Erweiterte kinetische Theorie von Plasmen in rotierenden Magnetfeldern und elektromagnetischen Zusatzfeldern

Vojta, G.; Kirsten, T.

doi:10.1002/ctpp.19650050509

Cited by 6 publications

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“…KIRSTEX and G. VOJTA field could be treated if its frequency is equal to the rotation frequency w of the magnetic field. The special case of the induced electric field allows then statements on plasma confinement [3]. In a following paper [4] it hau been shown that overtone oscillations of the rotation frequency o (up to the third) must be taken into account.…”

Section: *mentioning

confidence: 99%

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: *mentioning

confidence: 99%

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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“…Wilhrend im Teil I dieser Arbeit eine strenge allgemeine Liisung des Anfangswertproblems der linearisierten VLAsov-BGK-Gleichung gegeben wurde, sollen jetzt durch ein Iterationsverfahren handlichere Formeln insbesondere fur den elektrischen Leitfahigkeitstensor und die Dispersionsrelation des Systems hergeleitet werden. Weitere Transporttensoren sind anhand der angegebenen Formeln sofort aufzuschreiben [3].…”

Section: Introductionunclassified

Allgemeine Lösungstheorie der linearisierten VLASOV‐BGK. Gleichung für Mehrkomponentensysteme im Magnetfeld. II lterationslösung für Verteilungsfunktionen Leitfähigkeitstensor und Dispersionsrelation

Kolley

Vojta

1970

Annalen der Physik

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The coupled linearized VLASOV equations for a multicompnent system with charged particles are solved approximately by an iteration procedure. This system may either be a partially or fully ionized gas plasma, or the electron gas of a nondegenerate semiconductor treated in the one-band effective-maes approximation. The system is under the action of a space-and time-dependent external electric field and a homogeneous and constant external magnetic field. Collisions betweenelectrons and ions (or phonons) me taken fully into account by a complete set of BEATNAQAR-GROSS-KROOE collision integrals. The collision terms are expanded in powers of the ratio electron mass/ion mass. I n the first order, the electrical conductivity tensor is calculated, and a general dispersion relation is derived. A proof of the H-theorem is given in an appendix.

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Zur Theorie der Teilchenbewegung in zeitabhängigen elektromagnetischen Feldern

Vojta

Wonn

1967

Contrib Plasma Phys

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The UGMN equation -i.e. the equation of motion for a charged particle including a collision term proportional to the particle velocity -is solved for arbitrary time-dependent electric and magnetic fields by a new general method. Instead of the usual ansatz: particle velocity = cyclotron velocity + drift velocity the method given makes the ansatz: particle velocity = tensor. cyclotron velocity. The unknown tensor obeys a simple differential equation of the first order which can be generally solved a t once. This method is a modification of the variation of constants method for inhomogeneous differential equations. The electromagnetic fields considered must be spatially homogeneous; for (weakly) inhomogeneous fields an iteration procedure of PYTTE (1962) may be applied. Some examples are discussed shortly.The LANOEVIN equation treated is completely equivalent. to the equation of motion in a magnetohydrodynamic one-fluid theory.Viele Probleme der Plasmaphysik lassen sich in erster und oft bereits sehr guter Naherung mit Hilfe der Theorie der Bewegung eines geladenen Einzelteilchensgegebenenfalls unter EinschluB einer Reibungskraft -behandeln ; dazu gehoren Plasmaschwingungen, Plasmainstabilitaten, Wellenfortpflanzung in Plasmen, Plasmaleitfahigkeit, Plasmahalterung, aber auch Probleme der Strahl-PlasmaWechselwirkung und der Elektronen-und Ionenoptik [ [S, 91.

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Erweiterte kinetische Theorie von Plasmen in rotierenden Magnetfeldern und elektromagnetischen Zusatzfeldern

Cited by 6 publications

References 0 publications

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

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

Allgemeine Lösungstheorie der linearisierten VLASOV‐BGK. Gleichung für Mehrkomponentensysteme im Magnetfeld. II lterationslösung für Verteilungsfunktionen Leitfähigkeitstensor und Dispersionsrelation

Zur Theorie der Teilchenbewegung in zeitabhängigen elektromagnetischen Feldern

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