强无序系统中临界团簇的密度
Density of critical clusters in strips of strongly disordered systems
摘要：
我们考虑了两个具有无序控制临界点的模型，并研究了被限制在条带中并接触一个或两个边界的团簇的分布。对于经典的无规键Potts模型，我们利用组合优化算法研究了大q极限下的最优Fortuin-Kasteleyn团簇.对于无规横场，定义了Ising链团簇，并利用强无序重整化群方法计算了它们的结构。数值计算的密度分布接近边界显示遵循缩放预测。对于随机键Potts模型，我们得到了精确的临界指数的数值估计，并证明了密度分布很好地描述了保角公式。
英文摘要：
We consider two models with disorder dominated critical points and study the distribution of clusters which are confined in strips and touch one or both boundaries. For the classical random bond Potts model in the large-q limit we study optimal Fortuin-Kasteleyn clusters by combinatorial optimization algorithm. For the random transverse-field Ising chain clusters are defined and calculated through the strong disorder renormalization group method. The numerically calculated density profiles close to the boundaries are shown to follow scaling predictions. For the random bond Potts model we have obtained accurate numerical estimates for the critical exponents and demonstrated that the density profiles are well described by conformal formulae.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
