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The dynamical structure factor in topologically disordered systems

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Martín Mayor, Víctor and Mézard, Marc and Parisi, Giorgio and Verrocchio, Paolo (2001) The dynamical structure factor in topologically disordered systems. Journal of chemical physics, 114 (18). pp. 8068-8081. ISSN 0021-9606

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Official URL: http://dx.doi.org/10.1063/1.1349709


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Abstract

A computation of the dynamical structure factor of topologically disordered systems, where the disorder can be described in terms of Euclidean random matrices, is presented. Among others, structural glasses and supercooled liquids belong to that class of systems. The computation describes their relevant spectral features in the region of the high frequency sound. The analytical results are tested with numerical simulations and are found to be in very good agreement with them. Our results may explain the findings of inelastic x-ray scattering experiments in various glassy systems.


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© 2001 American Institute of Physics. We would like to thank G. Biroli, W. Kob, R. Monasson, G. Ruocco, and G. Viliani for valuable discussions and crucial suggestions. This work has been performed in part during the stay of two of us ~M.M. and P.V.! at the Institute for Theoretical Physics of the University of California, Santa Barbara. We thank the Institute for its hospitality and acknowledge the partial support by National Science Foundation under Grant No. PHY94-07194. V.M.-M. is a M.E.C. fellow. P.V. would also like to thank the SPHYNX program, which has supported his stay at the Ecole Normale Superieure in Paris.

Uncontrolled Keywords:Frequency propagating modes; Instantaneous normal-modes; Spectral moments method; Glass-forming liquids; Jones binary mixture; Vitreous silica; Vibrational excitations; Localization; Scattering; Transition.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:46783
Deposited On:22 Mar 2018 09:21
Last Modified:22 Mar 2018 09:21

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