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Analytic computation of the Instantaneous Normal Modes spectrum in low density liquids

Andrea Cavagna·Irene Giardina·Giorgio Parisi
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Abstract

We analytically compute the spectrum of the Hessian of the Hamiltonian for a system of N particles interacting via a purely repulsive potential in one dimension. Our approach is valid in the low density regime, where we compute the exact spectrum also in the localized sector. We finally perform a numerical analysis of the localization properties of the eigenfunctions.

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Andrea Cavagna, Irene Giardina, Giorgio Parisi. 1999-05-25. Analytic computation of the Instantaneous Normal Modes spectrum in low density liquids. https://doi.org/10.1103/physrevlett.83.108

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