## Advanced Plasma Theory, Volume 25 |

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Page 7

To derive meaningful hydrodynamic equations it is useful to restrict attention first

to those situations in which the rate of change of the distribution function is slow

so that the collision

...

To derive meaningful hydrodynamic equations it is useful to restrict attention first

to those situations in which the rate of change of the distribution function is slow

so that the collision

**frequency**is much greater than any hydrodynamic**frequency**,...

Page 122

This is shown by a simple transformation (4.5) I j | (V- »)e,e,(«i)/,(«,)/(«) d,*,d,cd'fi=

J* J (*,-«) ^ AM/WdH^dH., <3> <3> <~2I <3*1 <3I introducing the collision

the ...

This is shown by a simple transformation (4.5) I j | (V- »)e,e,(«i)/,(«,)/(«) d,*,d,cd'fi=

J* J (*,-«) ^ AM/WdH^dH., <3> <3> <~2I <3*1 <3I introducing the collision

**frequency**(4.6) Vi(ct) =Jrt, e,(l - cos X) d2Q , in where % is the deflection angle inthe ...

Page 148

In a recent experiment, d'Angelo and coworkers have observed oscillations near

the ion cyclotron

parallel to the magnetic field exceeds about three times the ion thermal velocity.

In a recent experiment, d'Angelo and coworkers have observed oscillations near

the ion cyclotron

**frequency**in a tepid Cs plasma when the electron drift velocityparallel to the magnetic field exceeds about three times the ion thermal velocity.

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adiabatic invariant amplitude approximation assumed Boltzmann equation boundary conditions boundary layer calculated cathode charge coefficient collision column components consider const constant contraction corresponds courbe current density Debye length derived differential equations diffusion discharge dispersion relation distribution function double adiabatic theory effect eigenvalue electric field electromagnetic waves electrostatic energy principle equations of motion equilibrium expand experimental finite fluid theory frequency given Hence hydromagnetic 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 pressure problem produced quantities radial region satisfied saturation current self-adjointness solution solving stability surface temperature thermal tion transverse wave values vanish variables vector velocity Vlasov equation waves in plasmas zero zero-order