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

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.

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

References in corpus (3)

• Three-Dimensional 3-State Potts Model Revisited With New Techniques
• First-order transition in the one-dimensional three-state Potts model with long-range interactions
• First-order phase transition in $1d$ Potts model with long-range interactions

Cited by in corpus (1)

• Reexamination of the long-range Potts model: a multicanonical approach