PARTIAL AND RANDOM LATTICE COVERING TIMES IN 2 DIMENSIONS

被引：23

作者：

COUTINHO, KR

COUTINHO, MD

GOMES, MAF

NEMIROVSKY, AM

机构：

[1] Departamento de Física, Universidade Federal de Pernambuco

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.72.3745

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The problems of the partial covering time (PCT) and of the random covering time (RCT) are studied in two dimensions using Monte Carlo simulations. We find that the PCT (RCT) presents a discontinuous transition at f = 1 (f = 0), where f is the fraction of visited sites by a random walker. An analysis of the time evolution of the surviving unvisited clusters reveals that they exhibit a time-dependent fractal-like structure.

引用

页码：3745 / 3749

页数：5

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