Two-dimensional nonlinear nonequilibrium kinetic theory under steady heat conduction

Kim Hyeon-Deuk
Phys. Rev. E 71, 041203 – Published 8 April 2005

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.

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  • Received 21 October 2004

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

©2005 American Physical Society

Authors & Affiliations

Kim Hyeon-Deuk*

  • Department of Chemistry, Kyoto University, Kyoto 606-8502, Japan

  • *Electronic address: kim@kuchem.kyoto-u.ac.jp

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Issue

Vol. 71, Iss. 4 — April 2005

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