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

Bongsoo Kim; Kyozi Kawasaki

doi:10.1063/1.2897790

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arXiv · 0712.1096

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

Bongsoo Kim·Kyozi Kawasaki

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Abstract

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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Bongsoo Kim, Kyozi Kawasaki. 2007-12-07. A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT. https://doi.org/10.1063/1.2897790

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