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

2009 ◽  
Vol 152-153 ◽  
pp. 571-574 ◽  
Author(s):  
Akai K. Murtazaev ◽  
A.B. Babaev ◽  
G.Ya. Aznaurova
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Potts Model ◽  
Three Dimensional ◽  
Finite Size ◽  
Nonmagnetic Impurities ◽  
First Order Phase Transition ◽  
The Monte Carlo Method ◽  
First Order Phase ◽  
Single Cluster

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.

GRAVITATIONAL WAVES FROM COSMOLOGICAL PHASE TRANSITIONS

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1541-1544
Author(s):  
ARIEL MÉGEVAND
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Gravitational Waves ◽  
Order Phase Transition ◽  
Gravitational Radiation ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

I discuss the gravitational radiation produced in a first-order phase transition due to the turbulence that is caused by bubble expansion. I compare the cases of deflagration and detonation bubbles.

Modeling of Phase Transitions Kinetics in Systems with Two Interacting Order Parameters

2016 ◽  
Vol 845 ◽  
pp. 166-169 ◽  
Author(s):  
Dmitry A. Kuzmin ◽  
Igor V. Bychkov ◽  
Ivan Yu. Biryukov ◽  
Alexander P. Kamantsev ◽  
Victor V. Koledov ◽  
...  
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Order Phase Transition ◽  
Transition Process ◽  
Order Parameters ◽  
First Order ◽  
First Order Phase Transition ◽  
1D Model ◽  
Coupled Solution ◽  
First Order Phase

We present common 1D model of first order phase transition based on coupled solution of order parameters evolution and heat transfer equations. Such a model may be used for simulation of phase transitions in multiferroics or magnetostructural phase transitions, for example. First order phase transition process has been described by Landau-Khalatnikov-like equation with the thermodynamic potential of 2-3-4 and 2-4-6 types.

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