scholarly journals The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution

2020 ◽  
Vol 60 (7) ◽  
pp. e201900183
Author(s):  
Futao Sun ◽  
Jiulin Du
Keyword(s):  
Velocity Distribution ◽  
Power Law ◽  
Neutral Particle ◽  
Collision Frequency ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma

Multi-species kinetic generalization of the Appleton–Hartree dispersion formula

1985 ◽  
Vol 33 (2) ◽  
pp. 265-284 ◽  
Author(s):  
A. J. M. Garrett
Keyword(s):  
Dispersion Relation ◽  
Neutral Particle ◽  
Spatial Dispersion ◽  
Collision Frequency ◽  
Physical Significance ◽  
Charged Species ◽  
Dispersion Formula ◽  
Weakly Ionized ◽  
Phase Propagation ◽  
Special Case

This paper calculates, on a kinetic basis, the dispersion relation and field polarization for waves propagating linearly through a homogeneous magnetoplasma when thermal velocities are far less than the phase velocity. Approximations are brought in only as necessary and their physical significance explained. The result is an improved derivation of the Sen–Wyller generalization of the Appleton–Hartree formula for velocity-dependent collision frequency. Further generalization to several charged species is made, and the dispersion relation is also considered in terms of the angle between the ambient magnetic field and the group (rather than phase) propagation direction. Special case reduction to the Appleton-Hartree formula is confirmed. Complications concerning the limit of weak spatial dispersion are discussed. The analysis is restricted to weakly ionized plasmas in which the charge to neutral particle mass ratios are small, collisions are weak, and the wave vector is predominantly real.

Effective parameters for Maxwellian and non-Maxwellian magnetoplasmas

1968 ◽  
Vol 46 (13) ◽  
pp. 1547-1562 ◽  
Author(s):  
P. M. Bakshi ◽  
R. E. Haskell ◽  
R. J. Papa
Keyword(s):  
Power Law ◽  
Collision Frequency ◽  
Electron Distribution Function ◽  
Distribution Functions ◽  
Electron Velocity ◽  
Effective Parameters ◽  
Plasma Parameters ◽  
Effective Collision Frequency ◽  
Weakly Ionized ◽  
The Relationship

The velocity dependence of the electron–neutral collision frequency may be taken into account by introducing an effective collision frequency and an effective plasma frequency. The properties of these effective parameters are examined for cold, weakly ionized magnetoplasmas. The relationship between these effective parameters and a new collisional response function R(y) is described for Maxwellian distribution functions. For this case of Maxwellian distributions, curves are presented of the effective parameters as a function of frequency for both a pure power-law dependence of collision frequency on electron velocity and for the case of a coupling between two power-law variations. When the a-c. electric field becomes sufficiently strong to alter the form of the isotropic part of the electron distribution function, the effective plasma parameters will become functions of the ellipticity and intensity of the a-c. field. Graphs are presented of the effective parameters as a function of normalized frequency, normalized field strength, and dependence of collision frequency on electron velocity for the case where only pure (unmixed) high-intensity modes are present in the weakly ionized magnetoplasma.

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