Abstract

The phase transitions in the two-dimensional diluted Potts model with the number of spin states q = 3 are studied by computer simulation method. The systems with linear sizes L × L = N, L = 10–160 at spin concentrations p = 1.00, 0.80 are considered. The obtained numerical data show that the second-order phase transition takes place in the pure Potts model with the number of spin states q = 3, according to the theory. The introduction of a disorder in the form of nonmagnetic impurities (p = 0.80) in the Potts model with q = 3 conserves the second-order phase transition.

中文翻译：

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方形晶格上自旋态数 q = 3 的稀释二维 Potts 模型中的相变

摘要

 采用计算机模拟方法研究了自旋态数q =3的二维稀释Potts模型中的相变。考虑在自旋浓度p = 1.00, 0.80时线性尺寸L × L = N , L = 10–160 的系统。得到的数值数据表明，根据理论，二阶相变发生在纯 Potts 模型中，自旋态数q = 3。在q = 3 的 Potts 模型中以非磁性杂质 ( p = 0.80)的形式引入无序，保留了二级相变。