Infopaket

Plasma theory

ВБ 3.1

Вибіркова дисципліна для ОП

Second

2023/2024

3 Semester

4

Development of students' ability to apply the kinetic approach to the description of plasmas. Formation of an in-depth unifying view on various plasma phenomena such as eigenwaves, Coulomb collisions between charged particles, particle-wave interaction, nonlinear wave interaction.

Full-time form

The academic discipline "Plasma Theory" is based on the courses "Statistical Physics", "Electricity and Magnetism", "Differential Equations", "Mathematical Physics".

Basic concepts of plasma physics. Plasma parameter, fluid limit. Ideal and non-ideal plasma. Charge shielding and plasma oscillations. Kinetic description of plasma. The Vlasov equation. Equation for the field in plasma. Eigenwaves. Dielectric permittivity of isotropic plasma. Dispersion relation for potential and electromagnetic waves. The condition of weak wave damping. Langmuir, ion-sound and electromagnetic waves. Damping of waves in a collisionless plasma, undamped oscillations of the distribution function and the echo phenomenon. Equations of hydrodynamics, their connection with the Vlasov equation. The difference between kinetic and hydrodynamic descriptions of plasma. Plasma in a constant uniform magnetic field. Cyclotron harmonics. Bernstein waves. Dependence of the refractive index on the wave frequency. Cutoff points and resonances, plasma heating by electromagnetic waves. Weak turbulence, collision of particles with turbulent fields. Quasilinear theory of kinetic beam instability, formation of a plateau on a distribution function. Coulomb collisions. The Balescu - Lenard collision integral. Nonlinear equation for a field in plasma. Nonlinear susceptibilities. Hierarchy of time scales, elimination of secularities, slow variation of wave amplitudes. Three-wave and four-wave resonant interactions. Decay and explosive instabilities. Nonlinear frequency shift of plasma oscillations, saturation of instabilities.

1.Загороднiй А.Г., Момот А.I. Вступ до теорії плазми, Київ – 2015. 2. Анісімов І.О. Фізика плазми, Київ – 2018. 3. Ситенко А.Г. Флуктуации и нелинейное взаимодействие волн в плазме, К.: Наук. думка, 1977. 4. Wesson J. Tokamaks - Oxford, Calderon Press, 2004. 5. Ситенко О.Г., Мальнєв В.М. Основи теорії плазми. К., Наукова думка, 1994. 6. І.О.Анісімов. Фізика плазми. Конспект лекцій. К., 2018.

Lectures, solving of problems, student reports on topics, exam.

Problem solving, student reports, and exam answers are evaluated. The grade has the following components: knowledge up to 45%; skill - up to 45%; clarity of presentation - up to 10%.

Ukrainian