Advanced Plasma TheoryM. N. Rosenbluth |
From inside the book
Results 1-3 of 54
Page 169
... obtain from eqs . ( 32 ) and ( 43 ) ∞ ∞ ( 45 ) Δ ' = ΩΣ 4 d0 , n = 0 2 + 1 Λ A− ( n + 1 ) Using the integrals do1un - ( 46 ) ∞ d0101 88 ∞ 72 = 24 0 , ' ( n / 2 + 1 ) ] T ( n / 2 + 1 ) 9 18 ∞ d'2 " ( 02- n even n odd = 0 , - = 24 T ...
... obtain from eqs . ( 32 ) and ( 43 ) ∞ ∞ ( 45 ) Δ ' = ΩΣ 4 d0 , n = 0 2 + 1 Λ A− ( n + 1 ) Using the integrals do1un - ( 46 ) ∞ d0101 88 ∞ 72 = 24 0 , ' ( n / 2 + 1 ) ] T ( n / 2 + 1 ) 9 18 ∞ d'2 " ( 02- n even n odd = 0 , - = 24 T ...
Page 212
... obtain ( A - 6.17 ) = 1 e i at mc : I ( 1 ) L1 kiki ( ki1 — ki2 ) e · k11 L1 T We may obtain a companion equation for the slow rate of change of the transverse amplitude by picking out the terms of ( A - 6.5 ) involving exp [ -2io , t ] ...
... obtain ( A - 6.17 ) = 1 e i at mc : I ( 1 ) L1 kiki ( ki1 — ki2 ) e · k11 L1 T We may obtain a companion equation for the slow rate of change of the transverse amplitude by picking out the terms of ( A - 6.5 ) involving exp [ -2io , t ] ...
Page 263
... obtain ( 14 ) n2Ċ2 R1 = nĊ R , XB + G2 , Rn where to lowest order ( zeroth ) G , is a polynomial in the R , ( 1 < p < n − 1 ) with space derivatives of B as coefficients . Since Ċ as previously determined is not an eigenvalue of the ...
... obtain ( 14 ) n2Ċ2 R1 = nĊ R , XB + G2 , Rn where to lowest order ( zeroth ) G , is a polynomial in the R , ( 1 < p < n − 1 ) with space derivatives of B as coefficients . Since Ċ as previously determined is not an eigenvalue of the ...
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