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arXiv:hep-lat/0203011 · Physical review. B, Condensed matter

Scaling laws for the two-dimensional eight-state Potts model with fixed boundary conditions

M. Baig, Ramon Villanova

Published Feb 19, 2002• 4 citations
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Abstract

We study the effects of frozen boundaries in a Monte Carlo simulation near a first-order phase transition. Recent theoretical analysis of the dynamics of first-order phase transitions has enabled us to state the scaling laws governing the critical regime of the transition. We check these new scaling laws performing a Monte Carlo simulation of the two-dimensional, eight-state spin Potts model. In particular, our results support a pseudocritical $\ensuremath{\beta}(L)$ finite-size scaling of the form $\ensuremath{\beta}(\ensuremath{\infty}{)+a}_{1}{/L+a}_{2}{/L}^{2},$ instead of $\ensuremath{\beta}(\ensuremath{\infty})+{\ensuremath{\theta}}_{1}{/L}^{d}+{\ensuremath{\theta}}_{2}{/L}^{2d}.$ Moreover, we obtain a latent heat ${\ensuremath{\Lambda}}_{\mathrm{FBC}}=0.294(11),$ which does not coincide with the latent heat analytically derived for the same model if periodic boundary conditions are assumed, ${\ensuremath{\Lambda}}_{\mathrm{PBC}}=0.486358\dots{}.$

DOI
10.1103/physrevb.65.094428

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