Plasma Theory 2
Code  Completion  Credits  Range  Language 

02TPLA2  Z,ZK  5  3+1  Czech 
 Garant předmětu:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Physics
 Synopsis:

First part of the lecture will be devoted to plasma waves and instabilities. General recipes of obtaining the disperse relation will be discussed, especially linearization and Fourier transform. Magnetoacoustic waves, electromagnetic waves, and basic instabilities will be treated in detail. The second part of the lecture will be devoted to statistical plasma approach, e. g. transport phenomena, and microinstabilities such as Landau damping.
 Requirements:

Knowledge of basic course of physics
02TEF1,2 Theoretical physics 1,2
02TPLA1 Plasma Theory I
 Syllabus of lectures:

1. Wave phenomena basics. Wave frequency and wave vector. Disperse relation, linearization, Fourier transform.
2. Basic techniques leading to disperse relation, phase and group velocities.
3. Plasma waves and oscillations. Disperse relation. Plasma oscillations of electrons and ions. Plasma waves. Phenomena influencing plasma waves.
4. Low frequency waves. Magnetoacoustic complex (Alfven, fast and slow mode). Magnetoacoustic waveforms. Alfven waves.
5. High frequency waves: X wave, O wave, R wave, L wave. Whistlers. Cutoff and resonant frequencies.
6. Other examples: HF electromagnetic wave permittivity tensor, Faraday rotation, CMA diagram;
7. MHD plasma instabilities. Bunemann, RayleighTaylor, KelvinHelmholtz, diocotron instability.;
8. Plasma pinch instabilities and their modes. Boundary and interface conditions
9. Nonequilibrium statistics, Boltzmann equation and its variants (FokkerPlanck equation, Landau equation, Krook equation, Vlasov equation);
10. Boltzmann collision term, transport equation, momenta, relation to fluid models;
11. Transport phenomena. Diffusion, heat transfer, entropy flux, entropy wave, Onsager reciprocity relations;
12. First and second Rosenbluth potential, relaxation times, collisional frequency calculation, Chandrasekhar function;
13. Runaway electrons, Dreicer field, ultrarelativistic particles behavior, radiation, pair creation;
14. Landau damping, Bernstein modes, laser wakefield accelerators.
 Syllabus of tutorials:

corresponds withe the outline of the lectura
 Study Objective:

Honourable
 Study materials:

Key references:
[1] T.H.Stix:WavesinPlasmas;Springer,2006
Recommended references:
[2] T. J. M. Boyd, J. J. Sanderson: The Physics of Plasmas, Cambridge University Press, 2003
 Note:
 Further information:
 www.aldebaran.cz/studium/tpla/
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 Fyzika a technika termojaderné fúze (compulsory course of the specialization)
 Fyzika plazmatu a termojaderné fúze (compulsory course in the program)