High-field expansions for multi-state lattice models
- 1 May 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (5), 727-741
- https://doi.org/10.1088/0305-4470/8/5/008
Abstract
High-field expansions are obtained for general three-state models on the face-centred cubic lattice. It is then shown that the method of partial generating functions can be extended to give series expansions for general multi-state models, such as the Potts models and the general spin Ising models.Keywords
This publication has 21 references indexed in Scilit:
- Low temperature series for the Ising S=1 model with biquadratic interactions and the Potts modelJournal of Physics A: Mathematical, Nuclear and General, 1974
- Series expansions for the Potts model: high-field expansionsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Tricritical behaviour in an Ising system and the Potts modelJournal of Physics A: Mathematical, Nuclear and General, 1974
- On the spontaneous order of the eight-vertex modelJournal of Physics C: Solid State Physics, 1973
- High temperature series for the susceptibility of the Ashkin-Teller modelJournal of Physics C: Solid State Physics, 1972
- Ising Model for theTransition and Phase Separation in-MixturesPhysical Review A, 1971
- Two-dimensional bonded lattice fluids I. Interstitial modelJournal of Physics A: General Physics, 1970
- Critical behaviour of a two-dimensional non-planar Ising latticePhysica, 1964
- On the theory of cooperative phenomena in crystalsAdvances in Physics, 1960
- The Propagation of Order in Crystal LatticesPhysical Review B, 1943