## Advanced Plasma Theory, Volume 25 |

### From inside the book

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Page 64

For a simple example of an energy principle consider the one-dimensional

motion of a particle in a potential V: is the condition for

motion about

unstable.

For a simple example of an energy principle consider the one-dimensional

motion of a particle in a potential V: is the condition for

**equilibrium**. A smallmotion about

**equilibrium**is given by If d2V/dx* is negative the**equilibrium**isunstable.

Page 138

However we know on general grounds that any collective motions which do exist,

like microinstabilities, will at least move in the direction of thermodynamic

motions of ...

However we know on general grounds that any collective motions which do exist,

like microinstabilities, will at least move in the direction of thermodynamic

**equilibrium**. One may pose then the question whether the purely collectivemotions of ...

Page 152

We also choose the simplest geometry: magnetic field in the z direction, and

plasma parameters and field strength varying with x- Thus, for the

field, we can take, locally, (4.1) B = B0(l + eX) and construct arbitrary

...

We also choose the simplest geometry: magnetic field in the z direction, and

plasma parameters and field strength varying with x- Thus, for the

**equilibrium**field, we can take, locally, (4.1) B = B0(l + eX) and construct arbitrary

**equilibrium**...

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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