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The Williams-Watts dependence as a common phenomenological approach to relaxation processes in condensed matter

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Abstract

The Williams-Watts (WW) relaxation function has been widely used to describe the relaxation behaviour of many systems. In the present work the range of applicability of the WW response was extensively tested by the analysis of experiments in both the time and the frequency domains. On the other hand, the analysed experiments covered a wide time-scale for the characteristic relaxation times. Some related topics were also considered, i.e. our procedures in obtaining the associated activation energy spectra or the distribution of relaxation times. The relationship between time-domain and frequency-domain relaxation responses was also analysed. In light of our results the universality of the WW response, appears to be good at least for the time-scales and the different probes covered by our experiments.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Extremadura, Badajoz, Spain

    F. L. Cumbrera, F. Sanchez-Bajo, F. Guiberteau & J. D. Solier

  2. Department of Physics of Condensed Materials, Faculty of Science, University of Seville, Seville, Spain

    A. Muñoz

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  1. F. L. Cumbrera
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  2. F. Sanchez-Bajo
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  3. F. Guiberteau
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  4. J. D. Solier
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  5. A. Muñoz
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Cumbrera, F.L., Sanchez-Bajo, F., Guiberteau, F. et al. The Williams-Watts dependence as a common phenomenological approach to relaxation processes in condensed matter. J Mater Sci 28, 5387–5396 (1993). https://doi.org/10.1007/BF00570095

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