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arXiv math-ph/0208019math-phcond-mat.dis-nnmath.MPmath.PR
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环空临界渗流的交叉公式

Crossing Formulae for Critical Percolation in an Annulus

John Cardy

摘要:

在临界渗流的标度极限范围内,给出了环空相对边界之间存在跨越簇的概率的精确公式。整个分布函数的不同的生成集群的数量也给出了。这些结果是使用库仑气体方法得到的。它们的形式与共形场论的期望进行了比较。

英文摘要:

An exact formula is given for the probability that there exists a spanning cluster between opposite boundaries of an annulus, in the scaling limit of critical percolation. The entire distribution function for the number of distinct spanning clusters is also given. These results are found using Coulomb gas methods. Their forms are compared with the expectations of conformal field theory.

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。

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