Abstract
Boltzmann equation is the fundamental equation on the distribution function and is reduced to (8.12) in Sect. 8.2. When the collisional term is negligible, (8.12) becomes Vlavov equation. Collisional term under the assumption of Markoff process is reduced to Fokker–Planck collision term (8.22) in Sect. 8.3. Equation (8.22) is reduced to Landau collision integral (8.38) and Rosenbulth potential (8.41). Section 8.4 explains quasi-linear treatment on evolution of distribution function.
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References
D.V. Sivukhin, in Reviews of Plasma Physics, ed. by M.A. Leontovich (Consultant Bureau, New York, 1966), vol. 4, p. 93
B.A. Trubnikov, in Reviews of Plasma Physics, ed. by M.A. Leontovich (Consultant Bureau, New York, 1965), vol. 1, p. 105
M.N. Rosenbluth, W.M. MacDonald, D.L. Judd, Phys. Rev. 107, 1 (1957)
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Miyamoto, K. (2016). Boltzmann’s Equation. In: Plasma Physics for Controlled Fusion. Springer Series on Atomic, Optical, and Plasma Physics, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49781-4_8
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DOI: https://doi.org/10.1007/978-3-662-49781-4_8
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