## Advanced Plasma Theory, Volume 25 |

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Results 1-3 of 13

Page 184

If we write f/r0=A, (2.8) can be written as d'X IX + i A2\ (2-9> d,- which shows that

the periodic of the oscillations now depends upon their

all particles have the same value of X initially, particles with different equilibrium ...

If we write f/r0=A, (2.8) can be written as d'X IX + i A2\ (2-9> d,- which shows that

the periodic of the oscillations now depends upon their

**amplitude**. Hence, unlessall particles have the same value of X initially, particles with different equilibrium ...

Page 187

It will be noted that it takes a carefully tailored distribution of electron and ion

energies to produce a steady-state wave of large

departures of the distribution functions from these required forms would give rise

to ...

It will be noted that it takes a carefully tailored distribution of electron and ion

energies to produce a steady-state wave of large

**amplitude**. One may infer thatdepartures of the distribution functions from these required forms would give rise

to ...

Page 194

In some problems, it would be convenient to follow the

oscillations and electromagnetic waves as functions of the spatial co-ordinates

rather than of time. This approach is appropriate, for instance, in the study of ...

In some problems, it would be convenient to follow the

**amplitudes**of the plasmaoscillations and electromagnetic waves as functions of the spatial co-ordinates

rather than of time. This approach is appropriate, for instance, in the study of ...

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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