## Advanced Plasma Theory, Volume 25 |

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Page 55

but the difficulty of solving this equation is reduced by the assumption of small

gyration radius. ... be the Fokker-Planck equation [6] for the Boltzmann

distribution function of each particle and

electromagnetic field.

but the difficulty of solving this equation is reduced by the assumption of small

gyration radius. ... be the Fokker-Planck equation [6] for the Boltzmann

distribution function of each particle and

**Maxwell's equations**for theelectromagnetic field.

Page 58

To summarize our equations are now Continuity : The other two equations give q

and E which we do not need. ... Energy : (11) At \qy) Maxwell-Ohm: (12) VB = 0, (

13) ^ = Vx(FxB), CI (14) VxB = J.

To summarize our equations are now Continuity : The other two equations give q

and E which we do not need. ... Energy : (11) At \qy) Maxwell-Ohm: (12) VB = 0, (

13) ^ = Vx(FxB), CI (14) VxB = J.

**Maxwell's equations**: (38) V-B = 0, (39) VxB = J,Page 75

where we use | aadq> = w(I — nn) I the unit dyadic, /. in the first equation, and

also the notation ab.Vc = a-(b-Vc) . ... To find the behavior of a = (E x B), R2, n =

Bj\B\ and e = (E . n)n we must express

where we use | aadq> = w(I — nn) I the unit dyadic, /. in the first equation, and

also the notation ab.Vc = a-(b-Vc) . ... To find the behavior of a = (E x B), R2, n =

Bj\B\ and e = (E . n)n we must express

**Maxwell's equation**to lowest order.### What people are saying - Write a review

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### Contents

LEZIOM | 1 |

carrier mass | 159 |

hydrodynamique au voisinage dun axe magnetique | 214 |

Copyright | |

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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