Analytic Computation of the Instantaneous Normal Modes Spectrum in Low-Density Liquids
Analytic Computation of the Instantaneous Normal Modes Spectrum in Low-Density Liquids
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 …