High-Temperature Plasma Physics and Thermonuclear Fusion
Field: General part
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Charged particles motions: Lagrange and Hamilton function in the relativistic and non-relativistic case, motion in the homogeneous electric and magnetic field
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Charged particles motions: Equation for the centre of gyration, drift equation and the theory of drifts, adiabatic invariants, force –μ grad B, magnetic mirror, dipole, geometry of a tokamak
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Statistical description of plasma: Boltzmann equation and it’s variations, transition equations and the transition to the continuum, simple transport phenomena
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Statistical description of plasma: Fokker-Planck equation, Rosenbluthpotentials, diverging solutions
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Magnetohydrodynamics: freezing and diffusion of the magnetic field, Hartman solution, helicity and the law of its conservation, relation to the Beltram fields
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Magnetohydrodynamics: equilibrium of a current filament, Bennett solution, doublelayer, conditions of a shock wave
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Plasma waves: magnetoacoustical complex of waves, electromagnetic complex of waves, whistles
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Plasma waves: Stix coefficients, CMA diagram, high-frequency tensor of permittivity, Faraday rotation
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Instabilities in plasma: multi-beams instability, vector of translation and its equations, criterion of stability, instabilities with boundaries (plasma fiber)
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RT, KH, and RM instabilities, resistive instabilities, reconnection, Landau damping
Field: Specific part
The specific part verifies the knowledge and skills required for the research work of the doctoral student on the chosen framework topic of the dissertation, especially in one of the following areas:
(i) Physics of Tokamaks
(ii) Inertial Fusion Physics
(iii) Plasma Diagnostics
(iv) Material Science
(v) Computational Physics