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.
Analytic computation of the instantaneous normal modes spectrum in low-density liquids / Cavagna, Andrea; Giardina, irene rosana; Parisi, Giorgio. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 83:1(1999), pp. 108-111. [10.1103/PhysRevLett.83.108]
Analytic computation of the instantaneous normal modes spectrum in low-density liquids
GIARDINA, irene rosana;Parisi, Giorgio
1999
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.File allegati a questo prodotto
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