Advanced Plasma TheoryM. N. Rosenbluth |
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Page 180
... theory after linear theory not because this is the logical order but because it is the expedient one . Nonlinear theory of waves in plasmas , or of any other nontrivial phenomenon , does not consist of a new sweeping treatment of the ...
... theory after linear theory not because this is the logical order but because it is the expedient one . Nonlinear theory of waves in plasmas , or of any other nontrivial phenomenon , does not consist of a new sweeping treatment of the ...
Page 181
... theory of plasma oscillations [ 4 ] . One assumes that amplitudes are small ; not so small that linear theory is perfectly acceptable , but sufficiently small that the departure from linearity may be treated by a perturbation technique ...
... theory of plasma oscillations [ 4 ] . One assumes that amplitudes are small ; not so small that linear theory is perfectly acceptable , but sufficiently small that the departure from linearity may be treated by a perturbation technique ...
Page 188
... 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 Appendix II . The linear equations derivable from S2 are found to be ( 4.3 ) d2 , + o ...
... 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 Appendix II . The linear equations derivable from S2 are found to be ( 4.3 ) d2 , + o ...
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