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TZID:Europe/Paris
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UID:1-292@lptms.universite-paris-saclay.fr
DTSTART:20141006T143000Z
DTEND:20141006T153000Z
DTSTAMP:20140922T101912Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/tri-semianire-de-
physique-statistique-francesco-zamponi/
SUMMARY:Tri-sÃ©minaire de Physique Statistique : Francesco Zamponi - IPhT\,
CEA-Saclay\, salle Itzykson - 6 Oct 14 14:30
DESCRIPTION:Exact computation of the critical exponents of the jamming tran
sition\nFrancesco Zamponi\, LPTENS\nThe jamming transition marks the emerg
ence of rigidity in a system of amorphous and athermal grains. It is chara
cterized by a divergent correlation length of the force-force correlation
and non-trivial critical exponents that are independent of spatial dimensi
on\, suggesting that a mean field theory can correctly predict their value
s. 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 ana
logy with the Sherrington-Kirkpatrick spin glass model emerges in the solu
tion: as in the SK model\, the glassy states turn out to be marginally sta
ble\, and are described by a Parisi equation. Marginal stability has a dee
p impact on the critical properties of the jamming transition and allows o
ne to obtain analytic predictions for the critical exponents. The predicti
ons are consistent with a recently developed scaling theory of the jamming
transition\, and with numerical simulations. Finally\, I will briefly dis
cuss some possible extensions of this approach to other open issues in the
theory of glasses.
LOCATION:IPhT\, CEA-Saclay\, salle Itzykson\, CEA - Saclay\, Saclay\, Franc
e
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