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Journal of Statistical Physics

, Volume 1, Issue 4, pp 585-593

Velocity-space contours of collision integrals

  • R. NarasimhaAffiliated withDepartment of Aeronautical Engineering, Indian Institute of Science
  • , S. M. DeshpandeAffiliated withDepartment of Aeronautical Engineering, Indian Institute of Science
  • , P. V. Subba RajuAffiliated withDepartment of Aeronautical Engineering, Indian Institute of Science

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Abstract

Based on the recently found closed-form expressions of the Boltzmann collision integrals in a rigid-sphere gas for multi-Maxwellian distributions, a few typical sets of contour surfaces of the integrals in the space of molecular velocities are presented. These show graphically the tendency toward equilibrium under the influence of collisions. A brief preliminary comparison with Monte Carlo results is also given.

Key words

Kinetic theory of gases Boltzmann equation collision integrals nonequilibrium in hard-sphere gases numerical analysis of collision integrals exact results for collision integrals