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Effects of random-crystal-field on the kinetic Blume Capel model

Author

Listed:
  • El Yadari, M.
  • Benayad, M.R.
  • Benyoussef, A.
  • El Kenz, A.

Abstract

The effects of random crystal field on the stationary states of the kinetic spin-1 Blume Capel model are studied using the Glauber-type stochastic dynamics under the time-dependent oscillating field assumption. Our investigation, based on the equilibrium ground state phase diagram, revealed many interesting phenomena. The known phases, in the equilibrium case, are obtained for high field and are represented by limit cycles. The phase diagram of the pure pure kinetic Ising spin-12 and spin-1 Blume Capel models are deduced as particular cases. First-order, second-order transition lines, dynamical critical and dynamical double critical end points are also obtained.

Suggested Citation

  • El Yadari, M. & Benayad, M.R. & Benyoussef, A. & El Kenz, A., 2010. "Effects of random-crystal-field on the kinetic Blume Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4677-4687.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4677-4687
    DOI: 10.1016/j.physa.2010.06.034
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    Cited by:

    1. Shi, Xiaoling & Wei, Guozhu, 2012. "Effective-field theory on the kinetic spin-1 Blume–Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 29-34.
    2. Shi, Xiaoling & Zhao, Jie & Xu, Xingguang, 2015. "Phase diagram of the mixed Ising model with Fe4N structure under a time-dependent oscillating magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 234-240.

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