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

Preprint

25 May 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9903155

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.

Keywords

INSTANTANEOUS NORMAL
ANALYTICALLY COMPUTE
NUMERICAL ANALYSIS
LOCALIZED SECTOR
DENSITY LIQUIDS
MODES SPECTRUM
NORMAL MODES
PROPERTIES
SPECTRUM

All Related Versions

Version 1, 1999-03-10, ArXiv
Version 2, 1999-05-25, ArXiv
Published version: Physical Review Letters, 83 (1), 108.

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