Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Results 1-3 of 18
Page 75
... order equation , but must be taken to solve ( 11 ) . Incidentally we know that ( 12 ) дно дно Fo + r⋅ VFo + w + ġ ... lowest order in 1 / e . The right - hand side of these equations represent the time derivatives averaged over a ...
... order equation , but must be taken to solve ( 11 ) . Incidentally we know that ( 12 ) дно дно Fo + r⋅ VFo + w + ġ ... lowest order in 1 / e . The right - hand side of these equations represent the time derivatives averaged over a ...
Page 78
... order in ( 16 ) to find E / dt ( strictly speaking ( 16 ) is three equations ) . The component parallel to n is ... lowest order . ( 16 ) and ( 16 ) are of different orders of course . ( 17 ) is taken to minus first and zeroth order but ...
... order in ( 16 ) to find E / dt ( strictly speaking ( 16 ) is three equations ) . The component parallel to n is ... lowest order . ( 16 ) and ( 16 ) are of different orders of course . ( 17 ) is taken to minus first and zeroth order but ...
Page 263
... order gives -- ( 13 ) F = R ̧ · VE + Å ‚ × B + Ŕ × ( R ̧ · VB ) — Ỡ R ̧ — 2Ċ Ř1 + O ( ɛ ) . This together with ( 12 ) gives to lowest order a first - order differential equation for R1 . Since R , has already been determined up to a ...
... order gives -- ( 13 ) F = R ̧ · VE + Å ‚ × B + Ŕ × ( R ̧ · VB ) — Ỡ R ̧ — 2Ċ Ř1 + O ( ɛ ) . This together with ( 12 ) gives to lowest order a first - order differential equation for R1 . Since R , has already been determined up to a ...
Common terms and phrases
adiabatic invariant amplitude approximation Boltzmann equation boundary conditions boundary layer calculated cathode coefficient collision components consider constant contraction corresponds courbe critère current density d³k d³v Debye length derived differential equations discharge dispersion relation distribution function eigenvalue electric field electrostatic energy principle equations of motion equilibrium exp[i(k finite fluid theory frequency given Hence instability integral interaction ionized k₁ k₂ KRUSKAL KULSRUD l'axe magnétique limit lowest order m₁ magnetic field Maxwell's equations mode nonlinear obtain Ohm's law P₁ parameter particle perturbation Phys plasma oscillations plasma physics Poisson's equation potential problem quantities R₁ radial region Rendiconti S.I.F. satisfied saturation current solution solving stabilité stability temperature thermal tion v₁ values variables vector velocity voisinage waves in plasmas zero zero-order Απ