A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT

Details A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT

2007-12-07

arxiv.org/abs/0712.1096v1

J. Stat. Mech. (2008) P02004

Physics

Condensed Matter

Disordered Systems and Neural Networks

66 pages, 8 figures, submitted to J. Stat. Mech

Scientific paper

10.1063/1.2897790

We develop a field theoretical treatment of a model of interacting Brownian particles. We pay particular attention to the requirement of the time reversal invariance and the fluctuation-dissipation relationship (FDR). The method used is a modified version of the auxiliary field method due originally to Andreanov, Biroli and Lefevre [J. Stat. Mech. P07008 (2006)]. We recover the correct diffusion law when the interaction is dropped as well as the standard mode coupling equation in the one-loop order calculation for interacting Brownian particle systems.

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