文档介绍：Fundamentals of Plasma Physics
Paul M. Bellan
to my parents
Contents
Preface xi
1 Basic concepts 1
History of the term “plasma” 1
Brief history of plasma physics 1
Plasma parameters 3
Examples of plasmas 3
Logical framework of plasma physics 4
Debye shielding 7
Quasi-neutrality 9
Small v. large angle collisions in plasmas 11
Electron and ion collision frequencies 14
Collisions with neutrals 16
Simple transport phenomena 17
A quantitative perspective 20
Assignments 22
2 Derivation of 1uid equations: Vlasov, 2-1uid, MHD 30
Phase-space 30
Distribution function and Vlasov equation 31
Moments of the distribution function 33
Two-2uid equations 36
ohydrodynamic equations 46
Summary of MHD equations 52
Sheath physics and Langmuir probe theory 53
Assignments 58
3 Motion of a single plasma particle 62
Motivation 62
Hamilton-Lagrange formalism v. Lorentz equation 62
Adiabatic invariant of a pendulum 66
Extension of WKB method to general adiabatic invariant 68
Drift equations 73
Relation of Drift Equations to the Double Adiabatic MHD Equations 91
Non-adiabatic motion in symmetric geometry 95
Motion in small-amplitude oscillatory 5elds 108
Wave-particle energy transfer 110
Assignments 119
viii
4 Elementary plasma waves 123
General method for analyzing small amplitude waves 123
Two-2uid theory of ized plasma waves 124
Low frequency ized plasma: Alfvén waves 131
Two-2uid model of Alfvén modes 138
Assignments 147
5 Streaming instabilities and the Landau problem 149
Streaming instabilities 149
The Landau problem 153
The Penrose criterion 172
Assignments 175
6 Cold plasma waves in a ized plasma 178
Redundancy of Poisson’s equation in ic mode analysis 178
Dielectric tensor 179
1 1
Dispersion relation expressed as