Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity

Details Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity

2006-09-28

arxiv.org/abs/cond-mat/0609746v1

Physics

Condensed Matter

Statistical Mechanics

To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.74.051401

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.

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