Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
From inside the book
Results 1-3 of 10
Page 133
... eigenvalue problem which defines a whole set of functions and the eigenvalues . We should remember that in general both eigenfunctions and the eigenvalue itself may be complex quantities . If we had solved this problem then we could ...
... eigenvalue problem which defines a whole set of functions and the eigenvalues . We should remember that in general both eigenfunctions and the eigenvalue itself may be complex quantities . If we had solved this problem then we could ...
Page 169
... eigenvalues 4 ~ 1 , 2 , 3 , .... There is also an eigenvalue below , which moves to 0 as ' → ∞ , while be- comes large . 2 ) When 4 « } , eq . ( 47 ) reduces to ( 49 ) J ' 2 ( 12 + 13881 ) , In that case 2 is to be determined by the ...
... eigenvalues 4 ~ 1 , 2 , 3 , .... There is also an eigenvalue below , which moves to 0 as ' → ∞ , while be- comes large . 2 ) When 4 « } , eq . ( 47 ) reduces to ( 49 ) J ' 2 ( 12 + 13881 ) , In that case 2 is to be determined by the ...
Page 170
... eigenvalues 4 lie slightly below the points 1 , 3 , 2 , For the fastest growing mode , which corresponds to a solution U that ... eigenvalue lying below moves toward 0 as a → 0 . This mode goes over into the « tearing » mode ( see below ) ...
... eigenvalues 4 lie slightly below the points 1 , 3 , 2 , For the fastest growing mode , which corresponds to a solution U that ... eigenvalue lying below moves toward 0 as a → 0 . This mode goes over into the « tearing » mode ( see below ) ...
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