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First-order transitions in large-q one-dimensional Potts model with power-law decaying interactions

We have performed exact analytical calculations of the cluster probability distribution and interface free energy in the finite q-state Potts chains with interactions decaying with distance r as r^(1+sigma). By presenting the partition function in form of the polynomial in q, the advantage of using the Hamiltonian configurations compared with graph or connectivity approach was examined. Scaling analysis of the probability performed for large q (q >= 16) yields the first- order phase transition for 0 < sigma < 1.

long-range interactions ; Potts model

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