Phase Transitions and Thermodynamic Properties of the Potts Model with Spin States Number q = 4 on a Hexagonal Lattice

2019 ◽  
Vol 129 (3) ◽  
pp. 421-425 ◽  
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
M. K. Mazagaeva ◽  
M. A. Magomedov
Keyword(s):  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Potts Model ◽  
Hexagonal Lattice ◽  
Spin States

scholarly journals Фазовые переходы и термодинамические свойства модели Поттса с числом состояний спина q=4 на решетке кагоме

2020 ◽  
Vol 62 (8) ◽  
pp. 1278
Author(s):  
А.К. Муртазаев ◽  
Т.Р. Ризванова ◽  
М.К. Рамазанов ◽  
М.А. Магомедов
Keyword(s):  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Fourth Order ◽  
Potts Model ◽  
Histogram Analysis ◽  
Spin States ◽  
First Order ◽  
Cumulant Method ◽  
First Order Transition ◽  
Fourth Order Cumulant

Phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states q = 4 on a kagome lattice are investigated by the Mote Carlo method based on the Wang-Landau algorithm. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.

Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice

2021 ◽  
Vol 122 (5) ◽  
pp. 428-433
Author(s):  
A. K. Murtazaev ◽  
M. K. Mazagaeva ◽  
M. K. Ramazanov ◽  
M. A. Magomedov
Keyword(s):  
Phase Diagram ◽  
Potts Model ◽  
Hexagonal Lattice ◽  
Spin States ◽  
Antiferromagnetic Potts Model

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.

Phase Transitions and the Thermodynamic Properties of the Potts Model with the Spin State Number q = 4 at a Kagome Lattice

2020 ◽  
Vol 62 (8) ◽  
pp. 1434-1438
Author(s):  
A. K. Murtazaev ◽  
T. R. Rizvanova ◽  
M. K. Ramazanov ◽  
M. A. Magomedov
Keyword(s):  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Spin State ◽  
Potts Model ◽  
Kagome Lattice ◽  
Kagomé Lattice

Computer simulation of the Potts model with the number of spin states q = 4 on a triangular lattice

2020 ◽  
pp. 57-64
Author(s):  
Magomedsheikh Ramazanov ◽  
Akai Murtazaev
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Thermodynamic Properties ◽  
Potts Model ◽  
Triangular Lattice ◽  
Nearest Neighbors ◽  
Spin States ◽  
Two Dimensional ◽  
The Monte Carlo Method

Based on the Wang-Landau algorithm, the Monte Carlo method is used to study the thermodynamic properties of the two-dimensional Potts model with the number of spin states $q=4$ on a triangular lattice, taking into account the interactions of the first and second nearest neighbors. It is shown that taking into account antiferromagnetic interactions of the second nearest neighbors leads to frustration.

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