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.

31 pages, 8 figures

References in corpus (3)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Jamming versus Glass Transitions
• A Landscape Analysis of Constraint Satisfaction Problems

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