Mhd Equilibrium

Plasma Physics · Part 3

207 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.3.1 Static Equilibrium Condition
  2. 2.3.2 Magnetic Surfaces
  3. 3.3.3 Grad-Shafranov Equation
  4. 4.3.4 Plasma Beta
  5. 5.3.5 Simple Equilibria
  6. 6.3.6 Bennett Relation
  7. 7.Properties of Magnetic Surfaces
  8. 8.θ-Pinch
  9. 9.Z-Pinch
  10. 10.Screw Pinch

Key Equations

$$\mathbf{J} \times \mathbf{B} = \nabla p$$
$$q = \frac{\text{toroidal turns}}{\text{poloidal turns}} = \frac{r B_\phi}{R B_\theta}$$
$$F(\psi) = RB_\phi$$
$$\frac{d}{dr}\left(p + \frac{B_\theta^2}{2\mu_0}\right) = -\frac{B_\theta^2}{\mu_0 r}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Plasma Physics course on CoursesHub.World. Comprehensive study of the fourth state of matter. Covers single-particle motion, kinetic theory, MHD, waves and instabilities, collisional processes, magnetic and inertial confinement fusion, space a...

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