Počet kreditů 4
Vyučováno v Winter
Rozsah výuky 3+1s
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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.

Theoretical Physics 1

Basics of plasma physics and linear wave theory.

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

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

[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

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