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.
On the solution of a 'solvable' model of an ideal glass of hard spheres displaying a jamming transition / Mezard, Marc; Parisi, Giorgio; Tarzia, Marco; Zamponi, Francesco. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2011:3(2011), p. P03002. [10.1088/1742-5468/2011/03/p03002]
On the solution of a 'solvable' model of an ideal glass of hard spheres displaying a jamming transition
PARISI, Giorgio;Francesco Zamponi
2011
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
