Diffusion in disordered media

被引：403
|
作者：
Havlin, S
Ben-Avraham, D
机构：
[1] Department of Physics, Bar-Ilan University, Ramat-Gan
来源：
ADVANCES IN PHYSICS | 2002年 / 51卷 / 01期
关键词：
D O I：
10.1080/00018730110116353
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
Diffusion in disordered systems does not follow the classical laws which describe transport in ordered crystalline media, and this leads to many anomalous physical properties. Since the application of percolation theory, the main advances in the understanding of these processes have come from fractal theory. Scaling theories and numerical simulations are important tools to describe diffusion processes (random walks: the 'ant in the labyrinth') on percolation systems and fractals. Different types of disordered systems exhibiting anomalous diffusion are presented (the incipient infinite percolation cluster, diffusion-limited aggregation clusters, lattice animals, and random combs), and scaling theories as well as numerical simulations of greater sophistication are described. Also, diffusion in the presence of singular distributions of transition rates is discussed and related to anomalous diffusion on disordered structures.
引用
收藏
页码：187 / 292
页数：106
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