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Analytical representations for relaxation functions of glasses

R. Hilfer
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Abstract

Analytical representations in the time and frequency domains are derived for the most frequently used phenomenological fit functions for non-Debye relaxation processes. In the time domain the relaxation functions corresponding to the complex frequency dependent Cole-Cole, Cole-Davidson and Havriliak-Negami susceptibilities are also represented in terms of $H$-functions. In the frequency domain the complex frequency dependent susceptibility function corresponding to the time dependent stretched exponential relaxation function is given in terms of $H$-functions. The new representations are useful for fitting to experiment.

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R. Hilfer. 2002-12-28. Analytical representations for relaxation functions of glasses. https://doi.org/10.1016/s0022-3093(02)01088-8

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