First-order transition in the one-dimensional three-state Potts model with long-range interactions

Abstract

The first-order phase transition in the three-state Potts model with long-range interactions decaying as $1/r^{1+\sigma }$ has been examined by numerical simulations using recently proposed Luijten-Blöte algorithm. By applying scaling arguments to the interface free energy, the Binder's fourth-order cumulant, and the specific heat maximum, the change in the character of the transition through variation of parameter $\sigma$ was studied.

6 pages (containing 5 figures), to appear in Phys. Rev. E

References in corpus (2)

• Classical critical behavior of spin models with long-range interactions
• Three-Dimensional 3-State Potts Model Revisited With New Techniques

Cited by in corpus (10)

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• Critical behavior of the long-range Ising chain from the largest-cluster probability distribution
• Phase-transitions of the random bond Potts chain with long-range interactions
• Complex-q zeros of the partition function of the Potts model with long-range interactions
• GPU-based simulation of the long-range Potts model via parallel tempering
• Determination of the order of phase transitions in Potts model by the graph-weight approach