Advanced Plasma TheoryM. N. Rosenbluth |
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Page 64
... equilibrium . A small motion about equilibrium is given by ( 8x ) " = J2 V dx2 ( 8x ) . If V / is negative the equilibrium is unstable . The sign of d2V / or may be determined by examining the second variation in § 8W < 0 V ( x + ...
... equilibrium . A small motion about equilibrium is given by ( 8x ) " = J2 V dx2 ( 8x ) . If V / is negative the equilibrium is unstable . The sign of d2V / or may be determined by examining the second variation in § 8W < 0 V ( x + ...
Page 83
... equilibrium . We first consider the case of a static equilibrium satisfying the equations of the adiabatic theory given in Section 3'3 . The side conditions now become full equations . Denoting the equilibrium f by g we find from the ...
... equilibrium . We first consider the case of a static equilibrium satisfying the equations of the adiabatic theory given in Section 3'3 . The side conditions now become full equations . Denoting the equilibrium f by g we find from the ...
Page 152
... equilibrium field , we can take , locally , ( 4.1 ) B = B。( 1 + ε % ) · and construct arbitrary equilibrium distribution functions from the constants of the motion V2 and + V / 2 . A particularly simple choice is ( 4.2 ) = α No exp ...
... equilibrium field , we can take , locally , ( 4.1 ) B = B。( 1 + ε % ) · and construct arbitrary equilibrium distribution functions from the constants of the motion V2 and + V / 2 . A particularly simple choice is ( 4.2 ) = α No exp ...
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