An introduction to the kinetic theory of gases and magnetoplasmas

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An introduction to the kinetic theory of gases and magnetoplasmas

L.C. Woods

(Oxford science publications)

Oxford University Press, 1993

Available at  / 18 libraries

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Description and Table of Contents

Description

The aim of this book is to give a physical treatment of the kinetic theory of gases and magnetoplasmas, covering the standard material in as simple a way as possible, using mean-free-path arguments when possible and identifying problem areas where received theory has either failed or has fallen short of expectations. Examples are provided by strong shock waves, ultrasonic waves (high Knudsen numbers), and transport across strong magnetic fields. Examples of problem areas provided by strong shock waves, ultrasonic waves (high Knudsen numbers), and transport across strong magnetic fields. One of the paradoxes arising in kinetic theory concerns the fluid pressure. Collisions are necessary for a fluid force to result, yet standard kinetic theory does not entail this, being satisfied to bypass Newton's equations by defining pressure as a momentum flux. This omission usually has no adverse consequences, but with increasing Knudsen number, it leads to errors. This text pays particular attention to pressure, explaining the importance of allowing for its collisional nature from the outset in developing kinetic theory.

Table of Contents

  • 1. Basic concepts
  • 2. The Maxwellian velocity distribution
  • 3. Elementary kinetic theory
  • 4. Particle diffusion
  • 5. Intermediate kinetic theory
  • 6. Advanced kinetic theory
  • 7. Boltzmann's kinetic equation
  • 8. Second-order kinetic theory
  • 9. Dynamics of charged particles
  • 10. Kinetic theory for magnetoplasmas
  • 11. Transport across strong magnetic fields
  • Appendix
  • References
  • Index

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