Closure Problem

Plasma Physics · Part 3

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Table of Contents

  1. 1.7.1 The Hierarchy Problem
  2. 2.7.2 Common Closures
  3. 3.7.3 Braginskii Transport
  4. 4.7.4 Viscosity Tensor
  5. 5.7.5 Gyrokinetic Closure
  6. 6.7.6 Landau Closure
  7. 7.7.7 Validity Conditions
  8. 8.Cold Plasma (T → 0)
  9. 9.Isothermal Closure
  10. 10.Adiabatic Closure

Key Equations

$$\text{0th moment (continuity):} \quad \frac{\partial n}{\partial t} \rightarrow \text{depends on } \mathbf{u}$$
$$p = 0, \quad \mathbf{P} = 0, \quad \mathbf{q} = 0$$
$$\mathbf{q} = -\kappa_\parallel \nabla_\parallel T - \kappa_\perp \nabla_\perp T + \kappa_\wedge \mathbf{b} \times \nabla T$$
$$P_{ij} = p\delta_{ij} + \pi_{ij}$$

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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