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Moment equations for the diffusion of the particles of a mixture via the scattering kernel formulation of the nonlinear Boltzmann equation

Author

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  • Spiga, G.
  • Nonnenmacher, T.
  • Boffi, V.C.

Abstract

There are two goals in this paper, essentially devoted to the application of the scattering kernel formulation of the nonlinear Boltzmann equation to the case of a mixture. The first goal is to show the equivalence between the scattering kernel representation of the collision term, and the two other representations usually adopted for it in the literature, namely the “kinetic” and the “transition probability” representation, respectively. The second goal is to derive, instead, the general “scalar” nonlinear Boltzmann equation, that is the equation governing an isotropic distribution function for the mixture considered, and to establish then the moment equations associated with it.

Suggested Citation

  • Spiga, G. & Nonnenmacher, T. & Boffi, V.C., 1985. "Moment equations for the diffusion of the particles of a mixture via the scattering kernel formulation of the nonlinear Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(2), pages 431-448.
    • Handle: RePEc:eee:phsmap:v:131:y:1985:i:2:p:431-448
    DOI: 10.1016/0378-4371(85)90007-X
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    Citations

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    Cited by:

    1. Zanette, D.H., 1988. "Two-velocity gas diffusion with removal and regeneration processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 288-297.
    2. Dukek, G. & Nonnenmacher, T.F., 1986. "New classes of similarity solutions for the nonlinear Carleman-Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(1), pages 167-179.
    3. Zanette, Damián H., 1990. "A BBGKY hierarchy for the extended kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 414-426.

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