General overview, part I (up to linear MHD theory)

General overview, part I (up to linear MHD theory)

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Overview Part I (Up to linear MHD theory)
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Plasma Physics Lecture Series Playlist:
https://youtube.com/playlist?list=PLgNi5MiqkBWZ2RZLn9p0iagtuxnHCOrFy

1 Basic concept
1.1 Introduction
Introduction to Plasma Physics Lecture Series
https://youtu.be/Gh44SCL_G_I
Introduction to stress tensor
https://youtu.be/qrROIlBCZPE
Gaussian unit (cgs unit)
https://youtu.be/m82dKEnW-ls
Maxwell's equations
https://youtu.be/NBLg0EIQWaE
Neutral gas VS plasma collision
https://youtu.be/aGqOE30Zco4
Overview Part I (Up to linear MHD theory)
https://youtu.be/LBD_ftIbzYk

1.2 Debye and plasma shielding parameter
Debye shielding
https://youtu.be/bqR8ncRkA7U
Debye: a more rigorous approach to shielding
https://youtu.be/1hVfvjmgjWg
Plasma parameter and physical understanding of Debye shielding
https://youtu.be/xGy9QPm0Bgw

1.3 Gyromotion and guidance center drift
Basic concept of guidance center and gyromotion
https://youtu.be/dqgShb1epa0
Gyroscopic averaging
https://youtu.be/GtSUZ2JwShs
General method for solving guidance center drift
https://youtu.be/VzEH9MzqhN4
Summary of deviations
https://youtu.be/lNyxGuv66Cw

1.4 Adiabatic invariant
Magnetic moment – first adiabatic invariant
https://youtu.be/QABd4TlLRaM
Magnetic mirror – an application of the first adiabatic invariant
https://youtu.be/A_QtKsRYI4g
Magnetic Containment Concepts
https://youtu.be/Sf1MGTD9xGY
(Improvement needed) Anti-radiation belt – and example of magnetic mirror
https://youtu.be/bQ0-H1MNvr4
Alfven's theorem Conservation of magnetic flux
https://youtu.be/z_8PaOz7urw

2 Descriptions of plasma:
Overview of Plasma Description Microscopic, Kinetic, Fluid, MHD
https://youtu.be/xE-qSMHjws8

2.1 Kinetics
From microscopic to kinetic
https://youtu.be/3B5gIQzpnKM

2.2 Fluid
From kinetics to fluid taking fluid moments
https://youtu.be/UPzDTi2uPp8
General method for calculating fluid moments
https://youtu.be/vbPfhXlrTkQ
0th order fluid moment continuity equation
https://youtu.be/0_oNP7JSlX8
Conservation of 1st order momentum of fluid momentum
https://youtu.be/atfwAVPbq-Y
Conservation of energy – 2nd order of fluid moments
https://youtu.be/L4zxH-MYiT4

2.3 MHD
Overview of MHD Equations
https://youtu.be/_ozMZa9OdwE
Magnetohydrodynamics (MHD) – Continuity Equation
https://youtu.be/Fk_hDch7Ko8
Magnetohydrodynamics (MHD) – conservation of momentum
https://youtu.be/WqEMpJnPnjI
Magnetohydrodynamics (MHD) – Ohm's Law
https://youtu.be/hAABvxT8hRA
Order of Ohm's Law MHD
https://youtu.be/17GJS76gHzc
Magnetic pressure and tension
https://youtu.be/1znt7GS5ufU
Induction equation
https://youtu.be/zq3FMzX11LM
Another way to express MHD equations
https://youtu.be/x4feqRPDbng
Ideal MHD equations Conservation form
https://youtu.be/ptdt5HlL6Pw
Fourier decomposition Common method in plasma physics
https://youtu.be/WKMy2jNszTg

3. Waves in plasma
3.1 Non-magnetized (B=0) and cold (T=0) plasma
Plasma oscillation (Langmuir wave)
https://youtu.be/s1iiYIpu4Xg
Physical understanding of plasma oscillation and heuristic method to derive it
https://youtu.be/lWDeYgZcrQo

3.2 Unmagnetized (B = 0) and hot (T /
equation 0) plasma
Plasma oscillation at finite temperature in 1D
https://youtu.be/0nTa_VfH5vw
Electron plasma wave, ion plasma wave and sound wave
https://youtu.be/mDetrzF07ng

3.2 Magnetized (B/
eq0) and hot plasma (T=0)
Dispersion relation in cold magnetized plasma – Krall overview
https://youtu.be/CfR53UKcwAw
Dispersion relation in cold magnetized plasma (Part 1) — From fluid equations to matrix
https://youtu.be/gTmmxwPtT3s
Dispersion relation in cold magnetized plasma (Part 2) — Taking the matrix determinant
https://youtu.be/TS_ieM_c6xo
Complete derivation of the dispersion relation in cold magnetized plasma (Part 1)
https://youtu.be/gf4g2_k8V_0
Complete derivation of the dispersion relation in cold magnetized plasma (part 2) – Results
https://youtu.be/9CADHXP5jaM
Left/right waves — High frequency wave in cold magnetized plasma
https://youtu.be/w50AnXVEMK0
Alfven waves, low frequency wave in a cold magnetized plasma
https://youtu.be/97pS9eN9Yos
Ordinary, extraordinary waves, high frequency waves in a cold magnetized plasma
https://youtu.be/0NAqFGCtUHw
Magnetosonic waves, low frequency wave in a cold magnetized plasma
https://youtu.be/MSmzDNyrKv0
Overview of the plasma wave in MHD
https://youtu.be/QQSRt-pBW7U

4. Torus, flow representation and ideal MHD balance
Virial theorem, the reason we need an external field
https://youtu.be/5nwHRy4irRo
Torus
https://youtu.be/CjtEh9qMyug
Surface potentials, another way to describe the magnetic field
https://youtu.be/7n_7emG36Ng
Poloidal and toroidal flows
https://youtu.be/D4KK0L8DiA8
Representation of magnetic field flux
https://youtu.be/2aNNviRvoYQ
Safety factor q and rational surfaces
https://youtu.be/2bnGiBfHQhI
Grad Shafranov equation and its derivation
https://youtu.be/qcShpdf6uB8

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