A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT
Disordered Systems and Neural Networks
2009-11-13 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.0712.1096,
title = {A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT},
author = {Bongsoo Kim and Kyozi Kawasaki},
journal= {arXiv preprint arXiv:0712.1096},
year = {2009}
}
Comments
66 pages, 8 figures, submitted to J. Stat. Mech