## Advanced Plasma Theory, Volume 25 |

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Page 105

MacKeowns formula is based on the

inertia-limited under the influence of their own space-charge field. The

uncertainty included in the application of this formula to the cathode region of the

arc is small ...

MacKeowns formula is based on the

**assumption**that electrons and ions moveinertia-limited under the influence of their own space-charge field. The

uncertainty included in the application of this formula to the cathode region of the

arc is small ...

Page 160

1) The hydromagnetic approximation is

pressure and inertia terms are neglected in Ohm's law, (2) ~ = Vx(rxB)-Vx[^-VxBl .

Ct l±7l J As the analysis will show, these assumptions are violated in the

treatment of a ...

1) The hydromagnetic approximation is

**assumed**to be valid, and the ionpressure and inertia terms are neglected in Ohm's law, (2) ~ = Vx(rxB)-Vx[^-VxBl .

Ct l±7l J As the analysis will show, these assumptions are violated in the

treatment of a ...

Page 161

where g is the mass density and g the acceleration due to gravity. (Allowance for

finite viscosity increases the effective mass density and thus decreases the

growth rates somewhat). 4) Perturbations in plasma resistivity are

result ...

where g is the mass density and g the acceleration due to gravity. (Allowance for

finite viscosity increases the effective mass density and thus decreases the

growth rates somewhat). 4) Perturbations in plasma resistivity are

**assumed**toresult ...

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### Contents

LEZIOM | 1 |

carrier mass | 159 |

hydrodynamique au voisinage dun axe magnetique | 214 |

Copyright | |

2 other sections not shown

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### Common terms and phrases

adiabatic invariant amplitude approximation assumed Boltzmann equation boundary conditions boundary layer calculated cathode charge coefficient collision components consider const constant contraction corresponds courbe critère current density Debye length derived differential equations diffusion discharge dispersion relation distribution function double adiabatic theory eigenvalue electric field electromagnetic waves electrons and ions electrostatic emission energy principle equations of motion equilibrium expand experimental finite fluid theory frequency given Hence inertia-limited instability integral interaction ionized Kruskal Kulsrud l'axe magnétique lignes limit linear theory lowest order magnetic field Maxwell's equations mode negative ions nonlinear obtain Ohm's law parameter particle perturbation Phys plasma oscillations Plasma Physics Poisson's equation potential problem produced quantities radial region satisfied saturation current self-adjointness solution solving stabilité stability surface temperature thermal tion transverse wave values vanish variables vector velocity Vlasov equation waves in plasmas zero zero-order