Abstract : We introduce an approach to derive an effective scalar field theory for the glass transition; the fluctuating field is the overlap between equilibrium configurations. We apply it to the case of constrained liquids for which the introduction of a conjugate source to the overlap field was predicted to lead to an equilibrium critical point. We show that the long-distance physics in the vicinity of this critical point is in the same universality class as that of a paradigmatic disordered model: the random-field Ising model. The quenched disorder is provided here by a reference equilibrium liquid configuration. We discuss to what extent this field-theoretical description and the mapping to the random field Ising model hold in the whole supercooled liquid regime, in particular near the glass transition.
https://hal-cea.archives-ouvertes.fr/cea-01188630
Contributor : Emmanuelle de Laborderie
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Submitted on : Monday, August 31, 2015 - 12:04:30 PM
Last modification on : Thursday, March 21, 2019 - 1:08:56 PM
