Configurational Studies of the Ising and Classical Heisenberg Models
- 1 February 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 39 (2), 614-615
- https://doi.org/10.1063/1.2163546
Abstract
Recent developments in graph classification and enumeration on crystal lattices carried out by the Theoretical Group at King's College are described. As a result of this enumeration, several new terms have been added to the high‐temperature specific‐heat expansions for the Ising and classical Heisenberg models. The critical behavior is discussed. It has been possible to single out the types of graph which provide a dominant asymptotic contribution to the coefficients of these expansions. Hence the Curie temperature can be related to the statistical properties of self‐avoiding walks on crystal lattices.Keywords
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