Course Contents

Chap I. EQUILIBRIUM AND STABILITY: Chap II: KINETIC MODEL Chap III; THE VLASOV THEORY Chap IV: ELECTROSTATIC WAVES IN VLASOV THEORY CHAP V LANDAU DAMPING CHAP VI: ELECTROMAGNETIC WAVES

Course Synopsis

Chap I: .Plasma resistivity, the single Fluid MHD equations. Two stream instability, the gravitational instability, parametric instability, Jeans instability, gravitational waves/ RT Instability. Chap II. Definition of distribution function, Kinetic averages of physical quantities, Equations of kinetic theory, Derivation of Fluid equation, Comparison of kinetic and Fluid models. Chap III: The Vlasov equation and its linearization, continuity equation, Langmuir electron plasma waves in unmagnetizied plasmas, The Valsov theory of electrostatic waves in inhomogeneous plasmas. CHAP IV: The Vlasov theory for electron plasma waves, ion acoustics waves, low frequency waves, using plasma dispersion function, detailed derivations,, Electromagnetic waves in Vlasov theory for unmagnetized plasma,Electromagnetic waves for magnetized plasma, General solution of Vlasov equation in magnetized plasma CHAP V: Concept of Landau damping, Plasma oscillation and Landau damping,The plasma dispersion function and linear ion Landau damping, Nonlinear Landau damping, Landau damping of transverse electromagnetic waves. Chap VI. Derivation of (a) circularly polarized EM waves (b) Alfven waves (c) Whistler waves (d) Cyclotron waves (e) magneto sonic waves

Course Learning Outcomes

After course work students are expected to understand One fluid magneto hydrodynamic approximation, the dissipation term in plasmas, the concept of various instabilities. The concept of Kinetic model, the most precise plasma model, which will be used in their future research work. How the basic fluid model may be derived and applied n Valsov theory. The derivation of variuos electrostatic waves using plasma dispersion function. Both linear and nonlinear Landau damping. Will be able to understand the calculations and physics of various electromagnetic waves.