Proceedings of the International School of Physics "Enrico Fermi.", Volume 25N. Zanichelli, 1953 - Nuclear physics |
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Page 81
... algebra af ( 54 ) at + ( a + qn ) · Vf + vßnn · ▽ α – vß ▽ · α — q2nn : ▽ a + + qn . V + e Dylof m Dt aq = 0 , where D a + α.ν. Dt at In deriving ( 54 ) we had to use ( 40 ) and ( 41 ) to show α Dn Dt 1 - an : Va = -n . ( 55 ) Also ...
... algebra af ( 54 ) at + ( a + qn ) · Vf + vßnn · ▽ α – vß ▽ · α — q2nn : ▽ a + + qn . V + e Dylof m Dt aq = 0 , where D a + α.ν. Dt at In deriving ( 54 ) we had to use ( 40 ) and ( 41 ) to show α Dn Dt 1 - an : Va = -n . ( 55 ) Also ...
Page 88
... ) we have βι W ( 4 , 4 ) = 05 F ( 5 , 1 ) οξ F ( ξ , 1 ) - Σ m -- ( J - ¿ g . ) f dv de dr . q gε The remaining integrations by parts ( on F ) are standard and one obtains after some algebra ( 88 ) SW + J · § 88 R. KULSRUD.
... ) we have βι W ( 4 , 4 ) = 05 F ( 5 , 1 ) οξ F ( ξ , 1 ) - Σ m -- ( J - ¿ g . ) f dv de dr . q gε The remaining integrations by parts ( on F ) are standard and one obtains after some algebra ( 88 ) SW + J · § 88 R. KULSRUD.
Page 89
some algebra ( 88 ) SW + J · § × Q + § · Vp ̧ ▽ • § + where + 2p_ ( nn : V§ — ▽ · § ) 2 + ( P1 − P1 ) [ — nn : ( § · VVG ) + - - + ( nn : V§ ) 2 — ( n · V§ ) 2 — ( n · V§ ) ( V§ • n ) ] + + c ( nn : V§ — ▽ · § ) 2 } dr = ...
some algebra ( 88 ) SW + J · § × Q + § · Vp ̧ ▽ • § + where + 2p_ ( nn : V§ — ▽ · § ) 2 + ( P1 − P1 ) [ — nn : ( § · VVG ) + - - + ( nn : V§ ) 2 — ( n · V§ ) 2 — ( n · V§ ) ( V§ • n ) ] + + c ( nn : V§ — ▽ · § ) 2 } dr = ...
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