Randomness-induced evolution of first-order to second-order phase transition in the three-state Potts antiferromagnetic model on a triangular lattice

C.s Yang and I.m Jiang

Physica A: Statistical Mechanics and its Applications, 2000, vol. 281, issue 1, 282-286

Abstract: The three-state Potts antiferromagnetic model on the two-dimensional triangular lattice has a weak first-order transition in the pure case. Our Monte Carlo simulation displays a transition temperature at T=0.628, which is consistent with previous studies. The nature of phase transition due to the randomness of quenched bonds is considered in this study. The energy histogram shows a single Gaussian peak due to randomness of the bond, while the first-order phase transition displays distinct double peaks due to the coexistence of two states. The histogram analysis ascertains the significance of order variation from the first-order to the second-order phase transition in this system.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:281:y:2000:i:1:p:282-286

DOI: 10.1016/S0378-4371(00)00052-2

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