A Note for Kohlrausch-Williams-Watts Relaxation Function

被引：26

作者：

Kawasaki, Yohji ^{[1
]}

Watanabe, Hiroshi ^{[1
]}

Uneyama, Takashi ^{[1
]}

机构：

[1] Kyoto Univ, Inst Chem Res, Kyoto 6110011, Japan

来源：

NIHON REOROJI GAKKAISHI | 2011年 / 39卷 / 03期

关键词：

KWW relaxation function; Framework of linear relaxation phenomena; Average relaxation times; EMPIRICAL DECAY FUNCTION; DIELECTRIC-RELAXATION; BEHAVIOUR;

D O I：

10.1678/rheology.39.127

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The Kohlrausch-Williams-Watts (KWW) relaxation function, F-KWW(t) = exp{-(t/tau(KWW))(beta)} with 0 < beta <= 1 has been often utilized to describe relaxation processes in systems governed by cooperativity/coupling of molecules therein. Nevertheless, this function has not been well addressed in the general, phenomenological framework of linear relaxation phenomena, for which the relaxation function is expressed as F(t)= Sigma(p)g(p)exp{-t/tau(p)} with g(p) and tau(p), being the normalized intensity and characteristic time of pth (exponential) relaxation mode. In this study, the KWW function is analyzed to address this function in this general framework and derive analytical expressions of average relaxation times.

引用

页码：127 / 131

页数：5

共 16 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS

[2] RELATIONSHIP BETWEEN THE TIME-DOMAIN KOHLRAUSCH-WILLIAMS-WATTS AND FREQUENCY-DOMAIN HAVRILIAK-NEGAMI RELAXATION FUNCTIONS [J].