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

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

1999-03-10

arxiv.org/abs/cond-mat/9903155v2

Phys. Rev. Lett. 83 (1999) 108

Physics

Condensed Matter

Statistical Mechanics

4 RevTeX pages, 4 EPS figures. Revised version to appear on Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.83.108

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.

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