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Anomalous diffusion and anomalous sound propagation in amorphous solids

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Festkörperprobleme 31

Part of the book series: Advances in Solid State Physics ((ASSP,volume 31))

Abstract

The equation of motion for the random walk of single particles in an amorphous matrix and the vibrational equation of motion in amorphous solids can be mathematically mapped onto each other by replacing the first time derivative by the second one. Comparing experimental data with results of the effective medium theory we show that disorder leads to anomalous diffusion which extends into the millisecond regime if the temperature is low enough. In the analogous vibrational problem this corresponds to the occurrence of anomalous sound propagation, which leads to anomalies in the phonon density of states and an anomalous temperature dependence of the specific heat capacity.

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Authors and Affiliations

  1. Physik-Department E13, Technische Universität München, D-8046, Garching, Federal Republic of Germany

    Walter Schirmacher & Michael Wagener

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  1. Walter Schirmacher
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  2. Michael Wagener
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Ulrich Rössler

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Schirmacher, W., Wagener, M. (1991). Anomalous diffusion and anomalous sound propagation in amorphous solids. In: Rössler, U. (eds) Festkörperprobleme 31. Advances in Solid State Physics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107858

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  • DOI: https://doi.org/10.1007/BFb0107858

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