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Nuclear Physics B

A study of the correlation length near a first-order phase transition: The three-dimensional three-state Potts model

Rajiv V. Gavai, F. Karsch, Bengt Petersson

Published Aug 1, 1989• 87 citations
Publisher
DOI
10.1016/0550-3213(89)90235-6

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On the basis of a histogram data analysis, phase transitions (PTs) in a three-dimensional diluted ferromagnetic 3- and 4-state Potts models are investigated. Systems with linear dimensions of L = 20–60 and spin concentrations of p = 1.00, 0.95, and 0.65 are studied. It is shown that the introduction of weak disorder ( p ∼ 0.95) into the system in the three-dimensional Potts model with q = 3 is sufficient to change a first-order phase transition to a second-order one, whereas, in the three-dimensional Potts model with q = 4, the change of a first-order phase transition to a second-order one occurs only in the presence of strong disorder ( p ∼ 0.65).