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

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

2010-11-23

arxiv.org/abs/1011.5080v2

J. Stat. Mech. (2011) P03002

Physics

Condensed Matter

Disordered Systems and Neural Networks

31 pages, 8 figures

Scientific paper

10.1088/1742-5468/2011/03/P03002

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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