Two Fluid Theory

Plasma Physics · Part 3

226 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.6.1 Motivation
  2. 2.6.2 Two-Fluid Equations
  3. 3.6.3 Generalized Ohm's Law
  4. 4.6.4 Hall MHD
  5. 5.6.5 Two-Fluid Waves
  6. 6.6.6 Diamagnetic Drifts
  7. 7.Continuity (each species s)
  8. 8.Momentum (each species s)
  9. 9.Maxwell's Equations
  10. 10.Whistler Waves

Key Equations

$$\frac{\partial n_s}{\partial t} + \nabla \cdot (n_s \mathbf{u}_s) = 0$$
$$\nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \frac{1}{c^2}\frac{\partial \mathbf{E}}{\partial t}$$
$$-\frac{\nabla p_e}{en}$$
$$\omega \approx \Omega_{ci} \sqrt{1 + k_\perp^2 \rho_i^2}$$

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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