Advanced Plasma TheoryM. N. Rosenbluth |
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Page 188
... vanish identically , so that the lowest - order term is S2 ) which leads to a linear equation of motion of the system . Formulas for functions appearing in ( 4.2 ) are derived in Appendix I , and the linear theory is sketched in ...
... vanish identically , so that the lowest - order term is S2 ) which leads to a linear equation of motion of the system . Formulas for functions appearing in ( 4.2 ) are derived in Appendix I , and the linear theory is sketched in ...
Page 254
... vanish more rapidly than any power of the parameter of smallness , i.e. , the relative change of the field over the Larmor radius . This does not imply that it must be a rigorous constant . For instance , Ac exp [ -1/2 ] has this ...
... vanish more rapidly than any power of the parameter of smallness , i.e. , the relative change of the field over the Larmor radius . This does not imply that it must be a rigorous constant . For instance , Ac exp [ -1/2 ] has this ...
Page 258
... vanish . Note from the equations vanish since S1 and W1 m Equation ( 19 ) with ( 21 ) expresses S , in terms of lower orders Sm and W and their derivatives . . Similarly eq . ( 20 ) with ( 22 ) expresses W , in terms of S and lower ...
... vanish . Note from the equations vanish since S1 and W1 m Equation ( 19 ) with ( 21 ) expresses S , in terms of lower orders Sm and W and their derivatives . . Similarly eq . ( 20 ) with ( 22 ) expresses W , in terms of S and lower ...
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