Dispersion theory of self excited ion acoustic waves in a hot cylindrical plasma. I  The general formula
Abstract
Starting from the system of the VlasovPoisson equations, a closed equation for the potential of the electrostatic field of ion acoustic waves in a hot cylindrical plasma with drifting electrons is found. For the electrons ideal reflection at the plasma boundary is supposed. From this equation in a first approximation a dispersion relation is derived, which includes dispersion equations presented in the literature for special cases.
 Publication:

Beitraege Plasmaphysik
 Pub Date:
 1979
 Bibcode:
 1979BePl...19..267G
 Keywords:

 High Temperature Plasmas;
 Ion Acoustic Waves;
 Plasma Cylinders;
 Plasma Waves;
 Self Excitation;
 Wave Dispersion;
 Boundary Layer Plasmas;
 Distribution Functions;
 Electron Runaway (Plasma Physics);
 Poisson Equation;
 Vlasov Equations;
 Plasma Physics