Re-entrant phase transitions of the Blume-Emery-Griffiths model for a simple cubic lattice on the cellular automaton


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Seferoglu N. , Kutlu B.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.374, no.1, pp.165-172, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 374 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1016/j.physa.2006.07.010
  • Title of Journal : PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Page Numbers: pp.165-172
  • Keywords: spin-1 Ising model, Creutz cellular automaton, re-entrant phase transition, simple cubic lattice, 6-DIMENSIONAL ISING-MODEL, SIZE-SCALING RELATIONS, NEXT-NEAREST-NEIGHBOR, CAPEL MODEL, RENORMALIZATION-GROUP, BIQUADRATIC INTERACTIONS, TRICRITICAL BEHAVIOR, CRITICAL EXPONENTS, POTTS-MODEL, GAS MODEL

Abstract

The spin-1 Ising (BEG) model with the nearest-neighbor bilinear and biquadratic interactions and single-ion anisotropy is simulated on a cellular automaton which is improved from the Creutz cellular automaton (CCA) for a simple cubic lattice. The simulations have been made for several sets of parameters K/J and D/J in the -3 < D/J <= 0 and -1 <= K/J <= 0 parameter regions. The re-entrant and double re-entrant phase transitions of the BEG model are determined from the temperature variations of the thermodynamic quantities (M, Q and chi). The phase diagrams characterizing phase transitions are compared with those obtained from other methods. (c) 2006 Elsevier B.V. All rights reserved.