Analytic computation of the Instantaneous Normal Modes spectrum in low density liquids
arXiv:cond-mat/9903155 · doi:10.1103/PhysRevLett.83.108
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.
4 RevTeX pages, 4 EPS figures. Revised version to appear on Phys. Rev. Lett