Two Dimensional Nonlinear Nonequilibrium Kinetic Theory under Steady Heat Conduction
Statistical Mechanics
2009-11-11 v2
Abstract
The two-dimensional steady-state Boltzmann equation for hard-disk molecules in the presence of a temperature gradient has been solved explicitly to second order in density and the temperature gradient. The two-dimensional equation of state and some physical quantities are calculated from it and compared with those for the two-dimensional steady-state Bhatnagar-Gross-Krook(BGK) equation and information theory. We have found that the same kind of qualitative differences as the three-dimensional case among these theories still appear in the two-dimensional case.
Cite
@article{arxiv.cond-mat/0501142,
title = {Two Dimensional Nonlinear Nonequilibrium Kinetic Theory under Steady Heat Conduction},
author = {Kim Hyeon-Deuk},
journal= {arXiv preprint arXiv:cond-mat/0501142},
year = {2009}
}
Comments
50 pages including 5 figures and 7 tables, to be published in Physical Review E