Fourier's Law for a Granular Fluid
Statistical Mechanics
2007-07-10 v1 Soft Condensed Matter
Abstract
Newton' viscosity law for the momentum flux and Fourier's law for the heat flux define Navier-Stokes hydrodynamics for a simple, one component fluid. There is ample evidence that a hydrodynamic description applies as well to a mesoscopic granular fluid with the same form for Newton's viscosity law. However, theory predicts a qualitative difference for Fourier's law with an additional contribution from density gradients even at uniform temperature. The reasons for the absence of such terms for normal fluids are indicated, and a related microscopic explanation for their existence in granular fluids is presented.
Cite
@article{arxiv.0707.1116,
title = {Fourier's Law for a Granular Fluid},
author = {James W. Dufty},
journal= {arXiv preprint arXiv:0707.1116},
year = {2007}
}
Comments
submitted for publication in a Special Issue of Journal of Physical Chemistry B in honor of the 70th birthday of Keith Gubbins