Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Page 4
... equation for f could be obtained by integrating over the Liouville equation as ( I.1.9 ) êt af af af + v + A · Jx 0 , av the collisionless Boltzmann , or Vlasov equation . If , however , there exists an inter - particle potential p ( x ...
... equation for f could be obtained by integrating over the Liouville equation as ( I.1.9 ) êt af af af + v + A · Jx 0 , av the collisionless Boltzmann , or Vlasov equation . If , however , there exists an inter - particle potential p ( x ...
Page 54
... Vlasov equation but the difficulty of solving this equation is reduced by General Stability Theory in Plasma Physics. ...
... Vlasov equation but the difficulty of solving this equation is reduced by General Stability Theory in Plasma Physics. ...
Page 179
... Vlasov - equation approaches in the simple cases considered here , suggests that the hydromagnetic results of Section A together with eq . ( 86 ) may provide guide - lines for the full Vlasov - equation stability analysis , and that ...
... Vlasov - equation approaches in the simple cases considered here , suggests that the hydromagnetic results of Section A together with eq . ( 86 ) may provide guide - lines for the full Vlasov - equation stability analysis , and that ...
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 k₂ KRUSKAL KULSRUD l'axe magnétique limit lowest order m₁ magnetic field Maxwell's equations mode nonlinear obtain Ohm's law P₁ parameter particle 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