Advanced Plasma TheoryM. N. Rosenbluth |
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Page 3
... motion for f , the equation of transport . N There are several sorts of distribution function f , ranging from the ... equations of motion is estab- lished by observing that if the system is given as in the state specified by so that x1 ...
... motion for f , the equation of transport . N There are several sorts of distribution function f , ranging from the ... equations of motion is estab- lished by observing that if the system is given as in the state specified by so that x1 ...
Page 78
... equation of motion . ° is found from ( 17 ) to zero order . Solving ( 28 ) for J we may substitute in ( 16 ) to find JE1 / t . 1 1 This would complete our system of equations for zeroth order quantities . This system is ( 11 ) , ( 15 ) ...
... equation of motion . ° is found from ( 17 ) to zero order . Solving ( 28 ) for J we may substitute in ( 16 ) to find JE1 / t . 1 1 This would complete our system of equations for zeroth order quantities . This system is ( 11 ) , ( 15 ) ...
Page 199
... equations of motion . Since § , = 0 is a solution of the equations of motion , we also expect that S may be ignored , and it may be verified by calculation that S0 . We obtain , for the next three terms , the following formulas : 1 ( A ...
... equations of motion . Since § , = 0 is a solution of the equations of motion , we also expect that S may be ignored , and it may be verified by calculation that S0 . We obtain , for the next three terms , the following formulas : 1 ( A ...
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