## Advanced Plasma Theory, Volume 25 |

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Page 39

The Kinetic Equation in a

Liouville equation to describe the dynamics of a complete system, and again one

may ...

The Kinetic Equation in a

**Magnetic Field**. 1. - Fokker-PIanck equation in a**magnetic field**. As in the absence of a**magnetic field**, it is possible to use theLiouville equation to describe the dynamics of a complete system, and again one

may ...

Page 148

Q -f- kfu — w kzvth Insertion of (13) into the Poisson's equation finally allowes us

to examine the 2-stream instability in the presence of

also kept different T, and T± a similar form for the Harris instability could easily ...

Q -f- kfu — w kzvth Insertion of (13) into the Poisson's equation finally allowes us

to examine the 2-stream instability in the presence of

**magnetic field**. If we hadalso kept different T, and T± a similar form for the Harris instability could easily ...

Page 254

For instance, in Fermi's theory [1] for the acceleration of cosmic rays, it is

assumed that the magnetic moment of a spiraling particle in a varying

one to ...

For instance, in Fermi's theory [1] for the acceleration of cosmic rays, it is

assumed that the magnetic moment of a spiraling particle in a varying

**magnetic****field**remains constant. Combined with the conservation of energy this enablesone to ...

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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