Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Page 78
... zero order in ( 16 ) we need J to zero order which by ( 18 ) involves f ' . Because of ( 11 ) eq . ( 9 ) may be solved for f ' but not uniquely ; only up to a function of t , r , w and q as in the case of the solution for fo ( at first ) ...
... zero order in ( 16 ) we need J to zero order which by ( 18 ) involves f ' . Because of ( 11 ) eq . ( 9 ) may be solved for f ' but not uniquely ; only up to a function of t , r , w and q as in the case of the solution for fo ( at first ) ...
Page 163
... zero - order equilibrium condition of eq . ( 7 ) may be written as ( 15 ) ishs F ' - F " . The usual boundary conditions are that both y and W should vanish at infinity or at conducting boundaries , located at μ = μ1 , μ2 . 3. General ...
... zero - order equilibrium condition of eq . ( 7 ) may be written as ( 15 ) ishs F ' - F " . The usual boundary conditions are that both y and W should vanish at infinity or at conducting boundaries , located at μ = μ1 , μ2 . 3. General ...
Page 209
... zero - frequency part of this function , we see that the term involving the arbitrary coefficient drops out of the expression , leaving ( A - 5.6 ) ( 4 ) ZF ZF H 果汁 Σ b11 ( k ) 1 ab ' ( k ) êt cbt ( k ) b ' ( k ) ĉt ZF where the ...
... zero - frequency part of this function , we see that the term involving the arbitrary coefficient drops out of the expression , leaving ( A - 5.6 ) ( 4 ) ZF ZF H 果汁 Σ b11 ( k ) 1 ab ' ( k ) êt cbt ( k ) b ' ( k ) ĉt ZF where the ...
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