Abstract: These Lectures on the Kinetic theory and global dispersion relation of Alfvén waves in tokamaks are the continuation of the Spring 2018 Course on Physics of Alfvén waves and energetic particles in fusion plasmas. Mode structures and global dispersion of Alfvén waves in tokamaks. These Lectures will cover with pedagogical style the first part of Reviews of Modern Physics 88, 015008 (2016). Prerequisite of the course is a preliminary knowledge of general plasma physics and classical mechanics, and the Lecture Notes of the 2018 Intensive Course. General theoretical aspects are treated in Lectures (1 ÷ 6), which are complemented by corresponding Q&A Sessions.
Main areas that will be explored are:
(I)Shear Alfven waves in tokamaks. Mode structure decomposition
i) Shear Alfvén continuous spectrum and frequency gaps. (Lecture 1)
(II) Variational methods for Alfven waves in Tokamaks
ii) Variational formulation and variational principle
Integral form of the dispersion relation: Ideal MHD. (Lecture 2)
iii) Variational formulation and variational principle
Integral form of the dispersion relation: Kinetic theory. (Lecture 3)
(III) Kinetic description of Alfvén waves in tokamaks
iv) The linear gyrokinetic equation and the global dispersion relation Alfvén waves in toroidal geometry. (Lecture 4)
v) Kinetic Alfvén waves and low-frequency.
Alfvén Eigenmodes in tokamaks. (Lecture 5)
vi) Toroidal Alfvén Eigenmodes and Energetic Particle Modes. (Lecture 6)