Advanced Plasma TheoryM. N. Rosenbluth |
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Page 3
... distribution function f , ranging from the Liouville function F ( 1 , 2 , ... , Xx , C1 , ... , ) to the Boltzmann single - particle function f ( x , v ) . The Liouville function is a function of the complete set of micro co- ordinates ...
... distribution function f , ranging from the Liouville function F ( 1 , 2 , ... , Xx , C1 , ... , ) to the Boltzmann single - particle function f ( x , v ) . The Liouville function is a function of the complete set of micro co- ordinates ...
Page 21
... distribution the Maxwellian , this is also valid for slow motions in strong fields . The distribution function is written as f = fo + f1 + f2 , where Dfowofi / cg so that f1 = = 1 cxb Vlog T - m kT - ( e × b ) · d − ( V_V_ × b — b × VV ) ...
... distribution the Maxwellian , this is also valid for slow motions in strong fields . The distribution function is written as f = fo + f1 + f2 , where Dfowofi / cg so that f1 = = 1 cxb Vlog T - m kT - ( e × b ) · d − ( V_V_ × b — b × VV ) ...
Page 187
... distribution function of the trapped electrons . It can be readily solved by the Laplace transformation , yielding ... distribution function . By considering various trapping regions of a wave of arbitrary form suc- cessively , filling a ...
... distribution function of the trapped electrons . It can be readily solved by the Laplace transformation , yielding ... distribution function . By considering various trapping regions of a wave of arbitrary form suc- cessively , filling 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