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Kinetic Theory

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Abstract

In this chapter, we treat the plasma as an aggregate of many charged particles and discuss the plasma response in terms of the phase space distribution function. The chapter consists of two parts: in the first six sections, we use the Vlasov model and treat the plasma as a collisionless continuum or a continuum in the phase space. First in Sect. 6.1, we consider a small perturbation to the unperturbed state which is assumed to be stationary in time and derive the linearized Vlasov equation. Then in Sect 6.2 we consider a magnetic field free isotropic plasma and discuss the linear response of the plasma to an electrostatic perturbation. Collisionless damping of the wave due to the resonant wave-particle interaction is discussed in Sect. 6.3. In Sect. 6.4 we consider a uniform plasma in a magnetic field and derive a general expression for the electrostatic response of the plasma. Then in Sect. 6.5 we consider a spatially non-uniform plasma and present a physical mechanism of the drift wave instability. In Sect. 6.6 we briefly discuss the nonlinear effect associated with the resonant particles.

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© 1994 Springer-Verlag Berlin Heidelberg

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Nishikawa, K., Wakatani, M. (1994). Kinetic Theory. In: Plasma Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03068-4_6

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  • DOI: https://doi.org/10.1007/978-3-662-03068-4_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56854-4

  • Online ISBN: 978-3-662-03068-4

  • eBook Packages: Springer Book Archive

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