Plasma Electrodynamics
Plasma Electrodynamics

Author: A. I. Akhiezer

Publisher: Elsevier

Published: 2017-03-22

Total Pages: 433

ISBN-13: 1483152154

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Plasma Electrodynamics, Volume 1: Linear Theory is a seven-chapter book that begins with a description of the general methods of describing plasma, particularly, kinetic and hydrodynamic methods. Chapter 2 discusses the linear theory of magneto-hydrodynamic waves. Chapter 3 describes the non-linear magneto-hydrodynamic waves, both simple waves and shock waves. Subsequent chapters explain the high-frequency oscillations in an unmagnetized plasma; oscillations of a plasma in a magnetic field; and interaction between charged particle beams and a plasma. The last chapter details the oscillations of a partially ionized plasma.

Theory of Plasmas
Theory of Plasmas

Author: Kaya Imre

Publisher:

Published: 1961

Total Pages: 72

ISBN-13:

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The linear oscillations in a hot plasma which is representable by the relativistic Vlasov equation with the self-consistent fields are investigated. The method which is used by Bernstein in the nonrelativistic case is generalized to obtain the formal solution of the linearized problem. Particular attention is given to the case when the unperturbed distribution function is of the Maxwell-Boltzmann-Juttner type (i.e., the relativistic equilibrium distribution) in which case the integrations involving the velocity space are carried out explicitly. The dispersion equation is derived and studied to some extent, considering the spatial dispersions explicitly in some special cases of interest. The ordinary and extraordinary modes, and the magnetohydrodynamic waves are investigated when the propagation vector is along the unperturbed magnetic field. The asymptotic expansions are developed corresponding to the dispersion relations of the cases considered, and they are shown to be in agreement with the results of previous studies in their respective order of approximations. It is found that circularly polarized transverse waves propagating along the unperturbed magnetic field are evanescent nu squared exceeds the quantity 1-phi squared divided by omega squared where nu is the index of refraction (kc/omega) and phi is the gyrofrequency. (Author).