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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1103/PhysRevE.58.4372

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-Bl\"ote 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.

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