book

Introduction to Plasmas and Plasma Dynamics

Name: Introduction to Plasmas and Plasma Dynamics
ISBN: 9780128018002

by Thomas M. York, Haibin Tang

August 2015

Beginner to intermediate

362 pages

9h 12m

English

Academic Press

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Cover image
Title page
Table of Contents
Copyright
Dedication
Preface
Acknowledgments
Chapter 1. The Plasma Medium and Plasma Devices
IntroductionPlasmas in NaturePlasmas in Laboratory/Device Applications
Chapter 2. Kinetic Theory of Gases
IntroductionBasic Hypotheses of Kinetic TheoryPressure, Temperature, and Internal Energy ConceptsKinetic Theory and Transport ProcessesMathematical Formulation of Equilibrium Kinetic Theory
Chapter 3. Molecular Energy Distribution and Ionization in Gases
IntroductionMolecular Energy

Ionization in Gases
Chapter 4. Electromagnetics
IntroductionElectric Charges and Electric Fields—ElectrostaticsElectric Currents and Magnetic Fields—MagnetostaticsConservation of ChargeFaraday's LawAmpere's LawMaxwell's EquationsForces and Currents due to Applied FieldsPlasma Behavior in Gas DischargesIllustrative Applications of Maxwell's Equations
Chapter 5. Plasma Parameters and Regimes of Interaction
IntroductionExternal ParametersParticle (Collision) ParametersSheath Formation and EffectsPlasma Oscillations and Plasma FrequencyMagnetic Field Related ParametersElectrostatic Particle Collection in (Langmuir) Probes
Chapter 6. Particle Orbit Theory
IntroductionCharged Particle Motion in Constant, Uniform Magnetic (B→) FieldParticle Motion in Uniform Electric and Magnetic FieldsParticle Motion in Spatially Varying (Inhomogenous) Magnetic FieldsParticle Motion with Curvature of the Magnetic Field LinesParticle Motion in Time-Varying Magnetic FieldParticle Trapping in Magnetic MirrorsAdiabatic Invariants
Chapter 7. Macroscopic Equations of Plasmas
IntroductionElectromagnetic Energy and Momentum Addition to PlasmasConservation Equations of Magnetofluid Mechanics
Single Fluid Equations of Magnetofluid Mechanics
The MHD ApproximationsSimilarity Parameters
Chapter 8. Hydromagnetics—Fluid Behavior of Plasmas
Introduction
Basic Equations of Continuum Plasma Dynamics
Transport Effects in Plasmas and Plasma Devices
Kinematics (and Dynamics) of Magnetic Fields in Plasmas
Magnetohydrostatics
Hydromagnetic Stability
Waves in Plasma—Propagation of Perturbations
Fluid Waves and Shock Waves in Plasma
Chapter 9. Plasma Dynamics and Hydromagnetics: Reviews of Applications
Introduction
Plasma Acceleration and Energy Conversion
Plasma Thrusters
Magnetic Compression and Heating
Wave Heating of Plasmas
Magnetic Fusion Plasmas
Space Plasma Environment and Plasma Dynamics
Appendix A. Conversion between MKS and Gaussian System
Appendix B. Definite Integrals – Maxwellian Distribution Functions
Appendix C. Nomenclature
Appendix D. Problems
Index

Content preview from Introduction to Plasmas and Plasma Dynamics

Kinematics (and Dynamics) of Magnetic Fields in Plasmas

Depending on the order of magnitude of magnetic field, plasma conductivity, and flow properties, the magnetic field interaction with the plasma can demonstrate aspects of diffusion and convection (Cowling, 1957; Boyd and Sanderson, 1969). To examine this behavior, we consider the governing equations and some limiting cases.

We had seen above that Faraday's law can be expressed as:

$\begin{matrix} \frac{\partial \vec{B}}{\partial t} = - \nabla \times \vec{E} = - \nabla \times [\frac{\vec{J}}{σ} - \vec{v} \times \vec{B} + \frac{Ω_{e}}{B σ} (\vec{J} \times \vec{B})], and \\ \frac{\partial \vec{B}}{\partial t} = - \nabla \times [\frac{\nabla \times \vec{B}}{μ σ} - \vec{v} \times \vec{B} + \frac{Ω_{e}}{B σ} (\vec{J} \times \vec{B})] . \end{matrix}$

Now let us take:

\vec{J} \times \vec{B} \approx 0

. Then we have: ...

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Introduction to Plasmas and Plasma Dynamics

by Thomas M. York, Haibin Tang

Kinematics (and Dynamics) of Magnetic Fields in Plasmas

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.