Computer Simulation of Critical Behavior of Two-Dimensional Weakly Diluted Antiferromagnetic Potts Model on a Triangular Lattice


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Аннотация

The critical behavior of a two-dimensional weakly diluted antiferromagnetic Potts model with spin states q = 3 on a triangular lattice is computationally simulated. The systems with periodic boundary conditions were calculated, when spin concentrations p were 1.0 and 0.9. Systems with linear dimensions L × L = N and L = 9–144 were considered. Static critical exponents of heat capacity α, the susceptibility γ, the order parameter β, and critical exponent ν for a correlation radius are calculated based on a theory of finite-dimensional scaling.

Авторлар туралы

A. Babaev

Amirkhanov Institute of Physics, Dagestan Scientific Center; Dagestan State Pedagogical University

Хат алмасуға жауапты Автор.
Email: b_albert78@mail.ru
Ресей, Makhachkala, Republic of Dagestan, 367025; Makhachkala

A. Murtazaev

Amirkhanov Institute of Physics, Dagestan Scientific Center; Dagestan State University

Email: b_albert78@mail.ru
Ресей, Makhachkala, Republic of Dagestan, 367025; Makhachkala, Dagestan Republic, 367008

G. Ataeva

Amirkhanov Institute of Physics, Dagestan Scientific Center; Dagestan State University of National Economy

Email: b_albert78@mail.ru
Ресей, Makhachkala, Republic of Dagestan, 367025; Makhachkala

T. Rizvanova

Amirkhanov Institute of Physics, Dagestan Scientific Center

Email: b_albert78@mail.ru
Ресей, Makhachkala, Republic of Dagestan, 367025

M. Dzhamaludinov

Amirkhanov Institute of Physics, Dagestan Scientific Center

Email: b_albert78@mail.ru
Ресей, Makhachkala, Republic of Dagestan, 367025

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© Pleiades Publishing, Ltd., 2018