|
|
|
1 | (76) |
|
1.1 Probability Set Function |
|
|
1 | (6) |
|
1.2 Random or Stochastic Variables |
|
|
7 | (2) |
|
1.3 The Probability Density Function |
|
|
9 | (5) |
|
1.4 The Distribution Function |
|
|
14 | (10) |
|
1.5 Expectations and Moments |
|
|
24 | (14) |
|
1.6 Conditional Probability and Marginal and Conditional Distribution |
|
|
38 | (12) |
|
1.7 Stochastic Independence |
|
|
50 | (4) |
|
1.8 Particular Distributions |
|
|
54 | (14) |
|
1.8.1 The Binomial Distribution |
|
|
54 | (3) |
|
1.8.2 The Poisson Distribution |
|
|
57 | (5) |
|
1.8.3 The Normal or Gaussian Distribution |
|
|
62 | (6) |
|
1.9 The Central Limit Theorem |
|
|
68 | (2) |
|
1.10 The Language of Fluid Turbulence |
|
|
70 | (7) |
|
2 The Boltzmann Transport Equation |
|
|
77 | (60) |
|
2.1 Derivation of the Boltzmann Transport Equation |
|
|
77 | (6) |
|
2.2 The Boltzmann Collision Operator |
|
|
83 | (9) |
|
2.3 The Boltzmann Equation and the Fluid Equations |
|
|
92 | (9) |
|
2.4 The Chapman-Enskog Expansion |
|
|
101 | (13) |
|
2.5 Application 1: Structure of Weak Shock Waves |
|
|
114 | (15) |
|
2.6 Application 2: The Diffusion and Telegrapher Equations |
|
|
129 | (8) |
|
3 Collisional Charged Particle Transport in a Magnetized Plasma |
|
|
137 | (58) |
|
3.1 The Kinetic Equation and Moments for a Magnetized Plasma |
|
|
137 | (9) |
|
3.2 Markov Processes, the Chapman-Kolmogorov Equation, and the Fokker-Planck Equation |
|
|
146 | (1) |
|
3.3 Collision Dynamics, the Rosenbluth Potentials, and the Landau Collision Operator |
|
|
147 | (7) |
|
3.4 Electron-Proton Collisions |
|
|
154 | (2) |
|
3.5 Collisions with a Maxwellian Background |
|
|
156 | (3) |
|
3.6 Collision Operator for Fast Ions |
|
|
159 | (1) |
|
3.7 Transport Equations for a Collisional Electron-Proton Plasma |
|
|
160 | (13) |
|
3.8 Application 1: Transport Perpendicular to a Mean Magnetic Field |
|
|
173 | (6) |
|
3.9 Application 2: The Equations of Magnetohydrodynamics |
|
|
179 | (9) |
|
3.10 Application 3: MHD Shock Waves |
|
|
188 | (7) |
|
4 Charged Particle Transport in a Collisionless Magnetized Plasma |
|
|
195 | (40) |
|
4.1 The Focussed Transport Equation |
|
|
195 | (14) |
|
4.2 Quasi-Linear Transport Theory of Charged Particles: Derivation of the Scattering Tensor |
|
|
209 | (4) |
|
4.3 Hydrodynamic Description of Energetic Particles |
|
|
213 | (15) |
|
4.4 Application 1: Diffusive Shock Acceleration |
|
|
228 | (7) |
|
5 The Transport of Low Frequency Turbulence |
|
|
235 | (18) |
|
5.1 Mean Field Description of MHD Fluctuations |
|
|
235 | (4) |
|
5.2 The Transport Equation for the Magnetic Energy Density |
|
|
239 | (5) |
|
5.3 Modelling the Dissipation Terms |
|
|
244 | (9) |
| References |
|
253 | (2) |
| Index |
|
255 | |
Biežāk uzdotie jautājumi par e-grāmatām