Determination of the order of phase transitions in Potts model by the graph-weight approach

Details Determination of the order of phase transitions in Potts model by the graph-weight approach Determination of the order of phase transitions in Potts model by the graph-weight approach

1999-05-26

arxiv.org/abs/cond-mat/9905381v1

Physica A 271 (1999) 147-156

Physics

Condensed Matter

Statistical Mechanics

12 pages LaTeX, 2 eps figures; to be published in Physica A

Scientific paper

10.1016/S0378-4371(99)00222-8

We examine the order of the phase transition in the Potts model by using the graph representation for the partition function, which allows treating a non-integer number of Potts states. The order of transition is determined by the analysis of the shape of the graph-weight probability distribution. The approach is illustrated on special cases of the one-dimensional Potts model with long-range interactions and on its mean-field limit.

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