On the solution of a `solvable' model of an ideal glass of hard spheres displaying a jamming transition
arXiv:1011.5080 · doi:10.1088/1742-5468/2011/03/P03002
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