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

Author

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  • Glumac, Zvonko
  • Uzelac, Katarina

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.

Suggested Citation

  • Glumac, Zvonko & Uzelac, Katarina, 1999. "Determination of the order of phase transitions in Potts model by the graph-weight approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(1), pages 147-156.
    • Handle: RePEc:eee:phsmap:v:271:y:1999:i:1:p:147-156
    DOI: 10.1016/S0378-4371(99)00222-8
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