Divergent four-point dynamic density correlation function of a glassy colloidal suspension: a diagrammatic approach
Abstract
We use a recently derived diagrammatic formulation of the dynamics of interacting Brownian particles [G. Szamel, J. Chem. Phys. 127, 084515 (2007)] to study a four-point dynamic density correlation function. We re-sum a class of diagrams which separate into two disconnected components upon cutting a single propagator. The resulting formula for the four-point correlation function can be expressed in terms of three-point functions closely related to the three-point susceptibility introduced by Biroli et al. [Phys. Rev. Lett. 97, 195701 (2006)] and the standard two-point correlation function. The four-point function has a structure very similar to that proposed by Berthier and collaborators [Science 310, 1797 (2005), J. Chem. Phys. 126, 184503 (2007)]. It exhibits a small wave vector divergence at the mode-coupling transition.
Cite
@article{arxiv.0805.4827,
title = {Divergent four-point dynamic density correlation function of a glassy colloidal suspension: a diagrammatic approach},
author = {Grzegorz Szamel},
journal= {arXiv preprint arXiv:0805.4827},
year = {2009}
}