Plasma physics : an introduction to the theory of astrophysical, geophysical, and laboratory plasmas /

Plasma Physics presents an authoritative and wide-ranging pedagogic study of the 'fourth' state of matter. The constituents of the plasma state are influenced by electric and magnetic fields, and in turn also produce electric and magnetic fields. This fact leads to a rich array of properti...

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Bibliographic Details
Main Author: Sturrock, Peter A. (Author)
Format: eBook
Language:English
Published: Cambridge : Cambridge University Press, 1994.
Subjects:
Online Access:CONNECT
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Table of Contents:
  • 1. Introduction
  • 2. Basic concepts. 2.1. Collective effects. 2.2. Charge neutrality and the Debye length. 2.3. Debye shielding. 2.4. The plasma parameter. 2.5. Plasma oscillations
  • 3. Orbit theory
  • uniform fields. 3.1. Particle motion in a static, uniform magnetic field. 3.2. Particle motion in electric and magnetic fields. 3.3. Particle motion in magnetic and gravitational fields. 3.4. Particle motion in a time-varying uniform magnetic field
  • 4. Adiabatic invariants. 4.1. General adiabatic invariants. 4.2. The first adiabatic invariant: magnetic moment. 4.3. Relativistic form of the first adiabatic invariant. 4.4. The second adiabatic invariant: the bounce invariant. 4.5. Magnetic traps. 4.6. The third adiabatic invariant
  • 5. Orbit theory. 5.1. Particle motion in a static inhomogeneous magnetic field. 5.2. Discussion of orbit theory for a static inhomogeneous magnetic field. 5.3. Drifts in the Earth's magnetosphere. 5.4. Motion in a time-varying electric field.
  • 17.5. The tearing mode. 17.6. Solution of the differential equations
  • 18. Stochastic processes. 18.1. Stochastic diffusion. 18.2. One-dimensional stochastic acceleration. 18.3. Stochastic diffusion, Landau damping and quasilinear theory
  • 19. Interaction of particles and waves. 19.1. Quantum-mechanical description. 19.2. Transition to the classical limit. 19.3. The three-state model: emission and absorption. 19.4. Diffusion equation for the particle distribution function
  • Appendix A Units and constants
  • Appendix B Group velocity
  • Appendix C Amplifying and evanescent waves, convective and absolute instability.
  • 13.4. The generating-function method. 13.5. Calculation of magnetic-field configurations. 13.6. Linear force-free fields of cylindrical symmetry. 13.7. Uniformly twisted cylindrical force-free field. 13.8. Magnetic helicity. 13.9. Woltjer's theorem. 13.10. Useful relations for semi-infinite force-free magnetic-field configurations
  • 14. Waves in MHD systems. 14.1. MHD waves in a uniform plasma. 14.2. Waves in a barometric medium
  • 15. Magnetohydrodynamic stability. 15.1. The linear pinch. 15.2. Stability analysis. 15.3. Boundary conditions. 15.4. Internally homogeneous linear pinch. 15.5. Application of the boundary conditions
  • 16. Variation principle for MHD systems. 16.1. Variation principle for a spatially distributed system. 16.2. Convection of magnetic field. 16.3. Variation principle of MHD motion. 16.4. Small-amplitude disturbances
  • 17. Resistive instabilities
  • 17.1. Introductory remarks. 17.2. Current sheet configuration. 17.3. Evolution of the magnetic field. 17.4. Equation of motion.
  • 9.4. The Landau initial-value problem. 9.5. Gardner's theorem. 9.6. Weakly damped waves
  • Landau damping. 9.7. The Penrose criterion for stability
  • 10. Collision theory. 10.1. Lagrange expansion. 10.2. The Fokker-Planck equation. 10.3. Coulomb collisions. 10.4. The Fokker-Planck equation for Coulomb collisions. 10.5. Relaxation times
  • 11. MHD equations. 11.1. The moment equations. 11.2. Fluid description of an electron-proton plasma. 11.3. The collision term. 11.4. Moment equations for each species. 11.5. Fluid description. 11.6. Ohm's law. 11.7. The ideal MHD equations. 11.8. The conductivity tensor
  • 12. Magnetohydrodynamics. 12.1. Evolution of the magnetic field. 12.2. Frozen magnetic field lines. 12.3. Diffusion of magnetic field lines. 12.4. The virial theorem. 12.5. Extension of the virial theorem. 12.6. Stability analysis using the virial theorem
  • 13. Force-free magnetic-field configurations
  • 13.1. Introduction. 13.2. Linear force-free fields. 13.3. Examples of linear force-free fields.
  • 5.5. Particle motion in a rapidly time-varying electromagnetic field
  • 6. Electromagnetic waves in a cold electron plasma. 6.1. The wave equation. 6.2. Waves in a cold electron plasma without a magnetic field. 6.3. Effect of collisions. 6.4. Electromagnetic waves in a cold magnetized electron plasma. 6.5. Wave propagation normal to the magnetic field. 6.6. Propagation parallel to the magnetic field. 6.7. Faraday rotation. 6.8. Dispersion of radio waves. 6.9. Whistlers
  • 7. Electromagnetic waves in an electron-ion plasma. 7.1. The dispersion relation. 7.2. Wave propagation in an electron plasma
  • 8. Two-stream instability. 8.1. Particle streams of zero temperature. 8.2. Two-stream instability. 8.3. Two identical but opposing streams. 8.4. Stream moving through a stationary plasma
  • 9. Electrostatic oscillations in a plasma of nonzero temperature. 9.1. Distribution functions. 9.2. Linear perturbation analysis of the Vlasov equation. 9.3. Dispersion relation for a warm plasma.