Statistical mechanics, kinetic theory, and hydrodynamics for rapid granular flow
J. Dufty. Journal of Physics: Condensed Matter, 12 (8A):
A47-A56(2000)
Abstract
A system of smooth hard spheres with inelastic collisions is considered as an idealized model to describe rapid granular flow. A non-equilibrium statistical mechanics is formulated for this system, analogous to that for elastic collisions. The associated Liouville equation provides the basis for application of many-body methods such as linear response, kinetic theory, and the derivation of macroscopic hydrodynamic equations. These methods are illustrated for the simplest case of self-diffusion. A Green-Kubo expression for the self-diffusion coefficient is derived and evaluated using an approximate linear kinetic theory. Other recent applications of kinetic theory and kinetic models are reviewed briefly.
%0 Journal Article
%1 0953-8984-12-8A-306
%A Dufty, James W
%D 2000
%J Journal of Physics: Condensed Matter
%K linearresponse granular hydrodynamics imported
%N 8A
%P A47-A56
%T Statistical mechanics, kinetic theory, and hydrodynamics for rapid granular flow
%U http://stacks.iop.org/0953-8984/12/A47
%V 12
%X A system of smooth hard spheres with inelastic collisions is considered as an idealized model to describe rapid granular flow. A non-equilibrium statistical mechanics is formulated for this system, analogous to that for elastic collisions. The associated Liouville equation provides the basis for application of many-body methods such as linear response, kinetic theory, and the derivation of macroscopic hydrodynamic equations. These methods are illustrated for the simplest case of self-diffusion. A Green-Kubo expression for the self-diffusion coefficient is derived and evaluated using an approximate linear kinetic theory. Other recent applications of kinetic theory and kinetic models are reviewed briefly.
@article{0953-8984-12-8A-306,
abstract = {A system of smooth hard spheres with inelastic collisions is considered as an idealized model to describe rapid granular flow. A non-equilibrium statistical mechanics is formulated for this system, analogous to that for elastic collisions. The associated Liouville equation provides the basis for application of many-body methods such as linear response, kinetic theory, and the derivation of macroscopic hydrodynamic equations. These methods are illustrated for the simplest case of self-diffusion. A Green-Kubo expression for the self-diffusion coefficient is derived and evaluated using an approximate linear kinetic theory. Other recent applications of kinetic theory and kinetic models are reviewed briefly. },
added-at = {2007-01-16T19:28:02.000+0100},
author = {Dufty, James W},
biburl = {https://www.bibsonomy.org/bibtex/2100f76be66906a3e4f4fb259b8e1afbe/andreapuglisi},
interhash = {90ebae3fdcd36efbcb2cf49ad97d3212},
intrahash = {100f76be66906a3e4f4fb259b8e1afbe},
journal = {Journal of Physics: Condensed Matter},
keywords = {linearresponse granular hydrodynamics imported},
number = {8A},
pages = {A47-A56},
timestamp = {2007-01-16T19:28:02.000+0100},
title = {Statistical mechanics, kinetic theory, and hydrodynamics for rapid granular flow},
url = {http://stacks.iop.org/0953-8984/12/A47},
volume = 12,
year = 2000
}