scholarly journals Free Path Formulae for the Electronic Conductivity of a Weakly Ionized Gas in the Presence of a Uniform and Constant Magnetic Field and a Sinusoidal Electric Field

1957 ◽  
Vol 10 (2) ◽  
pp. 240 ◽  
Author(s):  
LGH Huxley

A general free path formula is given for the drift velocity of electrons in a weakly ionized gas in a sinusoidal electric field. Most special cases of interest, including the magnetic deflection of an electron stream in a gas, are readily derivable from the general formula.

1969 ◽  
Vol 24 (4) ◽  
pp. 555-559 ◽  
Author(s):  
Wolfgang Stiller ◽  
Günter Vojta

Abstract The electron distribution function is calculated explicitly for a weakly ionized plasma under the action of an alternating electric field E = {0 , 0 , Eoz cos ω t} and a circularly polarized magnetic field BR = Bc{cos ωB t, sin ωB t, 0} rotating perpendicular to the a.c. field. Furthermore, a constant magnetic field B0 = {0, 0, B0} is taken into account. The isotropic part f0 of the electron distribution function which contains, in special cases, well-known standard distributions (distributions of Druyvensteyn, Davydov, Margenau, Allis, Fain, Gurevic) shows a resonance behaviour if the frequencies ω, ωc = (q/m) Bc , ω0 = (q/m) B0 , and ωB satisfy the relation ω= This can be understood as a generalized cyclotron resonance phenomenon.


1967 ◽  
Vol 22 (7) ◽  
pp. 1039-1057
Author(s):  
F. Karger

For the particle losses of a weakly ionized plasma which result from the torus drift in a curved magnetic field, an expression is derived which is valid for certain parameters of the positive column of a gas discharge. To check this theory the “AMBIPOL” device was built. With this device it was possible to determine simultaneously the losses both in the toroidal and in the linear magnetic field by measuring the longitudinal electric field strength. As theory predicts, with growing magnetic field strength a weaker decrease of the longitudinal electric field was observed in the toroidal part of the discharge as compared to the linear part. The measured values of the relative electric field strength, however, exceed the theoretical limit, although the measurements of the electric field in the straight part and the measurements of the particle density and of the electron temperature in the curved part are consistent with theory. Moreover, contrary to the expectations, the onset of the KADOMTSEV instability occurs at lower critical magnetic fields in the toroidal part than in the straight part. Several possible explanations are discussed. In a later paper it will be attempted to make a choice among the three most probable ones.


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