Strategic Objectives
• Understand the fluid-like behavior of plasma in complex magnetic fields.
• Identify the precise force balances required for stable confinement.
• Analyze the geometric limits of various fusion reactor designs.
• Predict and prevent catastrophic structural equilibrium failures.
The Core Challenge
Traditional plasma physics often gets lost in particle chaos, failing to predict the macroscopic stability required for sustained fusion energy.
01
The Fourth State of Matter
02
Foundations of MHD
03
The Lorentz Force
04
Static Equilibrium Conditions
05
The Grad-Shafranov Equation
06
Magnetic Flux Surfaces
07
Magnetic Helicity
08
The Alfven Limit
09
Tokamak Geometry
10
Stellarator Configurations
11
The Beta Limit
12
Magnetic Islands
13
Rotational Transform
14
Magnetic Reconnection
15
Z-Pinch Dynamics
16
The Virial Theorem
17
Free-Boundary Equilibrium
18
Ballooning Instabilities
19
Computational MHD
20
Astrophysical Equilibria
21