Proceedings of the International School of Physics "Enrico Fermi.", Volume 25N. Zanichelli, 1953 - Nuclear physics |
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Page 123
Finally , the substitution of V = mv2 in eq . ( 4.1 ) yields the law governing the energy flux in the discharge . We have a 2e ( 4.9 ) mv2 + ▽ • nv v 2 nX • va = Σ ( v's - v2 ) f ( v . ) f ( v ) , ( c ) · c , d3v , d3v d2 . at m ( 8 ) ...
Finally , the substitution of V = mv2 in eq . ( 4.1 ) yields the law governing the energy flux in the discharge . We have a 2e ( 4.9 ) mv2 + ▽ • nv v 2 nX • va = Σ ( v's - v2 ) f ( v . ) f ( v ) , ( c ) · c , d3v , d3v d2 . at m ( 8 ) ...
Page 139
... substitution from the collisionless Boltzmann equation . So the constancy of S provides a constraint on the possible class of motions . Let us now minimize , with respect to f , the total kinetic energy of the system E mv2 2 fd3x d3v ...
... substitution from the collisionless Boltzmann equation . So the constancy of S provides a constraint on the possible class of motions . Let us now minimize , with respect to f , the total kinetic energy of the system E mv2 2 fd3x d3v ...
Page 238
... substitution ( 14 ) makes ɛ disappear as a coefficient of y " and , in the limit , transforms ( 8 ) into the simpler equation ( 15 ) d2w dz2 dw F1 ( x , w , 0 ) dz This is the boundary layer equation , to be solved with the boundary con ...
... substitution ( 14 ) makes ɛ disappear as a coefficient of y " and , in the limit , transforms ( 8 ) into the simpler equation ( 15 ) d2w dz2 dw F1 ( x , w , 0 ) dz This is the boundary layer equation , to be solved with the boundary con ...
Contents
W B THOMPSON Kinetic theory of plasma | 97 |
Topics in microinstabilities | 137 |
carrier mass | 159 |
Copyright | |
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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 electrons and ions electrostatic energy principle equations of motion equilibrium exp[i(k finite fluid theory frequency given Hence instability integral interaction ionized k₁ KRUSKAL l'axe magnétique limit Liouville function 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 region Rendiconti S.I.F. satisfied saturation current solution solving stabilité stability temperature thermal tion v₁ values variables vector velocity x₁ zero zero-order Απ