Plasma Theory

Scope of questions for State exams of Master's degree program

Branch: Physics of Plasma and Thermonuclear Fusion

Subject: Plasma Theory

Subjects regarding the questions:

02TPLA12 –Plasma Theory 1, 2

1. Charged particles motions: Lagrange and Hamilton function in the relativistic and non-relativistic case, motion in the homogeneous electric and magnetic field

2. Charged particles motions: Equation for the centre of gyration, drift equation and the theory of drifts, adiabatic invariants, force –μ grad B, magnetic mirror, dipole, geometry of a tokamak

3. Statistical description of plasma: Boltzmann equation and it’s variations, transition equations and the transition to the continuum, simple transport phenomena

4. Statistical description of plasma: Fokker-Planck equation, Rosenbluth potentials, diverging solutions

5. Magnetohydrodynamics: freezing and diffusion of the magnetic field, Hartman solution, helicity and the law of its conservation, relation to the Beltram fields

6. Magnetohydrodynamics: equilibrium of a current filament, Bennett solution, double-layer, conditions of a shock wave

7. Plasma waves: magnetoacoustical complex of waves, electromagnetic complex of waves, whistles

8. Plasma waves: Stix coefficients, CMA diagram, high-frequency tensor of permittivity, Faraday rotation

9. Instabilities in plasma: multi-beams instability, vector of translation and its equations, criterion of stability, instabilities with boundaries (plasma fiber)

10. RT, KH, and RM instabilities, resistive instabilities, reconnection, Landau damping