Effective-field theory with the differential operator technique for a kinetic Blume-Capel model with random diluted single-ion anisotropy

GÜLPINAR G., VATANSEVER E., Agartioglu M.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.391, no.13, pp.3574-3584, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 391 Issue: 13
  • Publication Date: 2012
  • Doi Number: 10.1016/j.physa.2012.02.016
  • Journal Name: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3574-3584
  • Keywords: Dynamic phase transition, Effective-field theory, Quenched disorder, RANDOM CRYSTAL-FIELD, EMERY-GRIFFITHS MODEL, DYNAMIC PHASE-TRANSITION, OSCILLATING MAGNETIC-FIELD, SPIN-1 ISING-MODEL, SPACE RENORMALIZATION-GROUP, MEAN-FIELD, COOPERATIVE PHENOMENA, TRICRITICAL POINT, HYSTERESIS LOOPS
  • Dokuz Eylül University Affiliated: Yes

Abstract

We present the dynamical phase diagrams of the kinetic Blume-Capel model with random diluted single-ion anisotropy in a square lattice under the presence of a time-varying (oscillating) external magnetic field calculated by an analytical method, the effective-field theory (EFT). The kinetics is modeled with the formalism of a master equation. The time-averaged magnetization (M) acts as the order parameter and divides the temperature-field plane into three regions: ferromagnetic, paramagnetic, and coexistence of ferromagnetic and paramagnetic phases. In addition, the hysteresis loop area and the dynamic correlation function are calculated. It is observed that the inclusion of spin-spin correlations suppress the first-order transition lines and dynamical tricritical points for all values of the crystal-field concentration. (c) 2012 Elsevier B.V. All rights reserved.