Invasion percolation and Eden growth: Geometry and universality

被引：87

作者：

Cieplak, M

Maritan, A

Banavar, JR

机构：

[1] SCH ADV INT STUDIES,INST NAZL FIS MAT,I-34014 GRIGNANO,TRIESTE,ITALY

[2] IST NAZL FIS NUCL,TRIESTE,ITALY

[3] PENN STATE UNIV,DEPT PHYS,UNIVERSITY PK,PA 16802

[4] PENN STATE UNIV,CTR PHYS MAT,UNIVERSITY PK,PA 16802

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 20期

关键词：

D O I：

10.1103/PhysRevLett.76.3754

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The mapping of optimal paths in the strong disorder limit to the strands of invasion percolation clusters is shown to lead to a new universal property of these clusters. We suggest that the corresponding strands arising in the annealed Eden growth process are in the same universality class as directed polymers in weak quenched disorder with an upper critical dimension less than or equal to 6.

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页码：3754 / 3757

页数：4

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