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

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  • Yang, C.S
  • Jiang, I.M

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.

Suggested Citation

  • Yang, C.S & Jiang, I.M, 2000. "Randomness-induced evolution of first-order to second-order phase transition in the three-state Potts antiferromagnetic model on a triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 282-286.
  • Handle: RePEc:eee:phsmap:v:281:y:2000:i:1:p:282-286
    DOI: 10.1016/S0378-4371(00)00052-2
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