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Models for dynamics of relaxation in glasses

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Molecular Dynamics and Relaxation Phenomena in Glasses

Part of the book series: Lecture Notes in Physics ((LNP,volume 277))

Abstract

Wide classes of disordered materials display relaxations which cannot be expressed in ] terms of a single decay rate. The analysis of experimental data often leads to the Kohlrausch-Williams-Watts stretched exponential exp[-(t/τ)β] or to algebraic time dependences C/tY .In this article, we show how such decay patterns may arise from quite different microscopic dynamics. Possible candidates for modelling disorder are (a) self-similar spatial distributions of sites (fractal geometries), (b) distributions of waiting times and (c) self-similar distributions of energy barriers (ultrametric spaces). For each of these models one may obtain under certain conditions stretched exponential or algebraic decays, although the microscopic relaxation dynamics differ in every case.

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Authors and Affiliations

  1. Max-Planck Institut für Polymerforschung, D-6500, Mainz

    A. Blumen

  2. Physikalisches Institut der Universität, D-8580, Bayreuth, Germany

    A. Blumen

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  1. A. Blumen
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Thomas Dorfmüller Graham Williams

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© 1987 Springer-Verlag

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Blumen, A. (1987). Models for dynamics of relaxation in glasses. In: Dorfmüller, T., Williams, G. (eds) Molecular Dynamics and Relaxation Phenomena in Glasses. Lecture Notes in Physics, vol 277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17801-5_1

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  • DOI: https://doi.org/10.1007/3-540-17801-5_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17801-9

  • Online ISBN: 978-3-540-47838-6

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