Single Particle Motion

Plasma Physics · Part 1

316 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.2.1 Lorentz Force Equation
  2. 2.2.2 Motion in Uniform Electric Field
  3. 3.2.3 Motion in Uniform Magnetic Field
  4. 4.2.4 E×B Drift
  5. 5.2.5 Guiding Center Approximation
  6. 6.2.6 General Force Drifts
  7. 7.2.1.1 Energy Conservation
  8. 8.Fundamental Principle
  9. 9.2.1.2 Relativistic Generalization
  10. 10.2.1.3 Hamiltonian Formulation

Key Equations

$$\boxed{\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})}$$
$$\sigma = \frac{nq^2}{m\nu} = nq\mu$$
$$m\frac{d\mathbf{v}}{dt} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$$
$$\frac{dE_\perp}{dt} \approx \mu v_\parallel \frac{\partial B}{\partial s}$$

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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