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

Zvonko Glumac and Katarina Uzelac

Physica A: Statistical Mechanics and its Applications, 1999, vol. 271, issue 1, 147-156

Abstract: 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.

Keywords: First-order transitions; Graphs; Non-integer q Potts model; Monte Carlo (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:271:y:1999:i:1:p:147-156

DOI: 10.1016/S0378-4371(99)00222-8

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