High-temperature series study of the q-component Potts model in two and three dimensions
- 1 June 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (6) , 891-904
- https://doi.org/10.1088/0305-4470/8/6/008
Abstract
High-temperature series for the free energy of the q-component Potts model in the presence of arbitrary external fields are generated to eight order for five lattices and subsequently analysed. In two dimensions the higher critical exponents gamma , gamma 3 are estimated to be 1.42, 3.60 and 1.20, 2.62 for q=3 and 4 respectively. Evidence for the possible divergence of the order parameter fluctuation at the first-order transition point for q>or=5 is presented. In three dimensions the question of the order of the transition is directly investigated in the temperature-order parameter plane and analysis of the series indicates that the transition is of first order for q>or=3.Keywords
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