Investigation of the Critical Properties in the 3D Site-Diluted Potts Model

Abstract:

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The effect of quenched nonmagnetic impurities on phase transitions in the three-dimensional Potts model with the number of spin states q=3 is studied using the Wolff single-cluster algorithm of the Monte Carlo method. By the method of fourth-order Binder cumulants, it is demonstrated that the second-order phase transition occurs in the model under study at spin concentrations p=0.9, 0.8, 0.7, and 0.65, while the first-order phase transition is observed in the pure model (p=1.0). The static critical exponents (CEs) α (heat capacity), γ (susceptibility), β (magnetization), and ν (correlation length) are calculated based on the finite-size scaling theory.

Info:

Periodical:

Solid State Phenomena (Volumes 152-153)

Edited by:

N. Perov

Pages:

571-574

DOI:

10.4028/www.scientific.net/SSP.152-153.571

Citation:

A. K. Murtazaev et al., "Investigation of the Critical Properties in the 3D Site-Diluted Potts Model", Solid State Phenomena, Vols. 152-153, pp. 571-574, 2009

Online since:

April 2009

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$35.00

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