The effect of the heating rate on the phase transition


PHASE TRANSITIONS, vol.89, no.12, pp.1183-1195, 2016 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 12
  • Publication Date: 2016
  • Doi Number: 10.1080/01411594.2016.1156678
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1183-1195
  • Keywords: Ising model, phase transition, critical phenomena, heating rate, weak first order, cellular automaton, EMERY-GRIFFITHS MODEL, BLUME-CAPEL MODEL, SIMPLE CUBIC LATTICE, 2-DIMENSIONAL ISING-MODEL, MONTE-CARLO, CRITICAL EXPONENTS, CRITICAL-BEHAVIOR, DIAGRAMS, (GAAS)1-XGE2X, SEPARATION


The simple cubic spin-1 Ising model exhibits the ferromagnetic (F)-ferromagnetic (F) phase transition in the low temperature region for the interval 1.40 < d = D/J < 1.48 at k = K/J = -0.5. The degree of the F-F phase transition determines the special point on the (k(B)T/J, d) phase diagram. In this paper, the critical behavior of the F-F phase transition was investigated for different heating rates using the cellular automaton heating algorithm. The universality class and the type of F-F phase transition were analyzed using the finite-size scaling theory and the power law relations. The results show that the F-F phase transition may be the second order, the first order or the weak first order depending on the heating rate in the interval 1.40 < d < 1.48 for k = -0.5.