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Cluster expansion for the spin-32 Blume-Capel model

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  • Ilkovič, V.

Abstract

The two-spin cluster approximation in the cluster expansion method is applied for the spin-32 Blume-Capel model on the simple cubic lattices. Within this framework the phase diagram and the temperature dependence of the magnetization are obtained. We have found in the ordered phase a first-order line ending at an isolated critical point in the midst of an ordered phase (coexistence of two critical phases). The results are in qualitative agreement with the results of the molecular field approximation.

Suggested Citation

  • Ilkovič, V., 1996. "Cluster expansion for the spin-32 Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 545-553.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:545-553
    DOI: 10.1016/S0378-4371(96)00289-0
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    1. Le Gal, G. & Kaneyoshi, T. & Khater, A., 1993. "Phase diagram and paramagnetic susceptibility of spin 32 Blume-Capel model in the correlated effective-field treatment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 174-187.
    2. Storing, Herbert J. & Strauss, Leo & Berns, Walter & Storing, Herbert J. & Weinstein, Leo & Horwitz, Robert, 1963. "Replies to Schaar and Wolin: I," American Political Science Review, Cambridge University Press, vol. 57(1), pages 151-160, March.
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    Cited by:

    1. Butera, P. & Pernici, M., 2018. "The Blume–Capel model for spins S=1 and 3∕2 in dimensions d=2 and 3," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 22-66.

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