Series studies of the four-state Potts model
- 1 September 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (9) , L229-L233
- https://doi.org/10.1088/0305-4470/12/9/002
Abstract
The four-state Potts model is studied via series expansions. Free energy and susceptibility high-temperature series are calculated for hypercubic lattices of general dimensionality. Estimates of critical temperatures and critical indices gamma and alpha are obtained as functions of dimensionality. The free energy, magnetisation, and susceptibility low-temperature series are calculated for d=4. The high-and low-temperature series together indicate that the phase transition in this dimensionality is first order. From this result the authors suggest that the apparent second-order transitions shown by the susceptibility for d>or=4 might be explained as spinodal pseudotransitions.Keywords
This publication has 12 references indexed in Scilit:
- High-temperature expansion methods for Ising systems with quenched impuritiesPhysical Review B, 1979
- Classification of Order-Disorder Transitions in Common Adsorbed Systems: Realization of the Four-State Potts ModelPhysical Review Letters, 1977
- Series Study of a Spin-Glass Model in Continuous DimensionalityPhysical Review Letters, 1977
- Critical properties of two tensor models with application to the percolation problemPhysical Review B, 1976
- High-temperature series study of the q-component Potts model in two and three dimensionsJournal of Physics A: General Physics, 1975
- High-field expansions for multi-state lattice modelsJournal of Physics A: General Physics, 1975
- Metastable statesPhysica, 1974
- Potts model at the critical temperatureJournal of Physics C: Solid State Physics, 1973
- Universality and a 3d Ising model whose critical exponent γ varies continuously with a parameterPhysics Letters A, 1972
- High temperature series for the susceptibility of the Ashkin-Teller modelJournal of Physics C: Solid State Physics, 1972