Plasma Theory I & II: Course Outline for Plasma Theory I (MAT 667)
Review-1: Coulomb’s law, Electric field, Gauss’s law with applications, electric potential of a localized charge distribution, Poisson’s and Laplace’s equation. fields at long and short distances. Lorentz force, magnetic induction, Biot-Savart law. Electromotive force and motional emf, Faraday’s law, induced electric field, energy stored in electric and magnetic fields. Maxwell’s equations.
Review-2: Occurrence of plasma in nature, Definition of plasma, Plasma parameter, Motion of single particle motion with Uniform E and B field, with nonuniform B field and E field. Plasma as fluid.
Wave propagation in plasma; derivation of dispersion relations for simple electrostatic and electromagnetic modes. Equilibrium and stability (with fluid model); Hydromagnetic equilibrium/diffusion of magnetic field into a plasma; classification of instabilities; two-stream instability; the gravitational instability; resistive drift waves. Atomospheric source of magnetospheric plasma and its temperature, plasma from Jupiter.