Advanced Plasma TheoryM. N. Rosenbluth |
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Page 85
... satisfied is always satisfied by eq . ( 71 ) . Hence , no loss in gene- rality is involved by restriction ( 75 ) . - 36. Stability theory . The stability theory follows closely the fluid theory of stability . The details are given in ...
... satisfied is always satisfied by eq . ( 71 ) . Hence , no loss in gene- rality is involved by restriction ( 75 ) . - 36. Stability theory . The stability theory follows closely the fluid theory of stability . The details are given in ...
Page 86
... satisfy restriction ( 75 ) , and one must be able to determine h from eq . ( 76 ) . It is easily seen that the latter re- quires that ( 75 ) be satisfied by f . In summary the stability problem is re- duced to examining all solutions of ...
... satisfy restriction ( 75 ) , and one must be able to determine h from eq . ( 76 ) . It is easily seen that the latter re- quires that ( 75 ) be satisfied by f . In summary the stability problem is re- duced to examining all solutions of ...
Page 207
... satisfied to this order and that we may satisfy the requirement ( A - 4.7 ) ΗΙ - 0 , by introducing a generating function U1 ( P ,, Q. , t ) which is to satisfy ( A - 4.8 ) Jui at = h ' , and from which P , Q are obtained by means of ...
... satisfied to this order and that we may satisfy the requirement ( A - 4.7 ) ΗΙ - 0 , by introducing a generating function U1 ( P ,, Q. , t ) which is to satisfy ( A - 4.8 ) Jui at = h ' , and from which P , Q are obtained by means of ...
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