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arXiv · 1011.5080

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

Marc Mezard·Giorgio Parisi·Marco Tarzia·Francesco Zamponi
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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.

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Marc Mezard, Giorgio Parisi, Marco Tarzia, Francesco Zamponi. 2011-02-21. On the solution of a `solvable' model of an ideal glass of hard spheres displaying a jamming transition. https://doi.org/10.1088/1742-5468%2F2011%2F03%2Fp03002

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