ISSN:0005-8025    

DOI:10.1002/ctpp.19670070603

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractIn das System der partiellen Differentialgleichung der Ionisationswellentheorie wird eine räumlich lokale und zeitlich periodische Quelle eingeführt, welche eine lokale periodische äußere Störung repräsentiert. Die Lösung dieses Gleichungssystems wird in der Umgebung der Resonanzfrequenz in analytischer Form gefunden. Sowohl ihrer formalen Gestalt nach als auch bezüglich ihrer Dispersions‐ und Amplifikationseigenschaft entspricht diese Lösung zufriedenstellend den künstlich erzeugten laufenden Schichten. Unter gewissen Bedingungen kann aus der angeführten Lösung durch die Extrapolation ω → 0 eine Näherungsdarstellung der stehenden Schichte

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070604

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractIn der schwachionisierten Mitteldrucksäule in Argon wurden im BereichRp<150 cm Torr undi/R<2 Acm−1Messungen der Neutralgastemperatur mittels feiner Thermoelemente vorgenommen. Die erhaltenen Werte wurden durch Bestimmung der mittleren Gastemperatur aus indirekten Druckmessungen kontrolliert. Es wurden Neutralgastemperaturen in Rohrmitte gefunden, die sich befriedigend mit einfachen Folgerungen aus der Wärmebilanz der Entladungssäule in Einklang bringen la

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070605

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractBei der Ausbreitung von Schallimpulsen in einer Niederdruckentladung wird die lokale Lichtemission in Form einer zeitlich abklingenden Sinusschwingung moduliert. Diese ist als Sekundärstörung des Plasmas durch den Schall aufzufassen. Erste experimentelle Ergebnisse und modellmäßige Vorstellungen über den Mechanismus der als Ionisationsschwingungen gedeuteten Vorgänge werden darges

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070606

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractThe general solution of the equations of motion for a charged particle in a magnetic field is given for the following case: the spatially homogeneous magnetic field having a constant direction is a superposition of a field constant in time and one decreasing exponentially in time; taken into account is the influence of the electric field induced by the time dependent magnetic field and a friction force proportional to the particle velocity. The higher transcendental functions appearing in the exact solution are approximated in various ways in dependence on the values of the argument and parameters. The important case of a switching process without a friction force is investigated in detail. The higher transcendential functions can be approximated by simplier functions in such a way, that the solutions for the switching process, valid for all times, differ from the solutions in the case of a linear increasing magnetic field only by factors consisting of elementary functions. Approximated formulae of a very simple form are obtained for position, velocity, kinetic energy and magnetic moment of the particle. The particle orbits are classified and their dependence on the initial values and parameters of the magnetic fields is studied. A comparison between our results and a rectangular variation of the field shows that the latter is not a good approximation for a really exponential increasing field. Finally a detailed investigation shows that the electric field induced by the time dependent magnetic field has an important influence on the particle motion.

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070607

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractThe Langevin 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 at 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 Langevin equation treated is completely equivalent to the equation of motion in a magnetohydrodynamic one‐fluid

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070608

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractA general method is given for the calculation of the electron distribution function of a weakly ionized plasma in external time‐dependent magnetic fields and additional electromagnetic fields. The Boltzmann equation of kinetic theory is solved taking into account elastic collisions between electrons and neutrals. The isotropic partf0of the distribution function follows from a general linear integro‐differential equation and contains all known standard distributions (Druyvesteyn, Davydov, Margenau and others) as special cases. The direction‐dependent partf1gives the transport te

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070609

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

摘要:

AbstractIrreversible processes in a classical electron plasma are treated on the basis of a linearized Vlasov equation supplemented by Bhatnagar‐Gross‐Krook terms describing electron‐electron and electron‐ion collisions correctly. The infinitely extended plasma is under the action of a space‐ and time‐dependent external electric field. A general method of solution with projection operator techniques is given which results in a system of two coupled Volterra integral equations of the convolution type for the internal electric field and the current density. From there follows the electron distribution function, the electric field in the plasma, the electrical conductivity and a very general dispersion relation including Landau and collision damping. The method given can be generalized f. i. for multicomponent plasmas and for strong external elec

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070610

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY

ISSN:0005-8025    

DOI:10.1002/ctpp.19670070601

出版商:WILEY‐VCH Verlag    

年代:1967

数据来源: WILEY