Journal of Statistical Physics

, Volume 1, Issue 4, pp 585–593

Velocity-space contours of collision integrals

  • R. Narasimha
  • S. M. Deshpande
  • P. V. Subba Raju
Note

DOI: 10.1007/BF01024133

Cite this article as:
Narasimha, R., Deshpande, S.M. & Raju, P.V.S. J Stat Phys (1969) 1: 585. doi:10.1007/BF01024133

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 gasesBoltzmann equationcollision integralsnonequilibrium in hard-sphere gasesnumerical analysis of collision integralsexact results for collision integrals

Copyright information

© Plenum Publishing Corporation 1969

Authors and Affiliations

  • R. Narasimha
    • 1
  • S. M. Deshpande
    • 1
  • P. V. Subba Raju
    • 1
  1. 1.Department of Aeronautical EngineeringIndian Institute of ScienceBangaloreIndia