Course Contents

KINETIC MODEL THE VLASOV THEORY OF PLASMAS LANDAU DAMPING EQUILIBRIUM AND STABILITY

Course Synopsis

Definition of distribution function, Kinetic averages of physical quantities, Equations of kinetic theory, Derivation of Fluid equation, Comparison of kinetic and Fluid models, Plasma oscillation and Landau damping, Concept of Landau damping, The plasma dispersion function and ion Landau damping . The Vlasov equation and its linearization, Electrostatic waves in unmagnetizied plasmas with Vlasov theory, The Vlasov theory for electron plasma waves and ion acoustics waves, Electromagnetic waves in Vlasov theory for unmagnetized plasma, Electromagnetic waves in for magnetized plasma, General solution of Vlasov equation in magnetized plasma , Derivation of general dispersion relation using Vlasov model in magnetized plasma, Derivation of Bernstein waves, study of circularly polarized EM waves (a) Alfven waves (b) Whistler waves (c) Cyclotron waves, The Valsov theory of electrostatic waves in inhomogeneous plasmas Plasma resistivity, the single Fluid MHD equations Two stream instability, the gravitational instability, parametric instability

Course Learning Outcomes

Students will be able to understand basic plasma model known as kinetic model, to do research work in kinetic theory.