Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Page 64
... equilibrium . A small motion about equilibrium is given by ( 8x ) " = J2V ( 8x ) . dx2 If 2V / 2 is negative the equilibrium is unstable . The sign of d2V / dx2 may be determined by examining the 8W < 0 second variation in § E22 V V ( x ...
... equilibrium . A small motion about equilibrium is given by ( 8x ) " = J2V ( 8x ) . dx2 If 2V / 2 is negative the equilibrium is unstable . The sign of d2V / dx2 may be determined by examining the 8W < 0 second variation in § E22 V V ( x ...
Page 138
... equilibrium . One may pose then the question whether the purely collective motions of the system are in themselves sufficient to produce thermodynamic equilibrium . We will now demonstrate a slightly nontrivial counter - example ...
... equilibrium . One may pose then the question whether the purely collective motions of the system are in themselves sufficient to produce thermodynamic equilibrium . We will now demonstrate a slightly nontrivial counter - example ...
Page 152
... equilibrium field , we can take , locally , ( 4.1 ) B = B。( 1 + εx ) and construct arbitrary equilibrium distribution functions from the constants of the motion V2 and + V / 2 . A particularly simple choice is ( 4.2 ) f No exp [ av ] 1 ...
... equilibrium field , we can take , locally , ( 4.1 ) B = B。( 1 + εx ) and construct arbitrary equilibrium distribution functions from the constants of the motion V2 and + V / 2 . A particularly simple choice is ( 4.2 ) f No exp [ av ] 1 ...
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