Integration through transients for Brownian particles under steady shear
Abstract
Starting from the microscopic Smoluchowski equation for interacting Brownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are obtained, which take the form of generalized Green-Kubo relations. They require integration of transient dynamics. Equations of motion with memory effects for transient density fluctuation functions are derived from the same microscopic starting point. We argue that the derived formal expressions provide useful starting points for approximations in order to describe the stationary non-equilibrium state of steadily sheared dense colloidal dispersions.
Keywords
Cite
@article{arxiv.cond-mat/0501563,
title = {Integration through transients for Brownian particles under steady shear},
author = {Matthias Fuchs and Michael E. Cates},
journal= {arXiv preprint arXiv:cond-mat/0501563},
year = {2009}
}
Comments
17 pages, Submitted to J. Phys.: Condens. Matter; revised version with minor corrections