Cayley tree approximation for the Potts model
- 1 August 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (8) , 1228-1235
- https://doi.org/10.1088/0305-4470/8/8/007
Abstract
An approximation to the partition function of the standard Potts model is constructed by considering only the dominant tree-like configurations. This approximation gives a good representation of the positions of the non-physical singularities obtained from low-temperature series, and it is also possible to relate the behaviour of the approximations to the order of the Potts model transitions. It is found that for the two-dimensional lattices studied the transition is first-order for q>4, whereas for the three-dimensional lattices it is first-order when q>2.Keywords
This publication has 18 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
- Configurational studies of the Potts modelsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Continuous phase transitions which should be first orderSolid State Communications, 1974
- Tricritical behaviour in an Ising system and the Potts modelJournal of Physics A: Mathematical, Nuclear and General, 1974
- The phase transition in the continuous Potts modelJournal of Physics C: Solid State Physics, 1974
- Potts model at the critical temperatureJournal of Physics C: Solid State Physics, 1973
- Investigation of the Potts Model Using Renormalization-Group TechniquesPhysical Review B, 1973
- Low-temperature series for the Ising modelJournal of Physics C: Solid State Physics, 1970