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Dynamical structure factor in disordered systems

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Martín Mayor, Víctor and Parisi, G. and Verrocchio, P. (2000) Dynamical structure factor in disordered systems. Physical Review E, 62 (2-B). pp. 2373-2379. ISSN 1063-651X

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Official URL: http://dx.doi.org/10.1103/PhysRevE.62.2373


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Abstract

We study the spectral width as a function of the external momentum for the dynamical structure factor of a disordered harmonic solid, considered as a toy model for supercooled liquids and glasses. In the contexts of both the single-link coherent potential approximation and a single-defect approximation, two different regimes are clearly identified: if the density of states at zero energy is zero, the usual p^(4) law is recovered for small momentum. On the contrary, if the disorder induces a nonvanishing density of states at zero energy, a linear behavior is obtained. The dynamical structure factor is numerically calculated in lattices as large as 96^(3) and satisfactorily agrees with the analytical computations.


Item Type:Article
Additional Information:

© 2000 The American Physical Society. We gratefully acknowledge interesting discussions with A. González, M. Mézard, G. Ruocco, and G. Viliani. V.M.M. has been partially supported by CYCyT (Grant Nos. AEN97-1708 and AEN99-1693). Our numerical computations were carried out on the Kalix2 pentium cluster of the University of Cagliari.

Uncontrolled Keywords:Frequency propagating modes; Instantaneous normal-modes; Spectral moments method; Vitreous silica; Medium approximation; LIquids; Scattering; Glass; Localization; Phonons.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:46810
Deposited On:19 Apr 2018 11:44
Last Modified:19 Apr 2018 11:44

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