Perspectives on the mode-coupling approximation for the dynamics of interacting Brownian particles

Basu, Abhik and Ramaswamy, Sriram (2007) Perspectives on the mode-coupling approximation for the dynamics of interacting Brownian particles. In: Journal of Statistical Mechanics: Theory and Experiment, 11 . P11003-1-P11003-20.

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Abstract

We analyse the field theory for the dissipative dynamics of interacting inertialess particles, using a dynamic density-wave model (Bagchi 1987 Physica A 145 273), including thermal fluctuations (Dean 1996 J. Phys. A: Math. Gen. 29 L619; Fuchizaki and Kawasaki 1999 Physica A 266 400). The symmetries of the problem lead to Ward identities relating vertex functions of different orders. We show that in this theory self-consistent one-loop expansions must involve three-point functions in addition to two-point functions. We obtain correlation and response functions in a one-loop self-consistent approximation similar to, but distinct from, standard mode-coupling theories, and discuss the role of vertex renormalizations. We present a resolution of the conflict between the one-loop approximation and the fluctuation-dissipation theorem, compare our results with those of other approaches, and obtain a modified equation for the non-ergodicity parameter for this model.

Item Type:	Journal Article
Publication:	Journal of Statistical Mechanics: Theory and Experiment
Publisher:	Institute of Physics
Additional Information:	Copyright of this article belongs to Institute of Physics.
Keywords:	mode coupling theory;structural glasses (theory);supercooled liquids;glasses and gels.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	25 Aug 2008
Last Modified:	19 Sep 2010 04:49
URI:	http://eprints.iisc.ac.in/id/eprint/15674

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