Kinetic Theory of a Dilute Gas System under Steady Heat Conduction
arXiv:cond-mat/0202003 · doi:10.1143/JPSJ.72.1904
Abstract
The velocity distribution function of the steady-state Boltzmann equation for hard-core molecules in the presence of a temperature gradient has been obtained explicitly to second order in density and the temperature gradient. Some thermodynamical quantities are calculated from the velocity distribution function for hard-core molecules and compared with those for Maxwell molecules and the steady-state Bhatnagar-Gross-Krook(BGK) equation. We have found qualitative differences between hard-core molecules and Maxwell molecules in the thermodynamical quantities, and also confirmed that the steady-state BGK equation belongs to the same universality class as Maxwell molecules.
36 pages, 4 figures, 5 tables
References in corpus (1)
Cited by in corpus (11)
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