CLUSTER SIZE AND SHAPE IN RANDOM AND CORRELATED PERCOLATION

被引：22

作者：

CONIGLIO, A

RUSSO, L

机构：

[1] UNIV NAPLES,IST FIS TEORICA,I-80134 NAPLES,ITALY

[2] UNIV MODENA,IST MATEMAT,CNR,NAZL FIS MATEMAT GRP,I-41100 MODENA,ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 04期

关键词：

D O I：

10.1088/0305-4470/12/4/014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A rigorous inequality between the pair correlation function and connectivity functions is proved for the Ising model (correlated percolation). This relation shows that large correlations imply large connectivity. Such inequality becomes equality in the random percolation problem (infinite temperature). Other relations among susceptibility cluster size and perimeter are also derived which give information on the shape of the cluster for the random and correlated percolation problems.

引用

页码：545 / 550

页数：6

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