RANDOM-WALKS AND THE DOUBLE-LAYER IMPEDANCE

被引:18
作者
HALSEY, TC
LEIBIG, M
机构
[1] UNIV CHICAGO,DEPT PHYS,CHICAGO,IL 60637
[2] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
来源
EUROPHYSICS LETTERS | 1991年 / 14卷 / 08期
关键词
SURFACE DOUBLE LAYERS; SCHOTTKY BARRIERS; AND WORK FUNCTIONS; COMPUTATIONAL TECHNIQUES; ELECTROCHEMISTRY AND ELECTROPHORESIS;
D O I
10.1209/0295-5075/14/8/016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The double-layer impedance between a perfectly polarizable metallic electrode and an electrolyte exhibits anomalous behavior as a function of frequency omega. This behavior is related to the surface roughness of the electrode. We introduce a random walk algorithm for calculating this frequency behavior as a power series in (1-i-omega)-1. In two limits the coefficients appearing in this series can be related directly to properties of the electrode surface. We apply this algorithm to the calculation of the impedance of a two-dimensional slot: the calculated impedance shows the expected omega-1/2 constant-phase angle (CPA) behavior.
引用
收藏
页码:815 / 820
页数:6
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