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Explanatory Notes
Instructions
Web page:
www.aldebaran.cz/studium/tpla/
Anotation:
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.
Study targets:
Honourable
Content:
Students will become familiar with plasma wavws and instabilities. The second part will be devoted to statistical description of the plasma processes.
Course outlines:
| 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. Cut-off and resonant frequencies. |
| 6. | | Other examples: HF electromagnetic wave permittivity tensor, Faraday rotation, CMA diagram; |
| 7. | | MHD plasma instabilities. Bunemann, Rayleigh-Taylor, Kelvin-Helmholtz, diocotron instability.; |
| 8. | | Plasma pinch instabilities and their modes. Boundary and interface conditions |
| 9. | | Nonequilibrium statistics, Boltzmann equation and its variants (Fokker-Planck 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 wake-field accelerators. |
Exercises outline:
corresponds withe the outline of the lectura
Literature:
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 |
Requirements:
Knowledge of basic course of physics
02TEF1,2 Theoretical physics 1,2
02TPLA1 Plasma Theory I
Keywords:
plasma physics, wave, instability, runaway electron, plasma oscillations, magnetoacoustic complex, CMA diagram, disperse relation
Subject is included into these academic programs:
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| Page updated 26.4.2024 05:51:27, semester: Z/2024-5, Z,L/2023-4, Send comments about the content to the Administrators of the Academic Programs |
Proposal and Realization: I. Halaška (K336), J. Novák (K336) |