Field theoretic formulation of a mode-coupling equation for colloids - Université Paris Cité Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2011

Field theoretic formulation of a mode-coupling equation for colloids

Hugo Jacquin
  • Fonction : Auteur
  • PersonId : 897211
Frédéric van Wijland

Résumé

The only available quantitative description of the slowing down of the dynamics upon approaching the glass transition has been, so far, the mode-coupling theory, developed in the 80's by Götze and collaborators. The standard derivation of this theory does not result from a systematic expansion. We present a field theoretic formulation that arrives at very similar mode-coupling equation but which is based on a variational principle and on a controlled expansion in a small dimensioneless parameter. Our approach applies to such physical systems as colloids interacting via a mildly repulsive potential. It can in principle, with moderate efforts, be extended to higher orders and to multipoint correlation functions.
Fichier principal
Vignette du fichier
MCT_PRL.pdf (112.96 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00580190 , version 1 (27-03-2011)
hal-00580190 , version 2 (08-06-2012)

Identifiants

Citer

Hugo Jacquin, Frédéric van Wijland. Field theoretic formulation of a mode-coupling equation for colloids. Physical Review Letters, 2011, 106 (21), pp.210602. ⟨10.1103/PhysRevLett.106.210602⟩. ⟨hal-00580190v2⟩
78 Consultations
143 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More