Abstract

The influence of a weak disorder in the form of quenched nonmagnetic impurities on the phase transitions (PTs) in a three-dimensional 5-state Potts model is studied using the cluster Wolff algorithm of the Monte Carlo method. Systems with linear sizes L = 10–120 at spin concentrations p = 1.00 and 0.80 are considered. Using the fourth-order Binder cumulant method and histogram analysis, we show that the introduction of a weak quenched disorder (p = 0.80) in the form of nonmagnetic impurities changes a first-order PT into a second-order PT.

中文翻译：

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淬火非磁性杂质对三维 Potts 模型中相变的影响

摘要

使用蒙特卡罗方法的簇沃尔夫算法研究了淬火非磁性杂质形式的弱无序对三维 5 态 Potts 模型中相变 (PT) 的影响。考虑了自旋浓度p = 1.00 和 0.80时线性尺寸L = 10–120 的系统。使用四阶 Binder 累积量方法和直方图分析，我们表明以非磁性杂质的形式引入弱淬火无序 ( p = 0.80) 将一阶 PT 改变为二阶 PT。