Magnetized Plasmas

Plasma Physics · Part 1

296 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.5.1 Magnetic Moment and Adiabatic Invariance
  2. 2.5.2 Grad-B Drift
  3. 3.5.3 Curvature Drift
  4. 4.5.4 Polarization Drift and Time-Varying Fields
  5. 5.5.5 Magnetic Mirrors and Particle Trapping
  6. 6.5.6 Summary of Drifts
  7. 7.5.1.1 Definition and Physical Picture
  8. 8.5.1.2 Magnetic Moment as Action-Angle Variable
  9. 9.5.1.3 Force from Magnetic Moment
  10. 10.5.1.4 Accuracy of μ Conservation

Key Equations

$$I = \frac{q}{\tau_c} = \frac{q}{2\pi/\omega_c} = \frac{q\omega_c}{2\pi} = \frac{|q|^2 B}{2\pi m}$$
$$\mathbf{F}_{\perp} = -\mu \nabla_\perp B$$
$$\mathbf{v}_d = \mathbf{v}_{\nabla B} + \mathbf{v}_c = \frac{m}{qB^2}\left(\frac{v_\perp^2}{2} + v_\parallel^2\right)(\mathbf{B} \times \boldsymbol{\kappa})$$
$$F_\parallel = -\mu \nabla_\parallel B = -\frac{mv_\perp^2}{2B}\frac{\partial B}{\partial s}$$

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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