Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Page 78
... quantities which are necessary conditions for the solu- tions of the first order equations have been obtained . Thus , we have attained our goal of determining a system of equations for the zeroth - order quantities . In these notes we ...
... quantities which are necessary conditions for the solu- tions of the first order equations have been obtained . Thus , we have attained our goal of determining a system of equations for the zeroth - order quantities . In these notes we ...
Page 133
... quantities . If we had solved this problem then we could judge by the imaginary part of the eigenvalues whether a given mode grows or decays , that means whether the mode is unstable or stable . This question is of interest for the ...
... quantities . If we had solved this problem then we could judge by the imaginary part of the eigenvalues whether a given mode grows or decays , that means whether the mode is unstable or stable . This question is of interest for the ...
Page 185
... quantities then become time - independent . The equations governing the phenomenon are then the Boltzmann equation for ions and electrons ( the collisions being ignored ) ( 3.1 ) af + ( x , v ) e dq ( x ) dƒ ± ( x , v ) + v 土- 0 , дх m ...
... quantities then become time - independent . The equations governing the phenomenon are then the Boltzmann equation for ions and electrons ( the collisions being ignored ) ( 3.1 ) af + ( x , v ) e dq ( x ) dƒ ± ( x , v ) + v 土- 0 , дх m ...
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