Simulation of the Three-Component Potts Model on a Hexagonal Lattice by the Monte Carlo Method

被引：2
作者：
Babaev, A. B. [1 ,2 ]
Murtazaev, A. K. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Phys, Dagestan Fed Res Ctr, Makhachkala 367010, Russia
[2] Russian Acad Sci, Dagestan Fed Res Ctr, Makhachkala 367032, Russia
来源：
PHYSICS OF METALS AND METALLOGRAPHY | 2023年 / 124卷 / 07期
关键词：
Potts model; critical exponents; Monte Carlo method; thermodynamic parameters; phase transitions;
D O I：
10.1134/S0031918X23600896
中图分类号：
TF [冶金工业];
学科分类号：
0806 ;
摘要：
Computer simulation of the three-component Potts model on a hexagonal lattice was carried out using the Monte Carlo method. Systems with linear dimensions L x L = N, L = 20-320 in units of interatomic distances are considered. Based on the theory of finite-size scaling, the static critical exponents of heat capacity alpha, susceptibility gamma, magnetization beta, and correlation radius nu are calculated. The data we obtained confirm that in the considered Potts model on a hexagonal lattice, a second-order phase transition is observed with critical exponents corresponding to the universality class of the three-component Potts model.
引用
收藏
页码：653 / 659
页数：7
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