PERCOLATION OF HARD DISKS

被引：0

作者：

Aristoff, D. ^{[1
]}

机构：

[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF APPLIED PROBABILITY | 2014年 / 51卷 / 01期

关键词：

Percolation; Poisson point process; Gibbs measure; grand canonical Gibbs distribution; statistical mechanics; hard sphere; hard disk; excluded volume; gas/liquid transition; phase transition; STATISTICAL MECHANICS; PHASE-TRANSITION; PARTICLES; SYSTEMS; PROOF;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Random arrangements of points in the plane, interacting only through a simple hard-core exclusion, are considered. An intensity parameter controls the average density of arrangements, in analogy with the Poisson point process. It is proved that, at high intensity, an infinite connected cluster of excluded volume appears almost surely.

引用

页码：235 / 246

页数：12

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