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Randomness-induced second-order transition in the two-dimensional eight-state Potts model: A Monte Carlo study

1992; American Physical Society; Volume: 69; Issue: 8 Linguagem: Inglês

10.1103/physrevlett.69.1213

1092-0145

S. Chen, Alan M. Ferrenberg, D. P. Landau,

Opinion Dynamics and Social Influence

We have studied the effect of quenched, bond randomness on the nature of the phase transition in the two-dimensional eight-state Potts model. Through extensive Monte Carlo simulations, we confirm that the phase transition changes from first order to second order. A finite-size-scaling analysis of several thermodynamic quantities strongly suggests that the critical exponents fall into the universality class of the two-dimensional Ising model.