Theory of moving striations in plasma of D-C discharge I. Basic equation and its general solution

As a base for the theory of moving striations a partial integro- differential equation is derived from the equations of continuity, the Laplace- Poisson equation, and a further relation between the electric field and the temperature of the electrons. Apart from the processes necessary for the actual...

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Bibliographic Details
Published inCzechoslovak journal of physics Vol. 12; no. 6; pp. 450 - 460
Main Authors Pekárek, L., Krejčí, V.
Format Journal Article
LanguageEnglish
Published 01.06.1962
Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CHARGED PARTICLES
CURRENTS
DEBYE LENGTH
DIFFERENTIAL EQUATIONS
DIRECT CURRENT
ELECTRIC DISCHARGES
ELECTRIC FIELDS
ELECTRONS
GEOLOGY
LAPLACE EQUATIONS
LAPLACE TRANSFORM
MOTION
OSCILLATIONS
PLASMA
PLASMA SHEATH
POISSON EQUATIONS
SHIELDING
STRATIFICATION
TEMPERATURE
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Summary:As a base for the theory of moving striations a partial integro- differential equation is derived from the equations of continuity, the Laplace- Poisson equation, and a further relation between the electric field and the temperature of the electrons. Apart from the processes necessary for the actual formation of striations and for the amplification of the wave of stratification, the equation also includes the processes defining the Debye length of the electrons, the influence of the axial electric field and of its local defiections on the motion of current carriers, and the direct influence of the deviations in concentration of the electrons on the rate of production of current carriers. In deriving the equation the main attention is paid to the physical sense of the mathematical operations applied. The general solution is found by the method of the two-sided Laplace transformation and is described by triple integral convolution.
Bibliography:USDOE
ISSN:0011-4626
1572-9486
DOI:10.1007/BF01688531