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Solution of the Boltzmann Equation

  • Leopoldo S. García-Colín
  • Leonardo Dagdug
Chapter
  • 667 Downloads
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 53)

In this section we want to discuss the solution to Eq. (2.2). The first problem we encounter concerns the correct interpretation of the drift term \(\vec{v_{i}}\times\vec{B}\) where \(\vec{v_{i}}\) is the velocity of a particle of species i. Since \(\vec{v_{i}}=\vec {c_{i}}+\vec{u}\) and \(|\vec{c_{i}}|>>|\vec{u}|\) being the velocity associated with the thermal agitation of the molecules we follow Chapman and Cowling’s suggestion in keeping \(\vec{u}\times\vec{B}\) in the drift term and bring \(\vec{c_{i}}\times\vec{B}\) to the collisional contribution.

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Bibliography

  1. [1]
    P. Goldstein and L. García-Colín, J. Non-equilib. Thermodyn. 30, 173 (2005). zbMATHCrossRefGoogle Scholar
  2. [2]
    See references in Chap. 1. Specially Ref. [8] part III. Google Scholar

Copyright information

© Springer Science + Business Media B.V. 2009

Authors and Affiliations

  • Leopoldo S. García-Colín
    • 1
  • Leonardo Dagdug
    • 1
  1. 1.Depto. FísicaUniversidad Autónoma Metropolitana-IztapalapaMéxico, D.F.México

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