Cosmic Rays

Plasma Physics · Part 7

247 KB10 sections4 key equationsLaTeX typeset
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Table of Contents

  1. 1.6.1 The Cosmic Ray Energy Spectrum
  2. 2.6.2 Second-Order Fermi Acceleration
  3. 3.6.3 Diffusive Shock Acceleration (1st Order Fermi)
  4. 4.6.4 Cosmic Ray Transport
  5. 5.6.5 Maximum Energy & the Hillas Criterion
  6. 6.Key Features of the Spectrum
  7. 7.6.2.1 Derivation of Energy Gain
  8. 8.6.2.2 Power-Law Spectrum from Stochastic Acceleration
  9. 9.6.3.1 Energy Gain Per Shock Crossing
  10. 10.6.3.2 The Universal Power-Law Index

Key Equations

$$\frac{dN}{dE} \propto E^{-\gamma}$$
$$E = E_0(1+\alpha)^k, \qquad N(>E) \propto P^k$$
$$P_{esc} = \frac{4v_2}{c} = \frac{4v_1}{rc}$$
$$\tau_{esc} \sim \frac{L^2}{\kappa(E)} \propto E^{-\delta}$$

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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