Abstract
There are two commonly used theoretical methods to study plasma properties, namely, the fluid and kinetic descriptions. The first one is most popular because it is more simple from the mathematical point of view and due to a more evident method of theoretical investigation. Unlike that, the kinetic method is more complicated from the mathematical point of view and more difficult for understanding. However, there are some important phenomena in plasmas which can be adequately described and explained only in the framework of the kinetic description. Among them are: damping and excitation of plasma waves in anisotropic plasmas, propagation of cyclotron waves etc. The reason for this is the ability of the kinetic approach, unlike the hydrodynamic approach, to take into account the finite size of the Larmor radius of the plasma electrons during their rotation in an external static magnetic field. This monograph is devoted just to investigation of various properties of electron cyclotron waves in bounded plasmas. They can be analyzed only employing the kinetic approach. Therefore, it is suitable to start the present considerations from studying methods of solving the kinetic equation.
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Girka, V., Girka, I., Thumm, M. (2019). Methods of Solving the Kinetic Vlasov-Boltzmann Equation in Case of Bounded Magnetized Plasmas. In: Surface Electron Cyclotron Waves in Plasmas. Springer Series on Atomic, Optical, and Plasma Physics, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-030-17115-5_2
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