Collisions

Plasma Physics · Part 1

309 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.3.1 Coulomb Collisions
  2. 2.3.2 Rutherford Scattering & Cross Sections
  3. 3.3.3 Collision Frequencies
  4. 4.3.4 Collision Timescales
  5. 5.3.5 Mean Free Path & Collisionality
  6. 6.3.6 Collision Operators in Kinetic Theory
  7. 7.3.7 Energy and Momentum Exchange
  8. 8.3.8 Classical Transport Coefficients
  9. 9.Scattering Geometry
  10. 10.Small-Angle Scattering Dominates

Key Equations

$$V(r) = \frac{q_1 q_2}{4\pi\epsilon_0 r} = \frac{Z_1 Z_2 e^2}{4\pi\epsilon_0 r}$$
$$\boxed{\ln\Lambda = \ln\left(\frac{b_{\max}}{b_{\min}}\right) = \ln\left(\frac{\lambda_D}{b_{90}}\right) \approx \ln\left(1.6\times10^4 \frac{T_e^{3/2}}{n_e^{1/2}}\right)}$$
$$\nu_{ei} \approx 6\times10^{-3} \text{ s}^{-1}$$
$$\frac{dP_{ei}}{dt} = -m_e n_e \nu_{ei}(u_e - u_i) = -m_i n_i \nu_{ie}(u_i - u_e)$$

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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