Elastic constants for the inhomogeneous amorphous states of the hard sphere system

Abstract

We study the high frequency elastic constants for the metastable amorphous states of the hard sphere liquid. The disordered states are identified using the classical density functional theory(DFT) model modified to consider the highly inhomogeneous states. We observe a cross in the behavior of the DFT elastic constants for the two qualitatively different types of amorphous states signifying different degrees of mass localization in the system. We also obtain the high-frequency elastic constants for the homogeneous state using the well-known Mountain-Zwangig formula.