Phase Transitions in Two-Dimensional Structures Described by Impurity Potts Models

The phase transitions in the two-dimensional impurity Potts model on a square lattice are investigated on the basis of numerical methods of computational physics. The calculations are performed for weakly diluted systems with periodic boundary conditions at a spin concentration of p = 0.95. Systems...

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Bibliographic Details
Published in:Surface investigation, x-ray, synchrotron and neutron techniques x-ray, synchrotron and neutron techniques, 2021-09, Vol.15 (5), p.1076-1079
Main Authors: Murtazaev, A. K., Babaev, A. B., Ataeva, G. Ya, Murtazaeva, A. A.
Format: Article
Language:English
Subjects:
Boundary conditions
Chemistry and Materials Science
Histograms
Impurities
Materials Science
Numerical methods
Phase transitions
Surfaces and Interfaces
Thin Films
Two dimensional models
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Summary:The phase transitions in the two-dimensional impurity Potts model on a square lattice are investigated on the basis of numerical methods of computational physics. The calculations are performed for weakly diluted systems with periodic boundary conditions at a spin concentration of p = 0.95. Systems with linear dimensions of L × L = N , L = 10–160 are considered. The effect of insignificant disorder in the form of quenched-in non-magnetic impurities on first-order phase transitions is studied. The temperature dependences of the heat capacity, susceptibility, and magnetization are given as functions of the linear dimensions of the systems under study. Using the fourth-order Binder cumulant method and histogram analysis of the data, it is shown that a small impurity concentration of c = 5% ( c = 1 – p ) is sufficient to change the order of the phase transition from the first to the second.
ISSN:1027-4510
1819-7094
DOI:10.1134/S1027451021050116