Basic principles of electron density fluctuations in a plasma
Abstract
The collective fluctuation spectrum of the electron density in a plasma is calculated by a method which does not utilize a specific kinetic equation, and relies only on the following three very general principles: the linear response of a plasma to a weak electric field, the Nyquist theorem, and the principle of causality in the form of the Hilbert transform relations. A new general principle is deduced from the preceding ones which relates the random fluctuation spectrum uniquely to the imaginary part of a function G. This function determines most of the important plasma properties such as the electrical conductivity, the permittivity, and the collective fluctuation spectrum. The four principles together allow one to deduce the collective fluctuation spectrum from the random single particle spectrum previously derived by one of the authors. Nonadditive combination of Landau damping and collision damping is one of the results of this paper.
 Publication:

Plasma Physics
 Pub Date:
 April 1977
 DOI:
 10.1088/00321028/19/4/007
 Bibcode:
 1977PlPh...19..369T
 Keywords:

 Collisional Plasmas;
 Electron Density (Concentration);
 Plasma Density;
 Plasma Oscillations;
 Debye Length;
 Electric Field Strength;
 Electrical Resistivity;
 Hilbert Transformation;
 Landau Damping;
 Nyquist Frequencies;
 Particle Collisions;
 Permittivity;
 Plasma Spectra;
 Velocity Distribution;
 Plasma Physics