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.This publication has 8 references indexed in Scilit:
- Specific heat of a three-dimensional Ising ferromagnet above the Curie temperatureProceedings of the Physical Society, 1967
- Probability of Initial Ring Closure for Self-Avoiding Walks on the Face-Centered Cubic and Triangular LatticesThe Journal of Chemical Physics, 1967
- Classical Heisenberg ModelPhysical Review B, 1967
- High-temperature specific heat and susceptibility of the classical Heisenberg modelProceedings of the Physical Society, 1966
- Lattice Constant Systems and Graph TheoryJournal of Mathematical Physics, 1966
- On high temperature expansions for the Heisenberg modelProceedings of the Physical Society, 1965
- On the Theory of Randomly Dilute Ising and Heisenberg FerromagneticsJournal of Mathematical Physics, 1964
- Excluded-Volume Problem and the Ising Model of FerromagnetismPhysical Review B, 1959