Two-dimensional nonlinear nonequilibrium kinetic theory under steady heat conduction

Type: Article

Publication Date: 2005-04-08

Citations: 6

DOI: https://doi.org/10.1103/physreve.71.041203

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 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.

Locations

  • Physical Review E - View
  • arXiv (Cornell University) - View - PDF
  • Kyoto University Research Information Repository (Kyoto University) - View - PDF
  • PubMed - View
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