Adiabatic Invariants

Plasma Physics · Part 1

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Table of Contents

  1. 1.6.1 Adiabatic Invariants in Physics
  2. 2.6.2 First Adiabatic Invariant: Magnetic Moment
  3. 3.6.3 Second Adiabatic Invariant: Longitudinal Invariant
  4. 4.6.4 Third Adiabatic Invariant: Flux Invariant
  5. 5.6.5 Violations of Adiabatic Invariants
  6. 6.6.6 Applications to Particle Confinement
  7. 7.Summary: Part I Complete
  8. 8.6.1.1 Definition and General Theory
  9. 9.6.1.2 Three Plasma Adiabatic Invariants
  10. 10.6.1.3 Nested Hierarchy

Key Equations

$$I = \oint p \, dq$$
$$\frac{dB}{dt} = \frac{\partial B}{\partial t} + \mathbf{v} \cdot \nabla B$$
$$\frac{r_L}{R_c} \ll 1$$
$$\frac{E_{\perp 1}}{E_{\perp 0}} = \frac{\mu B_1}{\mu B_0} = \frac{B_1}{B_0}$$

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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