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Fundamentals of Theoretical Plasma Physics

Author:
Lee, Hee J., 1941-
Published:
Singapore : World Scientific Publishing Co Pte Ltd, 2019.
Physical Description:
1 online resource (726 pages)
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Contents:
Intro; Contents; Introduction; About the Author; 1 Boltzmann equation; 1.1. Heuristic derivation of Boltzmann equation; 1.2. Collision term; 1.3. Chapman-Enskog solution of Boltzmann equation; 1.4. Simple relaxation model of the collision term; 1.5. Moment equations; 1.6. Ideal two-fluid equations; 1.7. Fokker-Planck equation, Landau collision integral; 1.8. Braginskii's two-fluid equations; References; 2 Magnetohydrodynamics; 2.1. Equations of plasma as a lumped single fluid; 2.2. Generalized Ohm's law; 2.3. Kinematics of continuum mechanics, 2.4. MHD: Dynamics of electrically conducting fluid2.5. Magnetohydrodynamic momentum equation; 2.6. Ohm's law; 2.7. Magnetic pressure and magnetic tension; 2.8. Energy equation; 2.9. Kinematics of magnetic field in a conducting fluid; 2.10. Fluid description of collisionless plasma in a strong magnetic field; 2.11. Lagrangian description of fluid motion; 2.12. Lagrangian operator; 2.13. Waves in ideal MHD flow; 2.14. Derivation of MHD waves from two-fluid equations; References; 3 Single particle motion in electric and magnetic fields; 3.1. Radius of curvature vector; 3.2. E × B drift, 3.3. Equation for guiding center3.4. Magnetic moment and ∇B drift; 3.5. Force acting on a charge having a magnetic moment; 3.6. Curvature drift; 3.7. Adiabatic invariant; 3.8. Multiple time perturbation analysis; 3.9. Adiabatic invariant derived from Hamiltonian; 4 Basic equations of Vlasov-Maxwell plasma; 4.1. Vlasov equation; 4.2. Maxwell equations; 4.3. Conductivity, susceptibility, dielectric permittivity; 4.4. Dispersion relation; 4.5. Causality; 4.5.1. Causality and susceptibility; 4.5.2. Kramers-Kronig relations; 4.5.3. Hilbert transform, 4.6. Causality and collisionless damping of plasma wave4.6.1. Causality and Landau damping; 4.6.2. Application of Kramers-Kronig relations; 4.6.3. Collisionless damping of ion acoustic wave derived from cold fluid equation; 4.6.4. Plemelj formula as analytic continuation; 4.6.5. Useful expression for electron plasma wave Landau damping rate; 4.6.6. Notes added to Chapter 4; 5 Mathematical theory of Vlasov equation; 5.1. Rudimentary linear analysis; 5.1.1. Vlasov-Poisson system; 5.1.2. Self-consistency; 5.1.3. Convolution; 5.2. Characteristic method; 5.2.1. Mathematics of characteristic method, and 5.2.2. Vlasov equation vs fluid equation5.2.3. Oscillating frame; 5.3. Laplace transform method; 5.3.1. Laplace transform; 5.3.2. Initial value problem of Vlasov-Poisson equations; 5.4. Plasma dispersion function; 5.4.1. Dielectric function of electrostatic wave; 5.4.2. Plasma dispersion function Z(ζ); 5.5. Evaluation of the dispersion relation; 5.5.1. Cold plasma wave; 5.5.2. Langmuir wave or electron plasma wave; 5.5.3. Electromagnetic wave; 5.5.4. Ion acoustic wave; 5.5.5. Ion-acoustic instability as a two-stream instability; 5.6. Physics of Landau damping; 5.6.1. Resonant particles
ISBN:
9789813276765
9813276762
Note:
5.6.2. Lagrangian vs Eulerian
Endowment Note:
Paterno Libraries Endowment
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