Martín Mayor, VíctorMézard, MarcParisi, GiorgioVerrocchio, Paolo2023-06-202023-06-202001-05-080021-960610.1063/1.1349709https://hdl.handle.net/20.500.14352/60325© 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.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.engjournal articlehttp://dx.doi.org/10.1063/1.1349709https://aip.scitation.orgopen access53Frequency propagating modesInstantaneous normal-modesSpectral moments methodGlass-forming liquidsJones binary mixtureVitreous silicaVibrational excitationsLocalizationScatteringTransition.Física-Modelos matemáticos