Effect of an electron current along the magnetic field on the development of ionization instability in a low temperature plasma

Zampaglione, V.

doi:10.1088/0032-1028/12/1/003

Cited by 5 publications

(2 citation statements)

References 1 publication

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“…Under these circumstances, not only is the co; dependence close to the opposite of that shown in Eq. (17), but the direction of maximum growth rate is essentially opposite to that which single fluid theory has predicted! As it turns out, these circumstances occur whenever electrothermal waves are also unstable.…”

Section: Magnetoacoustic Wave Limitmentioning

confidence: 79%

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Magnetohydrodynamic instabilities in a weakly ionized, radiating plasma

Hougen

McCune

1971

AIAA Journal

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A unified, linear theory is formulated for MHD waves at low magnetic Reynolds number, propagating transverse to the magnetic field in a weakly ionized, radiating plasma. The set of equations obtained from a two-fluid model yields a fifth-order dispersion relation whose roots correspond to four waves: magnetoacoustic (a paired wave), thermal, electrothermal, and "ionization-rate." To bring out the physics of each of these waves, simplifying assumptions are made, and "simple" analytical wave solutions are found. By taking advantage of the wide separation of the roots in the complex plane, "distinct" wave solutions are obtained in which many limitations of the "simple" wave solutions are absent and which are in excellent agreement with the roots of the full dispersion relation, obtained numerically. Both thermal and magnetoacoustic waves are shown to require a two-fluid model for proper description. In particular, the latter mode requires the inclusion of the rate of change of electron enthalpy for wavelengths < 0.1 m, at typical MHD generator conditions. The electrothermal wave instability region is much larger than previously thought, whereas the "ionization rate wave" is always stable.

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Section: Magnetoacoustic Wave Limitmentioning

confidence: 79%

“…si sin0 - '}] (17) As can be seen from Eq. (17), under these circumstances only the normal wave damping, cr 0 (u g X B 0 ) X B 0 (i.e., the "1") and the heat conduction and radiation terms damp waves in all directions.…”

Section: Magnetoacoustic Wave Limitmentioning

confidence: 95%

Magnetohydrodynamic instabilities in a weakly ionized, radiating plasma

Hougen

McCune

1971

AIAA Journal

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Interchange stability of an axisymmetric, average minimum-B magnetic mirror

Ferron

1983

The Physics of Fluids

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An axisymmetric magnetic mirror with large diameter and easily variable mirror ratio is described. The magnetic field configuration is a simple mirror with an average minimum-B field region on the outer surface. Experimental results are given which demonstrate that the surface field region ensures interchange stability. Stability can be maintained with both positive and negative radial plasma pressure gradients provided that the product of the pressure gradient and specific flux volume gradient is positive.

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Dynamic stabilization of the electrothermal instability

Uncles¹,

Nelson²

1970

Plasma Phys.

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Effect of an electron current along the magnetic field on the development of ionization instability in a low temperature plasma

Cited by 5 publications

References 1 publication

Magnetohydrodynamic instabilities in a weakly ionized, radiating plasma

Magnetohydrodynamic instabilities in a weakly ionized, radiating plasma

Interchange stability of an axisymmetric, average minimum-B magnetic mirror

Dynamic stabilization of the electrothermal instability

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