Berechnung der Ionisationswellen in der Edelgas‐Starkstromsäule bei niedrigen Drücken

Wojaczek, K.

doi:10.1002/ctpp.19710110408

Cited by 27 publications

(10 citation statements)

References 20 publications

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“…The competition of electron-atom and electron-electron collisions results in strongly nonlinear (exponential) dependences of the ionization rates on electron density [14]. These nonlinearities may be the reason for the occurrence of ionization waves within the framework of local hydrodynamic model of stratification at low pressure and large currents in argon [15,16].…”

Section: Introductionmentioning

confidence: 99%

On the non-local electron kinetics in spatially periodic striation-like fields

Golubovskiǐ

Maiorov

Porokhova

et al. 1999

J. Phys. D: Appl. Phys.

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The fundamental questions of the formation of the electron distribution function are investigated by numerically solving the Boltzmann kinetic equation in sinusoidal modulated fields for two limiting cases; domination of either elastic or inelastic energy loss in the electron energy balance. The role of non-local effects is demonstrated in the formation of both the distribution function and macroscopic properties, such as electron density and average energy, excitation and ionization rates. The phase shifts of these parameters are considered, which are responsible for the propagation of the ionization wave. Stratification mechanisms differ considerably for these two cases and are determined by the peculiarities of the electron non-local kinetics, whereas the fluid models of striations are inapplicable. Precise calculations are carried out for a discharge in neon for two cases observed in real experiments at low and intermediate pressures and small currents.

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Section: Introductionmentioning

confidence: 99%

On the non-local electron kinetics in spatially periodic striation-like fields

Golubovskiǐ

Maiorov

Porokhova

et al. 1999

J. Phys. D: Appl. Phys.

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“…Webb's Fig. 11 ( p = 0.5 Torr), the h i c k appeared a t I = 2.3 A while the critical current for Rp = 0.075 cm Torr is 2.26 A, which is obtained by extrapolating the data in [16]. The value of 0.26 A in Fig.…”

Section: Sat0mentioning

confidence: 77%

Ionization wave as an Instability — Evolution and Nonlinear Effect

Sato

1973

Contrib Plasma Phys

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Evolution from the linear growth to the nonlinearly saturated state of ionization waves (moving striations) is investigated from a viewpoint of an instability which appears in a plasma. The experiments were performed observing backward waves excited below the upper critical current I, in xenon, argon, and argon-mercury gases at pressures of the order of Tom. It is found that (1) the behavior of the evolution obeys the Landau amplitude equation; (2) the saturated amplitude does not depend on an initial value, but only on plasma parameters; (3) the linear growth and squared saturation level are proportional to the excess over I,, and when frequency-controlled, they have a parabolic dependence on the frequency; and (4) nonuniform axial changes in the dc state due to the nonlinear effects appear in a form of enhanced ionization in the plasma where the electron temperature and density are increased. The way of these behavior can be applied to a large number of spatially or temporally unstable modes.

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“…Since the basic equations used by Wojaczek (1971) are simpler than those used by others (Duncan and Forrest 1971), his equations are here modified to include the metastable atoms to explain the r and p waves. The following assumptions are used: (1) the charged particles diffuse ambipolar to the tube wall and disappear there; (2) the charged particles are treated as being quasi-neutral; Since the disturbance by the wave is treated in the axially uniform positive column without ends, V e along the tube axis is expressed by (Wojaczek 1971) The radial distribution of metastable atoms is assumed to be governed by the 0th order Bessel function as that of electrons or ions. 20, and Zom are expanded by U, (Duncan and Forrest 1971).…”

Section: Basic Equationsmentioning

confidence: 99%

Two modes of moving striations in neon glow discharges

Ohe

Takeda

1978

J. Phys. D: Appl. Phys.

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Three kinds of moving striations, called p, r and s waves, are known to be excited at low discharge current in positive columns of glow discharges in neon gas. The dispersion relation for r and p waves numerically calculated from the basic equations, which are modified from Wojaczek's (1971) to include the metastable atoms, agree fairly well with the experimental results. The frequency of the r wave decreases with increase in the discharge current, while that of the p increases. The frequency dependence of the gas pressure for both waves is inverse. The calculated gas temperature dependence of the frequency for both waves also agrees well with the experimental values for gas temperatures from 80 to 350K.

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Berechnung der Ionisationswellen in der Edelgas‐Starkstromsäule bei niedrigen Drücken

Cited by 27 publications

References 20 publications

On the non-local electron kinetics in spatially periodic striation-like fields

On the non-local electron kinetics in spatially periodic striation-like fields

Ionization wave as an Instability — Evolution and Nonlinear Effect

Two modes of moving striations in neon glow discharges

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