Dynamic phase transitions and dynamic phase diagrams of the Blume-Emery-Griffiths model in an oscillating field: the effective-field theory based on the Glauber-type stochastic dynamics


ERTAŞ M., KESKİN M.

PHASE TRANSITIONS, vol.88, no.6, pp.634-647, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 88 Issue: 6
  • Publication Date: 2015
  • Doi Number: 10.1080/01411594.2015.1017574
  • Journal Name: PHASE TRANSITIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.634-647
  • Keywords: Effective-field theory, Glauber-type stochastic dynamics, Blume-Emery -Griffiths model, dynamic phase transitions, 05, 50, +q, 05, 70, Fh, 64, 60, Ht, 75, 10, Hk, ISING-MODEL, CAPEL MODEL, MAGNETIC-PROPERTIES, MIXED SPIN-2, MONTE-CARLO, RELAXATION, DIPOLE
  • Erciyes University Affiliated: Yes

Abstract

Using the effective-field theory based on the Glauber-type stochastic dynamics (DEFT), we investigate dynamic phase transitions and dynamic phase diagrams of the Blume-Emery-Griffiths model under an oscillating magnetic field. We presented the dynamic phase diagrams in (T/J, h(0)/J), (D/J, T/J) and (K/J, T/J) planes, where T, h(0), D, K and z are the temperature, magnetic field amplitude, crystal-field interaction, biquadratic interaction and the coordination number. The dynamic phase diagrams exhibit several ordered phases, coexistence phase regions and special critical points, as well as re-entrant behavior depending on interaction parameters. We also compare and discuss the results with the results of the same system within the mean-field theory based on the Glauber-type stochastic dynamics and find that some of the dynamic first-order phase lines and special dynamic critical points disappeared in the DEFT calculation.