Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Page 25
... integral for an ionized gas of like par- ticles ( for the moment ) . Using σ = σR 2 -4 ( mm ) " ( a sin ) , where g ... integral ( III.1.1 ) and if the series is cut off at the second term , the expansion ( III.1.2 ) used for Ag and the ...
... integral for an ionized gas of like par- ticles ( for the moment ) . Using σ = σR 2 -4 ( mm ) " ( a sin ) , where g ... integral ( III.1.1 ) and if the series is cut off at the second term , the expansion ( III.1.2 ) used for Ag and the ...
Page 153
... integral , we remember that fo is a constant of the motion . After performing the usual integration by parts m ( 4.5 ) 2x * q + i ( 2x * w + ky + k Sav2 Ω dx ) var fo fo . As before , we must do the time integration , and then integrate ...
... integral , we remember that fo is a constant of the motion . After performing the usual integration by parts m ( 4.5 ) 2x * q + i ( 2x * w + ky + k Sav2 Ω dx ) var fo fo . As before , we must do the time integration , and then integrate ...
Page 186
... integral to an energy integral by means of ( 3.3 ) . In this way , equation ( 3.2 ) takes the form B ∞ ( 3.5 ) d2q ( x ) dx2 dEƒ- ( E ) = 4ле [ 2m ( E + eq ( x ) ) ] * dEf ( E ) [ 2m + ( E — exp ( x ) ) ] + ] · If f and f- are regarded ...
... integral to an energy integral by means of ( 3.3 ) . In this way , equation ( 3.2 ) takes the form B ∞ ( 3.5 ) d2q ( x ) dx2 dEƒ- ( E ) = 4ле [ 2m ( E + eq ( x ) ) ] * dEf ( E ) [ 2m + ( E — exp ( x ) ) ] + ] · If f and f- are regarded ...
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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