LEVY FLIGHTS IN RANDOM-ENVIRONMENTS

被引：178
|
作者：
FOGEDBY, HC
机构：
[1] Institute of Physics and Astronomy, University of Aarhus
来源：
PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 19期
关键词：
D O I：
10.1103/PhysRevLett.73.2517
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider Levy flights characterized by the step index fin a quenched isotropic short-range random force field to one loop order. By means of a dynamic renormalization group analysis, we find that the dynamic exponent z for f < 2 locks onto f, independent of dimension and independent of the presence of weak quenched disorder. The critical dimension for f < 2 is given by d(c) = 2f - 2. For d < d(c) the disorder is relevant, corresponding to a nontrivial fixed point for the force correlation function. We also discuss the behavior of the subleading diffusive term.
引用
收藏
页码：2517 / 2520
页数：4
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