PERCOLATION IN BOUNDED GEOMETRIES

被引:2
作者
CHALUPA, J [1 ]
机构
[1] RUTGERS STATE UNIV,SERIN PHYS LAB,PISCATAWAY,NJ 08854
来源
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS | 1979年 / 12卷 / 17期
关键词
D O I
10.1088/0022-3719/12/17/006
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A heuristic scaling procedure is introduced to describe percolation in bounded systems. For an infinite three-dimensional slab of thickness h, the critical concentration pc is calculated by the Migdal-Kadanoff transformation. In a bulk system of dimension d>1 the concentration p(1>p>pc) increases under scaling, but for d=1 and p<1 it decreases. This difference in scaling behaviour underlies the distinctive cross-over effects in wire geometries.
引用
收藏
页码:L665 / L669
页数:5
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