## 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-Planek 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-Planek equation [6] for the Boltzmann

distribution function of each particle and

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

Page 75

where we use jss&y = w(I — nn) I the unit dyadic, in the first equation, and also

the notation ab:Vc = a (6 Vc) . Combining ... To find the behavior of a = (E x B)jli\ n

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

where we use jss&y = w(I — nn) I the unit dyadic, in the first equation, and also

the notation ab:Vc = a (6 Vc) . Combining ... To find the behavior of a = (E x B)jli\ n

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

**Maxwell's equation**to lowest order.Page 77

M. N. Rosenbluth. is the density. Hence by (21) and (20) or 77' = IT where NğU,=

2nlqF°dqdw . Thus

=0 ,. ZeJF°q. (23) ^eiFoqdwdq^O. It is easily shown from (11) that the time ...

M. N. Rosenbluth. is the density. Hence by (21) and (20) or 77' = IT where NğU,=

2nlqF°dqdw . Thus

**Maxwell's equations**to minus first order give (22) J,e\F° dwdq=0 ,. ZeJF°q. (23) ^eiFoqdwdq^O. It is easily shown from (11) that the time ...

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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