STRETCHED-EXPONENTIAL RELAXATION AT A SELF-SIMILAR SURFACE

被引：28

作者：

HALSEY, TC ^{[1
]}

LEIBIG, M ^{[1
]}

机构：

[1] UNIV CHICAGO, DEPT PHYS, CHICAGO, IL 60637 USA

来源：

PHYSICAL REVIEW A | 1991年 / 43卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.43.7087

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The double-layer impedance at a rough electrode can be related to properties of random walks near the surface of that electrode. We apply this method to the calculation of the double-layer impedance at a self-similar electrode in two dimensions. We find that the impedance at a self-similar surface shows stretched-exponential behavior. At high frequencies, this behavior is similar to the experimentally observed constant phase-angle behavior, with an exponent determined by the multifractal properties of the surface.

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页码：7087 / 7090

页数：4

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