Plasma Physics
Overview
Playlist of Plasma Physics lecture series:
https://youtube.com/playlist?list=PLg...
1 Basic concept
1.1 Introduction
Introduction to Plasma Physics lecture series
Introduction to the Stress Tensor
Gaussian Unit(cgs unit)
Maxwell's Equations
Collision neutral gas VS plasma
Overview Part I (Up to Linear MHD theory)
1.2 Debye shielding and Plasma parameter
Debye shielding
Debye shielding more rigorous approach
Plasma parameter and physical understanding of Debye shielding
1.3 Gyromotion and Guiding center drift
Basic Concept of guiding center and gyromotion
Gyro-averaging
General way to solve guiding center drift
Summary of drifts
1.4 Adiabatic invariant
Magnetic moment - first adiabatic invariant
Magnetic mirror - an application of first adiabatic invariant
Magnetic Confinement Concepts
(Improvement needed)Radiation belt - and example of magnetic mirror
Alfven's theorem Conservation of Magnetic Flux
2 Descriptions of plasma:
Overview of plasma description Microscopic, kinetic, fluid, MHD
2.1 Kinetic
From microscopic to kinetic
2.2 Fluid
From Kinetic to fluid taking fluid moments
General way to calculate fluid moments
Continuity equation 0th order of fluid moment
Conservation of momentum 1st order of fluid moment
Conservation of energy - 2nd order of fluid moments
2.3 MHD
Overview of MHD Equations
Magnetohydrodynamic (MHD) - Continuity Equation
Magnetohydrodynamic(MHD) - conservation of momentum
Magnetohydrodynamic(MHD) - Ohm's Law
MHD Ohm's Law Ordering
Magnetic Pressure and tension
Induction Equation
Another way to Express MHD Equations
Ideal MHD equations Conservation form
Fourier decomposition Common method in plasma physics
3. Waves in Plasma
3.1 Unmagnetized (B=0) and cold (T=0) plasma
Plasma oscillation(Langmuir wave)
Physical understanding of plasma oscillation and heuristic method to derive it
3.2 Unmagnetized (B=0) and warm (T \neq 0) plasma
Plasma oscillation with finite temperature in 1D
Electron plasma wave, ion plasma wave and sound wave
3.2 Magnetized (B\neq0) and warm (T=0) plasma
Dispersion relation in cold magnetized plasma -- Overview from Krall
Dispersion relation in cold magnetized plasma(Part1) --- From Fluid Equations to Matrix
Dispersion relation in cold magnetized plasma (Part2) -- Taking determinant of the matrix
Full Derivation of dispersion relation in cold magnetized plasma (Part1)
Full Derivation of dispersion relation in cold magnetized plasma(Part 2)--Results
Left/right hand waves --- High frequency wave in cold magnetized plasma
Alfven waves, Low frequency wave in cold magnetized plasma
Ordinary, extraordinary waves, High-frequency wave in cold magnetized plasma
Magnetosonic waves, Low frequency wave in cold magnetized plasma
Overview of plasma wave in MHD
4. Torus, flux representation and ideal MHD equilibrium
Virial theorem the reason we need external field
Torus
Surface potentials another way to describe Magnetic field
Poloidal and toroidal fluxes
Flux representation of magnetic field
Safety factor q and rational surfaces
Grad Shafranov equation and its derivation
Summary of drifts
The list of common drifts in magnetized plasma:
EXB drift
Curvature drift
Grad B drift
Polarization drift
Diamagnetic drift
Some good resources:
Wikipedia: https://en.wikipedia.org/wiki/Guiding_center
Note from Dr. Fitzpatrick: https://farside.ph.utexas.edu/teaching/plasma/lectures1/node17.html
Lecture note: http://www.phys.nthu.edu.tw/~thschang/notes/PP02.pdf
Overview of waves in plasma
3. Waves in Plasma
3.1 Unmagnetized (B=0) and cold (T=0) plasma
Plasma oscillation(Langmuir wave)
Physical understanding of plasma oscillation and heuristic method to derive it
3.2 Unmagnetized (B=0) and warm (T \neq 0) plasma
Plasma oscillation with finite temperature in 1D
Electron plasma wave, ion plasma wave and sound wave
3.2 Magnetized (B\neq0) and warm (T=0) plasma
Dispersion relation in cold magnetized plasma -- Overview from Krall
Dispersion relation in cold magnetized plasma(Part1) --- From Fluid Equations to Matrix
Dispersion relation in cold magnetized plasma (Part2) -- Taking determinant of the matrix
Full Derivation of dispersion relation in cold magnetized plasma (Part1)
Full Derivation of dispersion relation in cold magnetized plasma(Part 2)--Results
Left/right hand waves --- High frequency wave in cold magnetized plasma
Alfven waves, Low frequency wave in cold magnetized plasma
Ordinary, extraordinary waves, High-frequency wave in cold magnetized plasma
Magnetosonic waves, Low frequency wave in cold magnetized plasma
Overview of plasma wave in MHD
Overview of waves in plasma
3. Waves in Plasma
3.1 Unmagnetized (B=0) and cold (T=0) plasma
Plasma oscillation(Langmuir wave)
Physical understanding of plasma oscillation and heuristic method to derive it
3.2 Unmagnetized (B=0) and warm (T \neq 0) plasma
Plasma oscillation with finite temperature in 1D
Electron plasma wave, ion plasma wave and sound wave
3.2 Magnetized (B\neq0) and warm (T=0) plasma
Dispersion relation in cold magnetized plasma -- Overview from Krall
Dispersion relation in cold magnetized plasma(Part1) --- From Fluid Equations to Matrix
Dispersion relation in cold magnetized plasma (Part2) -- Taking determinant of the matrix
Full Derivation of dispersion relation in cold magnetized plasma (Part1)
Full Derivation of dispersion relation in cold magnetized plasma(Part 2)--Results
Left/right hand waves --- High frequency wave in cold magnetized plasma
Alfven waves, Low frequency wave in cold magnetized plasma
Ordinary, extraordinary waves, High-frequency wave in cold magnetized plasma
Magnetosonic waves, Low frequency wave in cold magnetized plasma
Overview of plasma wave in MHD