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

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 dimensi...

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Bibliographic Details
Published in:Physics of the solid state 2018-06, Vol.60 (6), p.1180-1183
Main Authors: Babaev, A. B., Murtazaev, A. K., Ataeva, G. Ya, Rizvanova, T. R., Dzhamaludinov, M. R.
Format: Article
Language:English
Subjects:
Analysis
ANTIFERROMAGNETISM
BOUNDARY CONDITIONS
Computer simulation
COMPUTERIZED SIMULATION
CONCENTRATION RATIO
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATIONS
Dilution
Mathematical models
ORDER PARAMETERS
PERIODICITY
Phase Transitions
Physics
Physics and Astronomy
Solid State Physics
SPECIFIC HEAT
SPIN
Two dimensional models
TWO-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS
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Summary: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.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783418060069