KINETIC-EQUATION IN THE PERCOLATION THEORY

被引：6

作者：

ABRIKOSOV, AA

机构：

[1] Landau Institute for Theoretical Physics, Moscow 11 7334, 2, Vorobievskoye shosse

来源：

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS | 1979年 / 12卷 / 17期

关键词：

D O I：

10.1088/0022-3719/12/17/015

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

An equation is derived for the cluster-size distribution function close to the percolation threshold. Its behaviour is studied in the close vicinity of the threshold and in the asymptotic regions on both sides. Exactly soluble models are considered: the Bethe lattice in the 'spin-glass' limit and a one-dimensional problem of 'spheres'. It is demonstrated that the distribution functions for these problems satisfy equations similar to the one derived in the present article.

引用

页码：3419 / 3432

页数：14

共 22 条

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ABRIKOSOV, AA
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SOUILLARD, B
[J]. JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) : 77 - 106
[8] SCALING FORM FOR PERCOLATION CLUSTER SIZES AND PERIMETERS
LEATH, PL
REICH, GR
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1978, 11 (19): : 4017 - 4036
[9] CLUSTER SIZE AND BOUNDARY DISTRIBUTION NEAR PERCOLATION THRESHOLD
LEATH, PL
[J]. PHYSICAL REVIEW B, 1976, 14 (11) : 5046 - 5055
[10] CLUSTER SHAPE AND CRITICAL EXPONENTS NEAR PERCOLATION THRESHOLD
LEATH, PL
[J]. PHYSICAL REVIEW LETTERS, 1976, 36 (16) : 921 - 924

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