Cole-Davidson dielectric relaxation as a self-similar relaxation process

被引:101
作者
Nigmatullin, RR
Ryabov, YE
机构
[1] Kazan' State University
关键词
Spectroscopy; State Physics; Relaxation Process; Dielectric Relaxation; Fractional Integration;
D O I
10.1134/1.1129804
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
An effort has been undertaken to understand the nature of one type of non-exponential relaxation, namely Cole-Davidson relaxation. Toward this end, a model of relaxation as a self-similar process is proposed. An equation containing operators of fractional integration and differentiation is obtained and solved, which the relaxation function obeys in this case. (C) 1997 American Institute of Physics.
引用
收藏
页码:87 / 90
页数:4
相关论文
共 13 条
[1]  
[Anonymous], 1992, TEORETICHESKAYA MATE, DOI [DOI 10.1007/BF01036529, 10.1007/BF01036529]
[2]  
[Anonymous], 1988, FRACTALS
[3]  
Frohlich H., 1958, THEORY DIELECTRICS
[4]  
GUBKIN AN, 1979, IZV VUZ FIZ, V1, P56
[5]  
Jonscher A. K., 1983, Dielectric Relaxation in Solids
[6]   A NEW UNDERSTANDING OF THE DIELECTRIC-RELAXATION OF SOLIDS [J].
JONSCHER, AK .
JOURNAL OF MATERIALS SCIENCE, 1981, 16 (08) :2037-2060
[7]  
Keith Oldham., 1974, FRACTIONAL CALCULUS
[8]  
Lavrent'ev M. A., 1965, Methods of the Theory of Functions of a Complex Variable
[9]  
Miller KS., 1993, INTRO FRACTIONAL INT
[10]  
Nigmattulin R. R., 1994, 27 AMP C KAZ, P251