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Random crystal field effect on the kinetic spin-3/2 Blume–Capel model under a time-dependent oscillating field

Author

Listed:
  • El Hachimi, A.G.
  • Dakir, O.
  • Sidi Ahmed, S.
  • Zaari, H.
  • El Yadari, M.
  • Benyoussef, A.
  • El Kenz, A.

Abstract

The effect of random crystal-field on the stationary states of the kinetic spin-3/2 Blume–Capel model is investigated within the framework of the mean-field approach. The Glauber-type stochastic dynamics is used to describe the time evolution of the system which is subject to a time-dependent oscillating external magnetic field. In addition to the well-known phase transitions and the appearance of the partly ferromagnetic phase characterized by the magnetization m= 1 in equilibrium case, a new dynamical regions between the ferromagnetic phases F1/2, F1 and F3/2 are found where F3/2+F1/2,F3/2+F1, F1+F1/2 phases coexist for a weak value of the reduced magnetic field (h). Whereas for higher value of h both solutions ordered F and disordered P phases coexist. Hence we present six types topologies of phase diagrams which exhibit dynamical first-order, second-order transition lines, dynamical tricritical and isolated critical end points. Furthermore, the dynamical thermal behavior magnetizations, susceptibilities and phase space trajectories are given and discussed.

Suggested Citation

  • El Hachimi, A.G. & Dakir, O. & Sidi Ahmed, S. & Zaari, H. & El Yadari, M. & Benyoussef, A. & El Kenz, A., 2016. "Random crystal field effect on the kinetic spin-3/2 Blume–Capel model under a time-dependent oscillating field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 248-258.
    • Handle: RePEc:eee:phsmap:v:458:y:2016:i:c:p:248-258
    DOI: 10.1016/j.physa.2016.02.070
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