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On the Symmetrical Modes in a Cylindrical Nonisothermal Plasma Waveguide in a Finite External Magnetic Field
Author(s) -
Nikolov N. A.,
Yanovsky A. B.
Publication year - 1984
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19840240308
Subject(s) - physics , dispersion relation , plasma , boundary value problem , magnetic field , waveguide , electron , magnetohydrodynamics , quantum electrodynamics , mechanics , thermal , condensed matter physics , classical mechanics , optics , quantum mechanics , thermodynamics
Abstract A MHD, symmetrical, nonpotential waves in nonuniform, cylindrical nonisothermal plasma waveguide placed in a finite external magnetic field H 0 directed along the axis of the waveguide are considered. The thermal velocity of the electrons ν Te = ( kT e / m e ) 1/2 ( k — Boltzman's constant, T e — temperature, m e — mass of the electron) is not neglected. As a consequence we obtain one more solution in the plasma region and respectively an equation of third power on χ 2 — the transverse wave number. As far as we know only equations of second power on χ 2 describing non‐potential waves are investigated. The dispersion equations are written solving the boundary‐value problem. Our results coincide with well known ones when the electron thermal velocity tends to zero.