Institute for Fusion Theory and Simulation, Zhejiang University

IFTS Intensive Course on Advanced Plasma Physics-Spring 2011 Advanced Plasma Physics III: Nonlinear Plasma Physics (2) Part I. Non-linear charged particle dynamics Announcement

Lecture Plan and Teaching Material

Abstract: Prerequisite of the course is a preliminary knowledge of general plasma physics and classical mechanics. Part I of this course is meant to serve introducing fundamental concepts for the second part of the course, given by Prof. Liu Chen, focussing on non-linear plasma theory.
 

Main areas that will be explored are:
i) Overview of basic concepts in Hamiltonian mechanics (Lecture 1)
ii) Notions of integrable, near integrable and dissipative systems (Lecture 2)
iii) Classical perturbation theory (Lecture 3)
iv) Secular perturbation theory (Lecture 4)
v) Mappings and linear stability (Lecture 5)
vi) Transition to global stochasticity (Lecture 6)

Sources: Large portions of these lecture notes are based on the book by A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, Second Edition, Springer (2010).
 
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.
 
Exercises: In the lecture notes, Exercises (E) of various difficulty levels are suggested. These are meant to be important part of the lectures themselves.
 
Mid term take-home exam: The mid term take-home exam on part I of the course is available here with the corresponding solution.
 

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