Abstract
We develop a field theoretical treatment of a model of interacting Brownian particles. Wepay particular attention to the requirement of time reversal invariance and thefluctuation-dissipation relationship (FDR). The method used is a modified version of theauxiliary field method due originally to Andreanov, Biroli and Lefevre (2006 J. Stat. Mech.P07008). We recover the correct diffusion law when the interaction is dropped as well asthe standard mode coupling equation in the one-loop order calculation for interactingBrownian particle systems. It is noteworthy that despite our starting dynamical modelcontaining the bare inter-particle interaction potential, it cancels out and the directcorrelation function emerges in the end result due to our use of the correct staticinput.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.