Area distribution of the planar random loop boundary

被引：9

作者：

Richard, C ^{[1
]}

机构：

[1] Univ Greifswald, Inst Math, D-17487 Greifswald, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 16期

关键词：

D O I：

10.1088/0305-4470/37/16/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We numerically investigate the area statistics of the outer boundary of planar random loops, on the square and triangular lattices. Our Monte Carlo simulations suggest that the underlying limit distribution is the Airy distribution, which was recently found to appear also as the area distribution in the model of self-avoiding loops.

引用

页码：4493 / 4500

页数：8

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