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
收藏
页码：435 / 452
页数：18
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