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, cilt.390, sa.20, ss.3283-3289, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 390 Sayı: 20
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.physa.2011.05.020
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3283-3289
  • Anahtar Kelimeler: Dynamic phase transition, Bethe lattice, Kinetic Ising model, Spin 1, Oscillating field, EFFECTIVE-FIELD THEORY, EMERY-GRIFFITHS MODEL, ISING-MODEL, OSCILLATING FIELD, TRICRITICAL POINT, CRYSTAL-FIELD, TRIPLET IONS, HYSTERESIS, SYSTEMS, RESONANCE
  • Erciyes Üniversitesi Adresli: Evet

Özet

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.