Phase Transitions in 3D Site-Diluted Potts Model with Spin States q=4

Akai K. Murtazaev; A.B. Babaev; G.Ya. Aznaurova

doi:10.4028/www.scientific.net/SSP.168-169.357

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Phase Transitions in 3D Site-Diluted Potts Model with Spin States q=4

Abstract:

We study the phase transitions and critical phenomena in 3D site-diluted (with nonmagnetic impurities) Potts model with spin states q=4 by Monte-Carlo method. The systems with linear sizes L=20-32 and spin concentrations p=1.00, 0.90, 0.65 are examined. Using the Binder cumulants method the forth order it is shown that the second-order phase transition is observed in strongly diluted model at spin concentration p=0.65; the pure model (p=1.00) and weakly diluted one (p=0.90) reveals the first-order phase transition. On the basis of finite-size scaling theory the static critical parameters of heat capacity, susceptibility, magnetization, and correlation length exponent are calculated.