Plasma Waves and Instabilities

Garant předmětu:

Lecturer:

Tutor:

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:

Basics of plasma physics and linear wave theory.

Study materials:

1. P. Kulhánek: Úvod do teorie plazmatu; AGA 2011

2. P. Kulhánek: Vybrané kapitoly z teoretické fyziky, AGA 2017

3. P. Kulhánek: Teorie elektromagnetického pole, online www.aldebaran.cz/studium/elmg.pdf, 2020

Note:

Further information:

https://www.aldebaran.cz/studium/tpla/ https://www.aldebaran.cz/studium/vnp/

No time-table has been prepared for this course

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)