The critical behaviour of the long-range Potts chain from the largest cluster probability distribution

Katarina Uzelac and Zvonko Glumac

Physica A: Statistical Mechanics and its Applications, 2002, vol. 314, issue 1, 448-453

Abstract: We present the numerical study of the one-dimensional Potts model with power-law decaying ferromagnetic interactions. The largest cluster probability distribution is obtained by Monte Carlo simulations using the Swendsen–Wang cluster algorithm with cumulative probabilities. The finite-size scaling analysis of the largest cluster is used to derive the critical behaviour in the non-classical regime of this model for various values of q.

Keywords: Phase transitions; q-state Potts model; Long-range interactions; Monte-Carlo simulations (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:314:y:2002:i:1:p:448-453

DOI: 10.1016/S0378-4371(02)01182-2

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