Density Functional approach to Nonlinear Rheology
Soft Condensed Matter
2013-06-04 v1
Abstract
We present a density functional based closure of the pair Smoluchowski equation for Brownian particles under shear flow. Given an equilibrium free energy functional as input the theory provides first-principles predictions for the flow-distorted pair correlation function and associated rheological quantities over a wide range of volume fractions and flow rates. Taking two-dimensional hard-disks under shear flow as an illustrative model we calculate the pair correlation function, viscosity and normal stress difference under both steady and start-up shear.
Cite
@article{arxiv.1301.5245,
title = {Density Functional approach to Nonlinear Rheology},
author = {J. Reinhardt and F. Weysser and J. M. Brader},
journal= {arXiv preprint arXiv:1301.5245},
year = {2013}
}