On the solution of a “solvable” model of an ideal Glass of hard spheres displaying a jamming transition. (English) Zbl 1456.82374
Summary: 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.
MSC:
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
| 82B05 | Classical equilibrium statistical mechanics (general) |
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