Two-dimensional nonlinear nonequilibrium kinetic theory under steady heat conduction.
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 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.
Hyeon-Deuk
Kim
K
Department of Chemistry, Kyoto University, Kyoto 606-8502, Japan. kim@kuchem.kyoto-u.ac.jp