SUPERLOCALIZATION, CORRELATIONS AND RANDOM-WALKS ON FRACTALS

被引：39

作者：

AHARONY, A

HARRIS, AB

机构：

[1] UNIV OSLO,DEPT PHYS,N-0316 OSLO 3,NORWAY

[2] UNIV PENN,DEPT PHYS,PHILADELPHIA,PA 19104

来源：

PHYSICA A | 1990年 / 163卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0378-4371(90)90313-H

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Upper and lower bounds are found for the anomalous decay exponent a of localized wave functions and of various two-point correlation functions on typical fractal configurations. The decay of the "superlocalized" wave functions is used to evaluate the decay of the probability distribution of a random walk, which is then used to obtain a Flory-like expression for self-avoiding walks. Emphasis is placed on the differences between "typical" and average quantities. © 1990.

引用

页码：38 / 46

页数：9

共 30 条

[1]

Aharony A., 1986, Directions in condensed matter physics. Memorial volume in honor of Sheng-keng Ma, P1

[2] FLORY APPROXIMANT FOR SELF-AVOIDING WALKS ON FRACTALS [J].