Nihon Reoroji Gakkaishi
Online ISSN : 2186-4586
Print ISSN : 0387-1533
NOTE
A Note for Kohlrausch-Williams-Watts Relaxation Function
Yohji KawasakiHiroshi WatanabeTakashi Uneyama
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JOURNALS FREE ACCESS

2011 Volume 39 Issue 3 Pages 127-131

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Abstract

The Kohlrausch-Williams-Watts (KWW) relaxation function, FKWW(t) = exp{-(t/τKWW)β} with 0 < β ≤ 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) = Σp gpexp{-t/τp} with gp and τp 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.

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© 2011 The Society of Rheology, Japan
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