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Statut |
Confirmé |
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Série |
TRI-SEMINAIRE |
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Domaines |
cond-mat |
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Date |
Lundi 6 Octobre 2014 |
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Heure |
14:30 |
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Institut |
IPHT |
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Salle |
Salle Claude Itzykson, Bât. 774, Orme des Merisiers |
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Nom de l'orateur |
Francesco Zamponi |
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Prenom de l'orateur |
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Addresse email de l'orateur |
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Institution de l'orateur |
Laboratoire de Physique Théorique, École Normale Supérieure Paris |
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Titre |
Exact computation of the critical exponents of the jamming transition |
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Résumé |
The jamming transition marks the emergence of rigidity in a system of amorphous and athermal grains. It is characterized by a divergent correlation length of the force-force correlation and non-trivial critical exponents that are independent of spatial dimension, suggesting that a mean field theory can correctly predict their values. I will discuss a mean field approach to the problem based on the exact solution of the hard sphere model in infinite dimension. An unexpected analogy with the Sherrington-Kirkpatrick spin glass model emerges in the solution: as in the SK model, the glassy states turn out to be marginally stable, and are described by a Parisi equation. Marginal stability has a deep impact on the critical properties of the jamming transition and allows one to obtain analytic predictions for the critical exponents. The predictions are consistent with a recently developed scaling theory of the jamming transition, and with numerical simulations. Finally, I will briefly discuss some possible extensions of this approach to other open issues in the theory of glasses. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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