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

2003/06/30 by Sylvain Reynal, Hung-The Diep · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.69.026109

published as Physical Review E 69 (2004) 026109 · 18 pages, 18 figures

arxiv created 2004/04/17 · arxiv updated 2009/11/30

Abstract

We investigate the critical behavior of the one-dimensional q-state Potts model with long-range (LR) interaction 1/r^d+σ, using a multicanonical algorithm. The recursion scheme initially proposed by Berg is improved so as to make it suitable for a large class of LR models with unequally spaced energy levels. The choice of an efficient predictor and a reliable convergence criterion is discussed. We obtain transition temperatures in the first-order regime which are in far better agreement with mean-field predictions than in previous Monte Carlo studies. By relying on the location of spinodal points and resorting to scaling arguments, we determine the threshold value σ_c(q) separating the first- and second-order regimes to two-digit precision within the range 3 ≤ q ≤ 9. We offer convincing numerical evidence supporting σ_c(q)

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