Advanced Plasma TheoryM. N. Rosenbluth |
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Page 84
... perturbation . ) The linearized momentum equation is ( 68 ) Q dÆ at2 = + V · P ' ( VxB ' ) XB + JxB ' . ( We remind the reader B ' is the perturbed B at a fixed point ; B * = B ' + · VB is the perturbed quantity following . ) Now P ' P ...
... perturbation . ) The linearized momentum equation is ( 68 ) Q dÆ at2 = + V · P ' ( VxB ' ) XB + JxB ' . ( We remind the reader B ' is the perturbed B at a fixed point ; B * = B ' + · VB is the perturbed quantity following . ) Now P ' P ...
Page 172
... perturbation . For the three « resistive » modes , lines of force that are initially distinct link up during the perturbation . These modes have no counterpart in the infinite - conductivity limit and disappear alto- gether , their ...
... perturbation . For the three « resistive » modes , lines of force that are initially distinct link up during the perturbation . These modes have no counterpart in the infinite - conductivity limit and disappear alto- gether , their ...
Page 187
... perturbation in comparison with the linear terms . The procedure will then be to work to the lowest order in a perturbation expansion which will yield nonlinear re- sults [ 4 ] . The detailed mathematical steps are given in Appendices I ...
... perturbation in comparison with the linear terms . The procedure will then be to work to the lowest order in a perturbation expansion which will yield nonlinear re- sults [ 4 ] . The detailed mathematical steps are given in Appendices I ...
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