Quasilinear Theory

Plasma Physics · Part 2

278 KB10 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

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...

← Particle Trapping
Two Stream Instability →

Get Instant Access to 461+ PDF Study Guides

Professional LaTeX-typeset PDFs with complete derivations, worked examples, and beautiful equation rendering. Download any PDF, anytime. Cancel anytime.

$5
per month
All courses included
Save 17%
$50
per year
Best value
Subscribe Now
Secure payment via StripeCancel anytimeInstant access