Derivation of low-temperature expansions for Ising model. VII. The honeycomb-triangular code system
- 1 September 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (9) , 1441-1447
- https://doi.org/10.1088/0305-4470/8/9/013
Abstract
For pt.VI see abstr. A72435 of 1973. It is shown how the principle of complete code balance can be exploited in a systematic way and the method is generalized to apply to partial codes. Euler's law of the edges is used to establish a latent symmetry property of the code system. The new results make possible the derivation of extended series.Keywords
This publication has 17 references indexed in Scilit:
- Series expansions for the Potts model. II. Partial generating functions in two dimensionsJournal of Physics A: Mathematical, Nuclear and General, 1974
- 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
- Derivation of high field expansions for Ising model on the hydrogen peroxide latticeJournal of Physics A: Mathematical, Nuclear and General, 1974
- Configurational studies of the Potts modelsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Three-state Potts model and anomalous tricritical pointsJournal of Physics A: Mathematical, Nuclear and General, 1973
- Derivation of low temperature expansions for the Ising model with S>1/2Journal of Physics A: Mathematical, Nuclear and General, 1973
- Hard-Sphere Lattice Gases. II. Plane-Triangular and Three-Dimensional LatticesThe Journal of Chemical Physics, 1967
- Hard-Sphere Lattice Gases. I. Plane-Square LatticeThe Journal of Chemical Physics, 1965
- Derivation of Low-Temperature Expansions for the Ising Model of a Ferromagnet and an AntiferromagnetJournal of Mathematical Physics, 1965