Field theoretic formulation of a mode-coupling equation for colloids

Abstract

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.

References in corpus (3)

• Dynamic first-order phase transition in kinetically constrained models of glasses
• Compressing nearly hard sphere fluids increases glass fragility
• Increasing the density melts ultrasoft colloidal glasses

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