The spin-1 Blume-Capel model with random crystal field on the Bethe lattice

Albayrak E.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.390, sa.9, ss.1529-1533, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 390 Sayı: 9
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.physa.2010.12.048
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1529-1533
  • Anahtar Kelimeler: Random crystal field, Bethe lattice, Tricritical points, EMERY-GRIFFITHS MODEL, ONE ISING-MODEL, PHASE-DIAGRAMS, SYSTEM, FERROMAGNET
  • Erciyes Üniversitesi Adresli: Evet

Özet

The dependence of the phase diagrams on the random crystal field (RCF) is investigated for the spin-1 Blume-Capel (BC) model on the Bethe lattice. The calculations are carried out in terms of the recursion relations for the coordination number z = 4 which corresponds to the square lattice. The model presents tricritical points which are observed at lower negative crystal fields and higher temperatures for higher probabilities p and which vanish at lower p's. The effect of randomness is illustrated for p = 0.5 and shown that it changes the phase diagrams drastically from random to non-random systems. The reentrant behavior is also observed for appropriate p values. (C) 2011 Elsevier B.V. All rights reserved.