Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-07
Physical Review E, Vol.71 041203 (2005)
Physics
Condensed Matter
Statistical Mechanics
50 pages including 5 figures and 7 tables, to be published in Physical Review E
Scientific paper
10.1103/PhysRevE.71.041203
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.
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