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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 599-603
On the probability distributions of relaxation times in glasses
H. Keiter (a), M. Rosenberg
Institut für Physik, Universität Dortmund, 44221 Dortmund, Germany
Received: 2 February 1998 / Accepted: 17 March 1998
Abstract: The scale of relaxation times in glasses has led to generalizations of the Drude model of the dielectric function in terms of an integral, containing a Drude kernel and a probability distribution. This integral equation is solved by a Mellin or a Stieltjes transform. Beyond known results, we obtain the probability distribution of the Havriliak-Negami dielectric function. Even more general classes of dielectric models can be dealt with, using Mellin's transform. They may serve as checks for numerical procedures applied to the underlying ill-posed problem, if experimental data for the dielectric function are used.
PACS. 02.30.Rz Integral equations - 77.22.Ch Permittivity (dielectric function) - 81.05.Kf Glasses (including metallic glasses)
(a) email: keiter@fkt.physik.uni-dortmund.de
Article in PDF format (338 KB)
Online publication: October 26, 1998
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