Analytical representations for relaxation functions of glasses

Details Analytical representations for relaxation functions of glasses Analytical representations for relaxation functions of glasses

2002-12-28

arxiv.org/abs/cond-mat/0212622v1

J.Non-Crystalline Solids, vol. 305 (2002), page 122

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, Latex

Scientific paper

10.1016/S0022-3093(02)01088-8

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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