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The dynamical structure factor in disordered systems

V. Martín-Mayor·G. Parisi·P. Verrocchio
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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. Both in the context of single-link coherent potential approximation and of a single-defect approximation, two different regimes are clearly identified: if the density of states at zero energy is zero, the Rayleigh $p^4$ law is recovered for small momentum. On the contrary, if the disorder induces a non vanishing density of states at zero energy, a linear behaviour is obtained. The dynamical structure factor is numerically calculated in lattices as large as $96^3$, and satisfactorily agrees with the analytical computations.

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V. Martín-Mayor, G. Parisi, P. Verrocchio. 1999-11-29. The dynamical structure factor in disordered systems. https://doi.org/10.1103/physreve.62.2373

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