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
P. Goldstein and L. García-Colín, J. Non-equilib. Thermodyn. 30, 173 (2005).
See references in Chap. 1. Specially Ref. [8] part III.
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García-Colín, L.S., Dagdug, L. (2009). Solution of the Boltzmann Equation. In: The Kinetic Theory of a Dilute Ionized Plasma. Springer Series on Atomic, Optical, and Plasma Physics, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9330-2_3
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