Field theoretic formulation of a mode-coupling equation for colloids

Details Field theoretic formulation of a mode-coupling equation for colloids Field theoretic formulation of a mode-coupling equation for colloids

2011-03-27

arxiv.org/abs/1103.5242v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 G\"otze 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.

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