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Physica A Statistical Mechanics and its Applications

Histogram Monte Carlo approach to thermal properties of the Potts model on planar lattices

Jau-Ann Chen, Chin‐Kun Hu

Published May 1, 1995• 0 citations
Publisher
DOI
10.1016/0378-4371(95)00046-a

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The Monte Carlo method is used to study phase transitions in a two-dimensional weakly diluted 4-state Potts model on a hexagonal lattice. Systems with linear dimensions L=21/336 at spin concentrations p=1.00, 0.90 are considered. The use of the fourth-order binder cumulants method and histogram data analysis showed that the introduction of nonmagnetic impurities has a stabilizing role in the implementation of the second-order phase transition in the Potts model under study on a hexagonal lattice. Keywords: Potts model, Monte Carlo method, thermodynamic parameters, disorder.