On the solution of a `solvable' model of an ideal glass of hard spheres displaying a jamming transition

Abstract

We discuss the analytical solution through the cavity method of a mean field model that displays at the same time an ideal glass transition and a set of jamming points. We establish the equations describing this system, and we discuss some approximate analytical solutions and a numerical strategy to solve them exactly. We compare these methods and we get insight into the reliability of the theory for the description of finite dimensional hard spheres.

arXiv comment31 pages, 8 figures

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• Optimization of the dynamic transition in the continuous coloring problem
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