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Cluster approach to dilute magnetism

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  • Holvorcem, Paulo R.C.
  • Osório, Roberto

Abstract

A cluster algebra is developed for the definition of independent correlation functions in the cluster-variation method (CVM) for the spin-1 Ising model. A scheme is then introduced for the study of site-dilute spin-12 Ising models by means of the CVM. The procedure regards the site-dilute spin-12 model as the spin-1 model with additional constraints due to dilution. The Desjardins-Steinsvoll algortihm is used for the transformation of the CVM equations into a set of differential equations for the independent correlation functions with the inverse temperature as parameter. The evolution of the correlation functions with temperature and the behavior of response functions such as the specific heat and the susceptability are then obtained for any degree of dilution. As an introduction to this scheme, its detailed application is presented here for the simple case of the pair approximation.

Suggested Citation

  • Holvorcem, Paulo R.C. & Osório, Roberto, 1988. "Cluster approach to dilute magnetism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 431-450.
    • Handle: RePEc:eee:phsmap:v:152:y:1988:i:3:p:431-450
    DOI: 10.1016/0378-4371(88)90198-7
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    References listed on IDEAS

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    1. Osório, R. & Koiller, Belita, 1985. "Lennard-Jones triangular lattice gas in the Kikuchi approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 263-277.
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