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Half-space problem of the Boltzmann equation for charged particles

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Abstract

For two particular collision kernels, we explicitly solve the one-dimensional stationary half-space boundary value problem of the linear Boltzmann equation including a constant external field via an extension of Case's eigenfunction technique. In the first collision model we reproduce a solution recently obtained by Cercignani; in the second model the solution of the stationary boundary value problem is presented for the first time.

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Authors and Affiliations

  1. Fakultät für Physik, Universität Bielefeld, 33615, Bielefeld, Germany

    Ch. Dalitz

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  1. Ch. Dalitz
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Dalitz, C. Half-space problem of the Boltzmann equation for charged particles. J Stat Phys 88, 129–144 (1997). https://doi.org/10.1007/BF02508467

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  • DOI: https://doi.org/10.1007/BF02508467

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