Elastic constant dishomogeneity and $Q^2$ dependence of the broadening of the dynamical structure factor in disordered systems

Details Elastic constant dishomogeneity and $Q^2$ dependence of the broadening of the dynamical structure factor in disordered systems Elastic constant dishomogeneity and $Q^2$ dependence of the broadening of the dynamical structure factor in disordered systems

1998-09-23

arxiv.org/abs/cond-mat/9809308v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, RevTeX, 5 postscript figures

Scientific paper

10.1103/PhysRevLett.83.3450

We propose an explanation for the quadratic dependence on the momentum $Q$, of the broadening of the acoustic excitation peak recently found in the study of the dynamic structure factor of many real and simulated glasses. We ascribe the observed $Q^2$ law to the spatial fluctuations of the local wavelength of the collective vibrational modes, in turn produced by the dishomegeneity of the inter-particle elastic constants. This explanation is analitically shown to hold for 1-dimensional disordered chains and satisfatorily numerically tested in both 1 and 3 dimensions.

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