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Francesco Zamponi : Jamming and hard sphere glasses



I will review a theory of amorphous packings of hard spheres based on the assumption that these packings are the infinite pressure limit of long-lived metastable glassy states. Technically, the theory makes use of the replica method and of standard liquid theory; it gives predictions on both the structure and the thermodynamics of amorphous states. In dimensions between two and six these predictions can be successfully compared with numerical simulations. I will finally discuss the limit of large dimension, that is relevant for information theory problems, where an exact solution is possible. Ref: G.Parisi and F.Zamponi, J.Chem.Phys. 123, 144504 (2005); arXiv:0802.2180 (to appear on Rev.Mod.Phys.)

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