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Potentials for Cylindrical Warm Plasmas
Author(s) -
Maurice I. Sancer
Publication year - 1966
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196617799
Subject(s) - magnetic field , plasma , anisotropy , physics , scalar (mathematics) , matrix (chemical analysis) , scalar field , electromagnetic field , electron , maxwell's equations , classical mechanics , computational physics , mechanics , quantum electrodynamics , mathematics , quantum mechanics , materials science , geometry , composite material
The plasma which is analyzed is described by the linearized electron‐fluid equations, and source terms are included. Anisotropic effects which are caused by the presence of an externally applied constant axial magnetic field are included in this analysis. It is shown that a set of three potentials can be introduced, provided a three‐by‐three matrix can be diagonalized. For the model without the magnetic field this matrix is diagonalized. Two of the resulting potentials are then shown to be scalar multiples of the Hertzian potentials for the electromagnetic part of the equations and the remaining potential is a scalar multiple of the pressure. A brief outline is included to show how 2 + n potentials could be introduced for the anisotropic multiftuid model.