Institute
for Fusion Theory and Simulation,
School of
Physics, Zhejiang University
Physics of
Alfvén waves and energetic particles in fusion plasmas
Mode
structures and global dispersion of Alfvén waves in tokamaks  Spring 2024
Lecture Plan
and Teaching Material
Abstract: This
introduction to Physics of Alfvén waves and energetic particles in fusion
plasmas is devoted to Mode structures and global dispersion of Alfvén
waves in tokamaks and will be lectured by Prof. Fulvio Zonca in Spring
2024. These Lectures will cover with pedagogical style the first part of Reviews
of Modern Physics 88, 015008 (2016) and are based on the 2018
Intesive Course Lecture
Notes, which was a continuation of the Intensive Course on Linear
physics and stability in tokamaks taught in Spring 2017. Prerequisite of
the course is a preliminary knowledge of general plasma physics and classical
mechanics, and the Lecture
Notes of the 2017 Intensive Course. General theoretical aspects are treated
in Lectures (1 ÷ 7), which are complemented by corresponding Q&A Sessions.
Main areas that will be explored are: 

(I) Variational methods in plasma physics 

i) Constructing
variational principles: 

ii) Examples and
applications of variational principles: 

iii) Shear Alfvén waves in
tokamaks. 

(II) Wave propagation in slowly varying,
weakly nonuniform media


iv) Eikonal formulation of
wave equations. 

v) The wave kinetic
equation. 

(III) Description of Alfvén waves in
tokamaks 

vi) Global eigenvalue problem in
toroidal plasmas. 

vii) Time asymptotic solution and WKB 

Lecture
Notes: Available in
electronic form. At the end of each lecture and during the Q&A time, a list
of specific reading material is given explicitly. Should you have difficulty in
finding literatures and papers, please contact me at fulvio.zonca@enea.it.
Q&A
Sessions: Devoted to
detailed discussions and analysis of technical aspects. They are meant to be
complementary to general lectures and are a necessary addendum for full
appreciation of the material presented in the course.
Time
and Location:
Lectures
(10am11:30am) will be held at IFTS on May 232931 and June 35711, with
corresponding Q&A Sessions (4pm5pm) of the same days.
