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

M. Baig, R. Villanova

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3 Citations (Scopus)

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 β(L) finite-size scaling of the form β(∞) + a1/L + a2/L2, instead of β(∞) + θ1/Ld + θ2/L2d. Moreover, we obtain a latent heat ΛFBC=0.294(11), which does not coincide with the latent heat analytically derived for the same model if periodic boundary conditions are assumed, ΛPBC=0.4863 58....
Original languageEnglish
Pages (from-to)1-7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number9
DOIs
Publication statusPublished - 1 Mar 2002

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    Baig, M., & Villanova, R. (2002). Scaling laws for the two-dimensional eight-state Potts model with fixed boundary conditions. Physical Review B - Condensed Matter and Materials Physics, 65(9), 1-7. https://doi.org/10.1103/PhysRevB.65.094428