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Instabilities of Jammed Packings of Frictionless Spheres Under Load
2017-12-19
Phys. Rev. Lett. 119(21):215502 Nov 2017

Xu, Ning; Liu, Andrea J.; Nagel, Sidney R.

Abstract:
We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a normal mode and the height of the energy barrier to cross into a new ground state both vanish. These instabilities produce a contribution to the density of vibrational states that scales as ω3 at low frequencies ω, and a contribution to the distribution of energy barriers ΔH that scales as ΔH1/3 at low barrier heights.

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