Dynamic phase transitions in the kinetic spin-1 Blume-Capel model on the Bethe lattice

Deviren S. A., ALBAYRAK E.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.390, no.20, pp.3283-3289, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 390 Issue: 20
  • Publication Date: 2011
  • Doi Number: 10.1016/j.physa.2011.05.020
  • Journal Name: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3283-3289
  • Keywords: Dynamic phase transition, Bethe lattice, Kinetic Ising model, Spin 1, Oscillating field
  • Erciyes University Affiliated: Yes

Abstract

The stationary states of the kinetic spin-1 Blume-Capel (BC) model on the Bethe lattice are analyzed in detail in terms of recursion relations. The model is described using a Glauber-type stochastic dynamics in the presence of a time-dependent oscillating external magnetic field (h) and crystal field (D) interactions. The dynamic order parameter, the hysteresis loop area and the dynamic correlation are calculated. It is found that the magnetization oscillates around nonzero values at low temperatures (T) for the ferromagnetic (F) phase while it only oscillates around zero values at high temperatures for the paramagnetic (P) phase. There are regions of the phase space where the two solutions coexist. The dynamic phase diagrams are obtained on the (kT/J, h/J) and (kT/J, D/J) planes for the coordination number q = 4. In addition to second-order and first-order phase transitions, dynamical tricritical points and triple points are also observed. (C) 2011 Elsevier B.V. All rights reserved.