Scaling laws for the 2d 8-state Potts model with Fixed Boundary Conditions

Details Scaling laws for the 2d 8-state Potts model with Fixed Boundary Conditions Scaling laws for the 2d 8-state Potts model with Fixed Boundary Conditions

2002-03-12

arxiv.org/abs/hep-lat/0203011v1

Phys.Rev. B65 (2002) 094428

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevB.65.094428

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 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 2d, 8-state spin Potts model. In particular, our results support a pseudo-critical beta finite-size scaling of the form beta(infinity) + a/L + b/L^2, instead of beta(infinity) + c/L^d + d/L^{2d}. Moreover, our value for the latent heat is 0.294(11), which does not coincide with the latent heat analytically derived for the same model if periodic boundary conditions are assumed, which is 0.486358...

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