论文标题
POTTS模型中的几何簇的统计：统计力学方法
Statistics of geometric clusters in Potts model: statistical mechanics approach
论文作者
论文摘要
考虑了POTTS在图（网络）上POTTS模型中具有相等值的Potts旋转的渗透。开发了查找Potts簇尺寸分布的一般方法。当出现相等值的Potts旋转的巨型簇时，它允许对渗滤过渡的完整描述。该方法应用于用任意配位数z的伯特晶格上的短距Q状态铁磁Potts模型。获得了几何自旋簇及其大小分布的场 - 温度渗透相图的分析结果。最后一个似乎与键概率与经典的非相关键渗透成正比，该键概率取决于温度和POTTS模型参数。
The percolation of Potts spins with equal values in Potts model on graphs (networks) is considered. The general method for finding the Potts clusters size distributions is developed. It allows for full description of percolation transition when giant cluster of equal-valued Potts spins appears. The method is applied to the short-ranged q-state ferromagnetic Potts model on the Bethe lattices with the arbitrary coordination number z. The analytical results for the field-temperature percolation phase diagram of geometric spin clusters and their size distribution are obtained. The last appears to be proportional to that of the classical non-correlated bond percolation with the bond probability, which depends on temperature and Potts model parameters.
