Advanced Plasma TheoryM. N. Rosenbluth |
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Page 159
M. N. Rosenbluth. Instabilities due to Finite Resistivity or Finite Current - Carrier Mass . H. P. FURTH Lawrence Radiation Laboratory Livermore , Cal . This lecture series will be composed ... Finite Resistivity or Finite Current-Carrier ...
M. N. Rosenbluth. Instabilities due to Finite Resistivity or Finite Current - Carrier Mass . H. P. FURTH Lawrence Radiation Laboratory Livermore , Cal . This lecture series will be composed ... Finite Resistivity or Finite Current-Carrier ...
Page 160
... finite - conductivity region . In Section 5 , we find solutions for the finite - conductivity region , which , combined with the boundary condi- tions , give us an eigenvalue relation that determines the instability growth rates ...
... finite - conductivity region . In Section 5 , we find solutions for the finite - conductivity region , which , combined with the boundary condi- tions , give us an eigenvalue relation that determines the instability growth rates ...
Page 169
... finite for finite 4. Hence for any given 4 ' , as obtained from eq . ( 21 ) , there is an infinite sequence of eigenvalues 41 , 2 , 3 , .... There is also an eigenvalue below , which moves to 0 as 4 ' → ∞ , while be- comes large . 2 ...
... finite for finite 4. Hence for any given 4 ' , as obtained from eq . ( 21 ) , there is an infinite sequence of eigenvalues 41 , 2 , 3 , .... There is also an eigenvalue below , which moves to 0 as 4 ' → ∞ , while be- comes large . 2 ...
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 KRUSKAL KULSRUD l'axe magnétique limit lowest order magnetic field Maxwell's equations mode nonlinear obtain Ohm's law P₁ parameter particle périodique 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