Introduction 1
Part Ⅰ Vector Transport Processes 5
1 Non-equilibrium Thermodynamics 5
2 The Problem 13
2.1 Conservation Equations 14
2.2 The H Theorem and Local Equilibrium 18
3 Solution of the Boltzmann Equation 25
4 Calculation of the Currents 41
4.1 Diffusion Effects 41
4.2 Flow of Heat 45
5 Solution of the Integral Equations 51
6 The Transport Coefficients 61
7 Discussion of the Results 73
Part Ⅱ Tensorial Transport Processes 83
8 Viscomagnetism 83
8.1 The Integral Equation 83
8.2 The Stress Tensor 93
8.3 The Integral Equation 99
8.4 Comparison with Thermodynamics 102
9 Magnetohydrodynamics 107
Appendix A Calculation of M 125
Appendix B Linearized Boltzmann Collision Kernels 129
Appendix C The Case when ? = ? 133
Appendix D The Collision Integrals 145
Appendix E Calculation of the Coefficients a(o)i, a(1)i, d(o)oi and d(1)i 153
Appendix F 155
Appendix G 157
Appendix H 159
Appendix I List of Marshall's Equations and Notation 161
I.1 Equations 161
I.2 Notation 162
Index 165