Advanced Plasma TheoryM. N. Rosenbluth |
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Page 5
... Boltzmann's equation and determining the transport coefficients . 2. Hydrodynamic equations from the transport equation . As a preliminary to any attempt to solve the Boltzmann equation we will use it to form the hydrodynamic equations ...
... Boltzmann's equation and determining the transport coefficients . 2. Hydrodynamic equations from the transport equation . As a preliminary to any attempt to solve the Boltzmann equation we will use it to form the hydrodynamic equations ...
Page 24
... Equation . Introduction . Having shown how the Boltzmann equation leads to the appearance of transport coefficients and to phenomena associated with « real » fluids , we turn to the prior question , that of determining the correct form ...
... Equation . Introduction . Having shown how the Boltzmann equation leads to the appearance of transport coefficients and to phenomena associated with « real » fluids , we turn to the prior question , that of determining the correct form ...
Page 72
... Boltzmann equation . - The adiabatic theory corresponds to the limit of no collisions and small gyration radius . Therefore we start with the Vlasov or collisionless Boltzmann equation for each kind of particle , ions and electrons ( 1 ) ...
... Boltzmann equation . - The adiabatic theory corresponds to the limit of no collisions and small gyration radius . Therefore we start with the Vlasov or collisionless Boltzmann equation for each kind of particle , ions and electrons ( 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 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