Statistical mechanics of Z(M) models on Cayley trees

H. Moraal

Physica A: Statistical Mechanics and its Applications, 1981, vol. 105, issue 3, 472-492

Abstract: The problem of “small-field” phase transitions for Z(M) models on Cayley trees is solved in detail. Phase diagrams for zero field are obtained for M = 2, 3, 4, 5 and 6. As special cases, Potts models are also considered and all phases (not only those in zero field) are identified. The M → ∈ limit, the planar rotator model, is also solved completely for the zero-field case. The relevance of the results (especially of the phase diagrams) for the problems associated with Z(M) models on real lattices is discussed.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:105:y:1981:i:3:p:472-492

DOI: 10.1016/0378-4371(81)90106-0

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