE DIPOLE QUADRUPOLE INTERACTION ON THE PHASE SPACE OF THE SPIN-1 ISING MODEL

Ozkan A., Kutlu B.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, vol.25, no.9, pp.1211-1224, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 9
  • Publication Date: 2011
  • Doi Number: 10.1142/s0217979211058687
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1211-1224
  • Keywords: Spin-1 Ising model, Creutz cellular automaton, dipole-quadrupole interaction, face centered cubic lattice, dense ferromagnetic, EMERY-GRIFFITHS MODEL, CREUTZ CELLULAR-AUTOMATON, BLUME-CAPEL MODEL, SIZE-SCALING RELATIONS, RENORMALIZATION-GROUP THEORY, PATH PROBABILITY METHOD, NEXT-NEAREST-NEIGHBOR, SIMPLE CUBIC LATTICE, MONTE-CARLO, CRITICAL EXPONENTS
  • Gazi University Affiliated: Yes

Abstract

The spin-1 Ising model with the dipole-quadrupole interaction (l = L/J) has been simulated using a cellular automaton (CA) algorithm improved from the Creutz cellular automaton (CCA) for a face-centered cubic (fcc) lattice. The simulations have been made for different l values at the reentrant phase transition and the special points such as the tricritical point (k = K/J = 0, 0 = D/J = 5.7) and the critical end point (k = -0.9, d = 0.7). The simulation results show that the model has the dense ferromagnetic (df, df(+), df(-)) and the ferromagnetic (F, F(+), F(-)) phases with the dipole-quadrupole interaction. The type and the order of the phase transitions change for the nonzero values of k on the special points. Furthermore, the effect of is similar with the effect of the external magnetic field (h).