Plasma Waves and Instabilities
Code | Completion | Credits | Range |
---|---|---|---|
A0M02VNP | Z,ZK | 4 | 3+1s |
- Lecturer:
- Petr Kulhánek (gar.)
- Tutor:
- Petr Kulhánek (gar.)
- Supervisor:
- Department of Physics
- Synopsis:
-
Basic wave phenomena will be introduced in the first part of the lecture (dispersion relation, phase and group velocities, Fourier analysis). Fundamental plasma dispersion relations will be derived from the linearized MHD equations (magnetoacoustic waves - Alfven, F and S wave; electromagnetic waves in plasma - O, X, R, L wave, CMA diagram). The second part of the lecture will be devoted to final size waves, nonlinear phenomena (Landau damping) and solitons in plasma.
- Requirements:
-
Theoretical Physics 1
- Syllabus of lectures:
-
1.Sound in hydrodynamics.
2.MHD equations.
3.Low frequency wave complex, megnetoacoustic waves
4.High frequency wave complex. Plasma oscillations and waves
5.Resonant and cutoff frequencies.
6.CMA diagram
7.Finit amplitude phenomena, Hartman solution.
8.Basic instabilities in plasma.
9.Instabilities of current filament.
10.Other instabilities
11.Magnetic reconnection, alpha effect.
12.Nonlinear phenomena
13.Landau damping
14.Solitons
- Syllabus of tutorials:
-
dimensional analysis
linearization of equations
Fourier transformation
disperse relation
phase and group velocity calculation
cutoff and resonant frequency calculation
instabilities in dispersion relation
boundary condotions
KdV equation
nonlinear phenomena
- Study Objective:
- Study materials:
-
[1] P. Kulhánek: Vlny a nestability v plazmatu, ČVUT, 2004, http://www.aldebaran.cz/studium/plasma.pdf
[2] E. M. Lifshitz, et al.: Course in theoretical Physics 8: Electrodynamics of Continuous Media, Elsewier Science, 2004
- Note:
- Time-table for winter semester 2011/2012:
- Time-table is not available yet
- Time-table for summer semester 2011/2012:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Fri Thu Fri - The course is a part of the following study plans: