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Fundamentals of Plasma Physics

ISBN-10: 0521821169

ISBN-13: 9780521821162

Edition: 2005

Authors: Paul M. Bellan

List price: $91.00
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Description:

Relevant to diverse plasma applications such as controlled fusion, astrophysical plasmas, solar physics, magnetospheric plasmas, and plasma thrusters, this volume exploits new powerful mathematical techniques to develop deeper insights into plasma behavior. After developing the basic plasma equations from first principles, the book explores single particle motion with particular attention to adiabatic invariance. The author then examines types of plasma waves and the issue of Landau damping. Magnet ohydrodynamic equilibrium and stability are tackled with emphasis on the topological concepts of magnetic helicity and self-organization. Advanced topics follow.
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Book details

List price: $91.00
Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 4/6/2006
Binding: Hardcover
Pages: 628
Size: 6.75" wide x 9.75" long x 1.50" tall
Weight: 3.058
Language: English

Preface
Basic concepts
History of the term "plasma"
Brief history of plasma physics
Plasma parameters
Examples of plasmas
Logical framework of plasma physics
Debye shielding
Quasi-neutrality
Small- vs. large-angle collisions in plasmas
Electron and ion collision frequencies
Collisions with neutrals
Simple transport phenomena
A quantitative perspective
Assignments
The Vlasov, two-fluid, and MHD models of plasma dynamics
Overview
Phase-space
Distribution function and Vlasov equation
Moments of the distribution function
Two-fluid equations
Magnetohydrodynamic equations
Summary of MHD equations
Classical transport
Sheath physics and Langmuir probe theory
Assignments
Motion of a single plasma particle
Motivation
Hamilton-Lagrange formalism vs. Lorentz equation
Adiabatic invariant of a pendulum
Extension of WKB method to general adiabatic invariant
Drift equations
Relation of drift equations to the double adiabatic MHD equations
Non-adiabatic motion in symmetric geometry
Particle motion in small-amplitude oscillatory fields
Wave-particle energy transfer
Assignments
Elementary plasma waves
General method for analyzing small-amplitude waves
Two-fluid theory of unmagnetized plasma waves
Low-frequency magnetized plasma: Alfven waves
Two-fluid model of Alfven modes
Assignments
Streaming instabilities and the Landau problem
Overview
Streaming instabilities
The Landau problem
The Penrose criterion
Assignments
Cold plasma waves in a magnetized plasma
Overview
Redundancy of Poisson's equation in electromagnetic mode analysis
Dielectric tensor
Dispersion relation expressed as a relation between n<sub>x</sub><sup>2</sup> and n<sub>z</sub><sup>2</sup>
A journey through parameter space
High-frequency waves: Altar-Appleton-Hartree dispersion relation
Group velocity
Quasi-electrostatic cold plasma waves
Resonance cones
Assignments
Waves in inhomogeneous plasmas and wave-energy relations
Wave propagation in inhomogeneous plasmas
Geometric optics
Surface waves - the plasma-filled waveguide
Plasma wave-energy equation
Cold plasma wave-energy equation
Finite-temperature plasma wave-energy equation
Negative energy waves
Assignments
Vlasov theory of warm electrostatic waves in a magnetized plasma
Solving the Vlasov equation by tracking each particle's history
Analysis of the warm plasma electrostatic dispersion relation
Bernstein waves
Finite k<sub></sub> dispersion: linear mode conversion
Analysis of linear mode conversion
Drift waves
Assignments
MHD equilibria
Why use MHD?
Vacuum magnetic fields
Force-free fields
Magnetic pressure and tension
Magnetic stress tensor
Flux preservation, energy minimization, and inductance
Static versus dynamic equilibria
Static equilibria
Dynamic equilibria: flows
Assignments
Stability of static MHD equilibria
Introduction
The Rayleigh-Taylor instability of hydrodynamics
MHD Rayleigh-Taylor instability
The MHD energy principle
Discussion of the energy principle
Current-driven instabilities and helicity
Magnetic helicity
Characterization of free-boundary instabilities
Analysis of free-boundary instabilities
Assignments
Magnetic helicity interpreted and Woltjer-Taylor relaxation
Introduction
Topological interpretation of magnetic helicity
Woltjer-Taylor relaxation
Kinking and magnetic helicity
Assignments
Magnetic reconnection
Introduction
Water-beading: an analogy to magnetic reconnection
Qualitative description of sheet current instability
Semi-quantitative estimate of the tearing process
Generalization of tearing to sheared magnetic fields
Magnetic islands
Assignments
Fokker-Planck theory of collisions
Introduction
Statistical argument for the development of the Fokker-Planck equation
Electrical resistivity
Runaway electric field
Assignments
Wave-particle nonlinearities
Introduction
Vlasov nonlinearity and quasi-linear velocity space diffusion
Echoes
Assignments
Wave-wave nonlinearities
Introduction
Manley-Rowe relations
Application to waves
Instability onset via nonlinear dispersion method
Digging a density hole via ponderomotive force
Ion acoustic wave soliton
Assignments
Non-neutral plasmas
Introduction
Brillouin flow
Isomorphism to incompressible 2-D hydrodynamics
Near-perfect confinement
Diocotron modes
Assignments
Dusty plasmas
Introduction
Electron and ion current flow to a dust grain
Dust charge
Dusty plasma parameter space
Large P limit: dust acoustic waves
Dust ion acoustic waves
The strongly coupled regime: crystallization of a dusty plasma
Assignments
Appendices
Intuitive method for vector calculus identities
Vector calculus in orthogonal curvilinear coordinates
Frequently used physical constants and formulae
Bibliography and suggested reading
References
Index