Kinetic theory of weakly ionized time-varying magnetoplasmas

Stiller, W.; Vojta, G.

doi:10.1016/0031-8914(69)90003-2

Cited by 4 publications

(1 citation statement)

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“…The occurence of harmonics in the stationary state shown in the present paper by means of a generalized Fourier expansion has been confirmed by Stiller and Vojta [25], who have solved the differential equation (1.8) directly with f o as parameter (this method may also be used in the non.stationaiy case) and by calculations in the framework of the single particle theory [26], cf. [4].…”

Section: Resultssupporting

confidence: 57%

Higher Harmonics and Transport Coefficients of Plasmas in Circulary Polarized Magnetic Fields and Additional Electromagnetic Fields

Kirsten

Vojta²

1972

Contrib Plasma Phys

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With the methods of kinetic theory on the basis of the Boltzmann and Fokker-Planck kinetic equations the behaviour of a Lorentz plasma in a circularly polarized (rotating) magnetic field (rotation frequencyw), a n alternating electric field (frequency 0') and additional constant electromagnetic fields is inveatigated. By means of a generalized Fourier expansion it is shown that the above fields create in the plasma currenta of the frequencies 0, w', w-w', w, w+w', 2w-w', 20, and 2w+w'. Tramport, coefficients are calculated explicitly and the validity of Onsager reciprocity relations and that of Kronig-liramers relations is discussed. The special c&98 of the electric field induced by the rotating magnetic field is treated separately. Finally, problems of plasma containment are discussed.

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Section: Resultssupporting

confidence: 57%

Higher Harmonics and Transport Coefficients of Plasmas in Circulary Polarized Magnetic Fields and Additional Electromagnetic Fields

Kirsten

Vojta²

1972

Contrib Plasma Phys

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Allgemeine Berechnung der Elektronenverteilungsfunktion von schwach ionisierten Plasmen in beliebig zeitabhängigen elektromagnetischen Feldern

Koch

1969

Contrib Plasma Phys

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SummaryThe behaviour of a weakly ionized plasma in external, arbitrarily time-dependent, electromagnetic fields is treated within the framework of kinetic theory. The BOLTZXANN kinetic equation is solved using the LORENTZ ansatz, taking into account elastic collisions between electrons and neutral particles and assuming that the collision frequency is independent of the electron velocity.The drift velocity of electrons enters into the isotropic part fo and into the direction-dependent part fl of the electron distribution function. A method is given for the calculation of the drift velocity, which is calculated explicitly for the important but difficult case of a sinusoidal electric field in the presence of a magnetic switching field. fo and il are calculated; fo is investigated generally.f o consists of an expansion in generalized LAGIJERRE polynomials. The influence of the electromagnetic fields on the distribution function and its time variation is discussed and the relaxation behaviour is shown. The following two special cases are calculated explicitly: a linear rising electric field and a sinusoidal electric field, both in the presence of a constant magnetic field.

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