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

Article

关键词: 1ST-ORDER PHASE-TRANSITIONS;    TEMPERATURE;   

DOI  :  10.1103/PhysRevB.65.094428

来源: SCIE

【 摘 要 】

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 beta(L) finite-size scaling of the form beta(infinity) + a(1)/L + a(2)/L-2, instead of beta(infinity) + theta(1)/L-d+ theta(2)/L-2d. Moreover, we obtain a latent heat Lambda(FBC) = 0.294(11), which does not coincide with the latent heat analytically derived for the same model if periodic boundary conditions are assumed, Lambda(PBC) = 0.4863 58....

【 授权许可】

Free