Soft modes in jammed hard spheres (I): Mean field theory of the isostatic transition

Abstract

In this paper we consider different models for soft modes in jammed hard spheres. We show how one can construct mean field models that can be solved analytically. The analytic solution of these models displays an excess of low energy soft modes that become more and more localized by decreasing the energy. A simple solution of these models is found in the infinite dimensional limit.

10 pages, 5 figures

References in corpus (1)

• Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution

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