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.
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Received: 2 February 1998 / Accepted: 17 March 1998
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Keiter, H., Rosenberg, M. On the probability distributions of relaxation times in glasses. Eur. Phys. J. B 5, 599–603 (1998). https://doi.org/10.1007/s100510050484
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DOI: https://doi.org/10.1007/s100510050484