A HIERARCHICAL MODEL FOR RANDOM-WALKS IN RANDOM-MEDIA

被引：1

作者：

PAIVA, C ^{[1
]}

PEREZ, JF ^{[1
]}

机构：

[1] UNIV SAO PAULO,INST FIS,BR-01498-970 SAO PAULO,BRAZIL

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 71卷 / 3-4期

关键词：

RANDOM WALKS; RANDOM MEDIA; HIERARCHICAL MODEL;

D O I：

10.1007/BF01058431

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the random walk generated by a hierarchical Laplacian in Z(d) has standard diffusive behavior. Moreover, we show that this behavior is stable under a class of random perturbations that resemble an off-diagonal disordered lattice Laplacian. The density of states and its asymptotic behavior around zero energy are computed: singularities appear in one and two dimensions.

引用

页码：435 / 452

页数：18

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