Quasilinear Theory

Plasma Physics · Part 2

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Table of Contents

  1. 1.5.1 Introduction
  2. 2.5.2 Ordering and Assumptions
  3. 3.5.3 Quasilinear Diffusion Equation
  4. 4.5.4 Wave Energy Evolution
  5. 5.5.5 Plateau Formation
  6. 6.5.6 Applications and Limitations
  7. 7.Expansion Scheme
  8. 8.Time Scale Separation
  9. 9.Derivation from Vlasov Equation
  10. 10.Physical Interpretation

Key Equations

$$f(\mathbf{r}, \mathbf{v}, t) = f_0(\mathbf{v}, t) + f_1(\mathbf{r}, \mathbf{v}, t) + f_2(\mathbf{r}, \mathbf{v}, t) + \cdots$$
$$\frac{\partial f_0}{\partial t} = \frac{\partial}{\partial \mathbf{v}} \cdot \left( \mathbf{D} \cdot \frac{\partial f_0}{\partial \mathbf{v}} \right)$$
$$D(v) = \frac{\pi e^2}{m^2} \sum_{k} k^2 |E_k|^2 \delta(\omega_k - kv)$$
$$\frac{d}{dt}\left( \int \frac{1}{2}mv^2 f_0 \, d^3v + \sum_{\mathbf{k}} W_{\mathbf{k}} \right) = 0$$

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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