Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond
Abstract
We extend a previously proposed field-theoretic self-consistent perturbation approach for the equilibrium dynamics of the Dean-Kawasaki equation presented in [J. Stat. Mech. 2008 P02004]. By taking terms missing in the latter analysis into account we arrive at a set of three new equations for correlation functions of the system. These correlations involve the density and its logarithm as local observables. Our new one-loop equations, which must carefully deal with the noninteracting Brownian gas theory, are more general than the historic Mode-Coupling one in that a further and well-defined approximation leads back to the original mode-coupling equation for the density correlations alone. However, without performing any further approximation step, our set of three equations does not feature any ergodic-non ergodic transition, as opposed to the historical mode- coupling approach.
Keywords
Cite
@article{arxiv.1307.1359,
title = {Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond},
author = {Bongsoo Kim and Kyozi Kawasaki and Hugo Jacquin and Frédéric van Wijland},
journal= {arXiv preprint arXiv:1307.1359},
year = {2014}
}
Comments
Corrects and extends arXiv:0712.1096