The ideal glass transition of Hard Spheres

Details The ideal glass transition of Hard Spheres The ideal glass transition of Hard Spheres

2005-06-17

arxiv.org/abs/cond-mat/0506445v1

J.Chem.Phys. 123, 144501 (2005)

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 8 figures

Scientific paper

10.1063/1.2041507

We use the replica method to study the ideal glass transition of a liquid of identical Hard Spheres. We obtain estimates of the configurational entropy in the liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62, and of the random close packing density, in the range 0.64--0.67, depending on the approximation we use for the equation of state of the liquid. We also compute the pair correlation function in the glassy states (i.e., dense amorphous packings) and we find that the mean coordination number at random close packing is equal to 6. All these results compare well with numerical simulations and with other existing theories.

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