Journal of Statistical Physics

, Volume 45, Issue 3–4, pp 541–560 | Cite as

Nonisotropic solutions of the Boltzmann equation

  • R. O. Barrachina
  • C. R. Garibotti


We consider the relaxation to equilibrium of a spatially uniform Maxwellian gas. We expand the solution of the nonlinear Boltzmann equation in a truncated series of orthogonal functions. We integrate numerically the equation for non-isotropic initial conditions. For certain simple conditions we find interesting proximity effects and other transient relaxation phenomena at thermal energies. Furthermore, we define a resummation of the orthogonal expansion which is more convenient than the original one for the numerical analysis of the relaxation process.

Key words

Boltzmann equation nonisotropic initial conditions Maxwell molecules moment equations numerical calculations 


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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • R. O. Barrachina
    • 1
  • C. R. Garibotti
    • 1
    • 2
  1. 1.Centro Atómico BarilocheComisión Nacional de Energia AtómicaBariloche, R.N.Argentina
  2. 2.Consejo Nacional de Investigaciones Cientificas y TécnicasArgentina

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