Directed percolation and generalized friendly random walkers

被引：9

作者：

Cardy, J

Colaiori, F

机构：

[1] Univ Oxford, Dept Phys Theoret Phys, Oxford OX1 3NP, England

[2] Univ Oxford All Souls Coll, Oxford OX1 4AL, England

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.82.2232

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of m directed random walkers with rather general attractive interactions, when suitably continued to m = 0. In 1 + 1 dimensions, this is dual to a model of interacting steps on a vicinal surface. A similar correspondence with interacting self-avoiding walks is constructed for isotropic percolation.

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页码：2232 / 2235

页数：4

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