The generalized hydrodynamic equations for arbitrary collision frequency in a weakly ionized plasma

2000 ◽  
Vol 7 (1) ◽  
pp. 122-134 ◽  
Author(s):  
E. Furkal ◽  
A. Smolyakov
Keyword(s):  
Collision Frequency ◽  
Hydrodynamic Equations ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma

Ambipolar diffusion as a singular perturbation problem

1973 ◽  
Vol 10 (2) ◽  
pp. 317-336 ◽  
Author(s):  
M. J. Giles
Keyword(s):  
Singular Perturbation ◽  
Anisotropic Diffusion ◽  
Collision Frequency ◽  
Perturbation Expansion ◽  
Singular Perturbation Problem ◽  
Nonlinear Diffusion Equations ◽  
Perturbation Problem ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma ◽  
Anisotropic Diffusion Equation

The effect of a magnetic field on the diffusion of a cylindrical column of ionization, having an initial electron density much greater than that of the ambient weakly ionized plasma in which it is embedded, is examined for the case in which the electron gyro-frequency is much greater than the electron neutral collision frequency Ve. The nonlinear diffusion equations are solved by means of a perturbation expansion based on their exact solution for the case Ve = 0. This approach leads to a singular perturbation problem, and shows that, when the column is not closely aligned with the field the distribution of plasma differs appreciably from that obtained from an ordinary anisotropic diffusion equation.

Effective coffision frequency and electron temperature in a weakly ionized argon plasma

1980 ◽  
Vol 23 (2) ◽  
pp. 271-282
Author(s):  
C. P. Schneider
Keyword(s):  
Electron Temperature ◽  
High Frequency ◽  
Collision Frequency ◽  
Argon Plasma ◽  
Angular Frequency ◽  
Weak Electric Field ◽  
Hard Sphere Model ◽  
Plasma Conductivity ◽  
Gas Plasma ◽  
Weakly Ionized

Herein is described a calculation of the effective coffision frequency νeffof a low- density, shock-heated argon plasma under the influence of a weak electric field which oscillates harmonically with angular frequency ω. It is shown that, for the high frequency case ω >whereis the collision frequency in a Maxwellian gas plasma, one has νeff⋍ 2, provided that the imaginary part of the argon plasma conductivity is negligibly small in comparison to the real part. The influence of the theoretical model used to calculate νeffon the values of the electron temperatureTederived from measurements is compared with the results obtained in a data reduction for which the hard-sphere model for particle encounters was utilized.

scholarly journals Macroparticle screening in a weakly ionized plasma

2007 ◽  
Vol 11 (2) ◽  
pp. 158-164 ◽  
Author(s):  
A. G. Zagorodny ◽  
A. V. Filippov ◽  
A. F. Pal' ◽  
A. N. Starostin ◽  
A. I. Momot
Keyword(s):  
Weakly Ionized ◽  
Weakly Ionized Plasma
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