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Spin-1 Blume–Capel model with random crystal field effects


  • Albayrak, Erhan


The random-crystal field spin-1 Blume–Capel model is investigated by the lowest approximation of the cluster-variation method which is identical to the mean-field approximation. The crystal field is either turned on randomly with probability p or turned off with q=1−p in a bimodal distribution. Then the phase diagrams are constructed on the crystal field (Δ)–temperature (kT/J) planes for given values of p and on the (kT/J,p) planes for given Δ by studying the thermal variations of the order parameters. In the latter, we only present the second-order phase transition lines, because of the existence of irregular wiggly phase transitions which are not good enough to construct lines. In addition to these phase transitions, the model also yields tricritical points for all values of p and the reentrant behavior at lower p values.

Suggested Citation

  • Albayrak, Erhan, 2013. "Spin-1 Blume–Capel model with random crystal field effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 552-557.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:552-557 DOI: 10.1016/j.physa.2012.09.026

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    References listed on IDEAS

    1. Sergeev, Y.A. & Zhurov, A.I., 1997. "Asymptotic theory of two-phase gas-solid flow through a vertical tube at moderate pressure gradient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 243-267.
    2. Swailes, David C. & Darbyshire, Kirsty F.F., 1997. "A generalized Fokker-Planck equation for particle transport in random media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 38-48.
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