Phase transitions in a three-dimensional diluted Potts model with 4 spin states

2011 ◽  
Vol 37 (2) ◽  
pp. 134-137 ◽  
Author(s):  
A. K. Murtazaev ◽  
A. B. Babaev ◽  
G. Ya. Aznaurova
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
Three Dimensional ◽  
Spin States

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

2010 ◽  
Vol 168-169 ◽  
pp. 357-360 ◽  
Author(s):  
Akai K. Murtazaev ◽  
A.B. Babaev ◽  
G.Ya. Aznaurova
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Order Phase Transition ◽  
Potts Model ◽  
Finite Size ◽  
Critical Parameters ◽  
Spin States ◽  
Spin Concentration ◽  
First Order Phase Transition ◽  
First Order Phase

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.

Investigation of Phase Transitions in the Site-Diluted Three-Dimensional Potts Model

2012 ◽  
Vol 190 ◽  
pp. 687-690
Author(s):  
A.K. Murtazaev ◽  
A.B. Babaev
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
Three Dimensional ◽  
Finite Size ◽  
Correlation Radius ◽  
Second Order ◽  
First Order ◽  
Nonmagnetic Impurities ◽  
Wolff Algorithm ◽  
First Order Phase

The phase transitions and critical phenomena in three-dimensional (3D) site-diluted 3-and 4-state Potts models is investigated by Monte-Carlo method based on the highly efficient Wolff algorithm. The systems with linear sizesL=20-44 at spin concentrationsp=1.00, 0.95, 0.90, 0.80, 0.70, 0.65 are explored. The second-order phase transition is shown to occur in the three-dimensional 3-state Potts model with nonmagnetic impurities. In the 4-state Potts model there are observed first-order phase transitions in weakly diluted state, when the model is strongly diluted the first-order phase transitions change to the second-order one. On the basis of the finite-size scaling theory static critical exponents of specific heatα, susceptibilityγ, magnetizationβ, and exponent of correlation radiusνfor the systems under study are calculated.

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