Analytic computation of the Instantaneous Normal Modes spectrum in low density liquids
Statistical Mechanics
2009-10-31 v2 Disordered Systems and Neural Networks
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
Cite
@article{arxiv.cond-mat/9903155,
title = {Analytic computation of the Instantaneous Normal Modes spectrum in low density liquids},
author = {Andrea Cavagna and Irene Giardina and Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/9903155},
year = {2009}
}
Comments
4 RevTeX pages, 4 EPS figures. Revised version to appear on Phys. Rev. Lett