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Plasma Astrophysics： History and Nei ours

1 Particles and Fields： Exact Self-C***istent Deion

1.1 In***cting particles and Liouville's theorem

1.1.1 Continuity in phase space

1.1.2 The character of particle in***cti***

1.1.3 The Lorentz force, gravity

1.1.4 Collisional friction in plasma

1.1.5 The exact distribution function

1.2 Charged particles in the electromagnetic field

1.2.1 General formulation of the problem

1.2.2 The continuity equation for electric charge

1.2.3 Initial equati*** and initial conditi***

1.2.4 Astrophysical plasma applicati***

1.3 Gravitational systems

1.4 Practice： Exercises and Answers

2 Statistical Deion ofln***cting Particle Systems

2.1 The averaging of Liouville's equation

2.1.1 Averaging over phase space

2.1.2 Two statistical postulates

2.1.3 A statistical mechanism of mixing in phase space

2.1.4 The derivation of a general kinetic equation

2.2 A collisionalintegral and correlation functi***

2.2.1 Binary in***cti***

2.2.2 Binary correlation

2.2.3 The collisional integral and binary correlation

2.3 Equati*** for correlation functi***

2.4 Practice： Exercises and Answers

3 Weakly-Coupled Systems with Binary Collisi***

3.1 Approximati*** for binary collisi***

3.1.1 The small parameter of kinetic theory

3.1.2 The Vlasov kinetic equation

3.1.3 The Landau collisionalintegral

3.1.4 The Fokker-Planck equation

3.2 Correlation function and Debye shielding

3.2.1 The Maxwellian distribution function

3.2.2 The averaged force and electric neutrality

3.2.3 Pair correlati*** and the Debye radius

3.3 Gravitational systems

3.4 Comments on numerical simulati***

3.5 Practice： Exercises and Answers

4 Propagation of Fast Particles in Plasma

4.1 Derivation of the basic kinetic equation

4.1.1 Basic approximati***

4.1.2 Dimensionless kinetic equation in energy space

4.2 A kinetic equation at high speeds

4.3 The classical thick-target model

4.4 The role of angular diffusion

4.4.1 An approximate account of scattering

4.4.2 The thick-target model

4.5 The reverse-current electric-field effect

4.5.1 The necessity for a beam-neutralizing current

4.5.2 Formulation of a realistic kinetic problem

4.5.3 Dimensionless parameters of the problem

4.5.4 Coulomb losses of energy

4.5.5 New physical results

4.5.6 To the future models

4.6 Practice：Exercises and Answers

5 Motion of a Charged Particle in Given Fields

5.1 A particle in c***tant homogeneous fields

5.1.1 Relativistic equation of motion

5.1.2 C***tant non-magnetic forces

5.1.3 C***tant homogeneous magnetic fields

5.1.4 Non-magnetic force in a magnetic field

5.1.5 Electricand gravitational drifts

5.2 Weakly inhomogeneous slowly changing fields

5.2.1 Small parameters in the motion equation

5.2.2 Expansion in powers of me

5.2.3 The averaging over gyromotion

5.2.4 Spiral motion of the guiding center

5.2.5 Gradient and inertial drifts

……

6 Adiabatic Invariants in Astrophysical Plasma

7 Wave-Particle In***ction in Astrophysical Plasma

8 Coulomb Collisi*** in Astrophysical Plasma

9 Macroscopic Deion of Astrophysical Plasma

10 Multi-Fluid Models of Astrophysical Plasma

11 The Generalized Ohm-s Law in Plasma

12 Single-Fluid Models for Astrophysical Plasma

13 Magnetohydrodynamics in Astrophysics

14 Plasma Flows in a Strong Magnetic Field

15 MHD Waves in Astrophysical Plasma

16 Discontinuous Flows in a MHD Medium

17 Evolutionarity of MHD Discontinuities

18 Particle Acceleration by Shock Waves

19 Plasma Equilibrium in Magnetic Field

20 Stationary Flows in a Magnetic Field

Appendix 1. Notation

Appendix 2. Useful Expressi***

Appendix 3. C***tants

Bibliography

Index

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