Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity
Statistical Mechanics
2009-11-11 v1 Soft Condensed Matter
Abstract
We present a mesoscopic hydrodynamic description of the dynamics of colloidal suspensions. We consider the system as a gas of Brownian particles suspended in a Newtonian heat bath subjected to stationary non-equilibrium conditions imposed by a velocity field. Using results already obtained in previous studies in the field by means of a generalized Fokker-Planck equation, we obtain a set of coupled differential equations for the local diffusion current and the evolution of the total stress tensor. We find that the dynamic shear viscosity of the system contains contributions arising from the finite size of the particles.
Keywords
Cite
@article{arxiv.cond-mat/0609746,
title = {Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity},
author = {S. I. Hernandez and I. Santamaria-Holek and Carlos I. Mendoza and L. F. del Castillo},
journal= {arXiv preprint arXiv:cond-mat/0609746},
year = {2009}
}
Comments
To appear in Physical Review E