On the solution of a ‘solvable’ model of an ideal glass of hard spheres displaying a jamming transition

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.

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