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The Ising model on a closed cayley tree

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  • Jelitto, Rainer J.

Abstract

An Ising model is considered on a double Cayley tree, where closed graphs of a particularly simple structure are present contrary to the open tree. The existence of such loops strongly supports correlations but is not sufficient for introducing ordinary cooperative behaviour. For this reason the thermodynamic properties are found to differ considerably both from those ones of the open tree and the usual behaviour of the Ising model on regular lattices.

Suggested Citation

  • Jelitto, Rainer J., 1979. "The Ising model on a closed cayley tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 268-280.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:268-280
    DOI: 10.1016/0378-4371(79)90134-1
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    Cited by:

    1. Berger, Toby & Ye, Zhongxing, 1990. "Cardinality of phase transition of Ising models on closed cayley trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(3), pages 549-574.

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