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Cover image for Introduction to plasma physics : with space and laboratory applications
Title:
Introduction to plasma physics : with space and laboratory applications
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Publication Information:
Cambridge, UK : Cambridge University Press, 2005
Physical Description:
x, 452 p. : ill. ; 26 cm.
ISBN:
9780521367301
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30000010195890 QC718 G87 2005 Open Access Book Book
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Summary

Summary

The emphasis of this text is on basic plasma theory, with applications to both space and laboratory plasmas. All mathematical concepts beyond those normally covered in an advanced calculus course are fully explained. Topics covered include single-particle motions, kinetic theory, magnetohydrodynamics, small amplitude waves in both cold and hot plasmas, nonlinear phenomena and collisional effects. Applications include planetary magnetospheres and radiation belts, the confinement and stability of plasmas in fusion devices, the propagation of discontinuities and shock waves in the solar wind, and the analysis of various types of plasma waves and instabilities that can occur in planetary magnetospheres and laboratory plasma devices. This book is structured as a text for a one- or two-semester introductory course in plasma physics at the advanced undergraduate or first-year graduate level. It can also serve as a resource book on the basic principles of plasma physics.


Reviews 1

Choice Review

Gurnett (Univ. of Iowa) and Bhattacharjee (Univ. of New Hampshire) have prepared a rather complete course resource on the physics of plasmas, very suitable as a teaching aid. Well produced, with essential references and advice for supplemental reading, the book is illustrated with line drawings and has a fairly complete index. A close reading would provide a very good resource for senior undergraduates and graduate students. The appropriate mathematical emphasis means that a few lectures on experimental work and results might be an important addition to provide balance. Some observations, mostly from space instruments, are described. As expected from these authors, plasma instability is quite extensively treated, and about 150 pages are devoted to waves in plasmas. Besides being a course resource, the book forms a useful reference for working plasma physicists and can be recommended to both types of user. Some problems are provided at the end of each chapter. ^BSumming Up: Highly recommended. Upper-division undergraduates through professionals. K. W. Ogilvie NASA/Goddard Space Flight Center


Table of Contents

Prefacep. ix
1 Introductionp. 1
2 Characteristic parameters of a plasmap. 5
2.1 Number density and temperaturep. 5
2.2 Debye lengthp. 7
2.3 Plasma frequencyp. 10
2.4 Cyclotron frequencyp. 12
2.5 Collision frequencyp. 13
2.6 Number of electrons per Debye cubep. 15
2.7 The de Broglie wavelength and quantum effectsp. 17
2.8 Representative plasma parametersp. 18
3 Single particle motionsp. 23
3.1 Motion in a static uniform magnetic fieldp. 23
3.2 Motion in perpendicular electric and magnetic fieldsp. 26
3.3 Gradient and curvature driftsp. 32
3.4 Motion in a magnetic mirror fieldp. 39
3.5 Motion in a time varying magnetic fieldp. 45
3.6 Adiabatic invariantsp. 48
3.7 The Hamiltonian methodp. 60
3.8 Chaotic orbitsp. 68
4 Waves in a cold plasmap. 75
4.1 Fourier representation of wavesp. 75
4.2 General form of the dispersion relationp. 84
4.3 Waves in a cold uniform unmagnetized plasmap. 87
4.4 Waves in a cold uniform magnetized plasmap. 94
4.5 Ray paths in inhomogeneous plasmasp. 127
5 Kinetic theory and the moment equationsp. 137
5.1 The distribution functionp. 137
5.2 The Boltzmann and Vlasov equationsp. 140
5.3 Solutions based on constants of the motionp. 144
5.4 The moment equationsp. 146
5.5 Electron and ion pressure wavesp. 155
5.6 Collisional drag forcep. 162
5.7 Ambipolar diffusionp. 166
6 Magnetohydrodynamicsp. 175
6.1 The basic equations of MHDp. 175
6.2 Magnetic pressurep. 183
6.3 Magnetic field convection and diffusionp. 185
6.4 The energy equationp. 192
6.5 Magnetohydrodynamic wavesp. 195
6.6 Static MHD equilibriump. 204
6.7 MHD stabilityp. 219
6.8 Magnetic reconnectionp. 240
7 Discontinuities and shock wavesp. 251
7.1 The MHD jump conditionsp. 252
7.2 Classification of discontinuitiesp. 255
7.3 Shock wavesp. 258
8 Electrostatic waves in a hot unmagnetized plasmap. 281
8.1 The Vlasov approachp. 281
8.2 The Landau approachp. 290
8.3 The plasma dispersion functionp. 308
8.4 The dispersion relation for a multi-component plasmap. 311
8.5 Stabilityp. 318
9 Waves in a hot magnetized plasmap. 341
9.1 Linearization of the Vlasov equationp. 342
9.2 Electrostatic wavesp. 345
9.3 Electromagnetic wavesp. 367
10 Non-linear effectsp. 391
10.1 Quasi-linear theoryp. 391
10.2 Stationary non-linear electrostatic potentialsp. 406
11 Collisional processesp. 415
11.1 Binary Coulomb collisionsp. 416
11.2 Importance of small-angle collisionsp. 417
11.3 The Fokker-Planck equationp. 420
11.4 Conductivity of a fully ionized plasmap. 427
11.5 Collision operator for Maxwellian distributions of electrons and ionsp. 431
Appendix A Symbolsp. 435
Appendix B Vector differential operatorsp. 441
Appendix C Vector calculus identitiesp. 443
Indexp. 445
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