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A FDR-Preserving Field Theory for Interacting Brownian Particles: One-Loop Theory and MCT

Bongsoo Kim, Kyozi Kawasaki, Michio Tokuyama, Irwin Oppenheim, Hideya Nishiyama
2008 AIP Conference Proceedings  

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2007 pre-print arXiv:0712.1096v1 fatcat:2tjnsdr2yvg3joerpaffy42opu
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
more » ... der calculation for interacting Brownian particle systems.
doi:10.1063/1.2897790 fatcat:angbjmy2wbh6tpyzxfcm757yde
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Bongsoo Kim, Kyozi Kawasaki, Michio Tokuyama, Irwin Oppenheim, Hideya Nishiyama. "A FDR-Preserving Field Theory for Interacting Brownian Particles: One-Loop Theory and MCT." AIP Conference Proceedings (2008)