The dynamical structure factor in topologically disordered systems

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.

Version to be published in J. Chem. Phys

References in corpus (6)

• The evolution of vibrational excitations in glassy systems
• Diffusion, localization and dispersion relations on ``small-world'' lattices
• Spectra of Euclidean Random Matrices
• The thermodynamical liquid-glass transition in a Lennard-Jones binary mixture
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• Mean-field model for the density of states of jammed soft spheres
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• Brillouin and Boson peaks in Glasses from vector Euclidean Random Matrix Theory
• The Spectral Backbone of Excitation Transport in Ultra-Cold Rydberg Gases
• Vector vibrations and the Ioffe-Regel crossover in disordered lattices
• On the high-density expansion for Euclidean Random Matrices
• Nature of vibrational eigenmodes in topologically disordered solids
• Vibrational phenomena in glasses at low temperatures captured by field theory of disordered harmonic oscillators
• Vibrational behaviour of a realistic amorphous-silicon model
• Euclidean random matrix theory: low-frequency non-analyticities and Rayleigh scattering
• Role of Multiple Scattering in Single Particle Perturbations in Absorbing Random Media
• Properties of stable ensembles of Euclidean random matrices
• A self-consistent current response theory of jamming and vibrational modes in low-temperature amorphous solids
• Stiff-Glass Approximation of Mode-Coupling Theory
• Sound Attenuation in Glasses
• On the origin of the Boson peak in globular proteins