| Preface 1 Special Relativity 1.1 Introduction 1.2 Lorentz transformations 1.3 Tensors in Minkowski spaces 1.4 Relativistic mechanics 1.4.1 Four-velocity 1.4.2 Minkowski force 1.4.3 Elastic collisions 1.4.4 Relative velocity 1.5 Electrodynamics in free space 1.5.1 Maxwell equations 1.5.2 Energy-momentum tensor 1.5.3 Retarded potentials 2 Relativistic Boltzmann Equation 2.1 Single non-degenerate gas 2.2 Single degenerate gas 2.3 General equation of transfer 2.4 Summational invariants 2.5 Macroscopic description 2.6 Local Lorentz rest frame 2.7 Equilibrium distribution function 2.8 Trend to equilibrium. Htheorem 2.9 The projector 2.10 Equilibrium states 3 Fields in Equilibrium 3.1 The general case 3.2 Non-degenerate gas 3.2.1 Modified Bessel function of second kind. 3.2.2 Expressions for n, e and p 3.2.3 Non-relativistic limit 3.2.4 Ultra-relativistic limit 3.3 Degenerate relativistic Fermi gas 3.3.1 Completely degenerate relativistic Fermi gas 3.3.2 White dwarf stars 3.3.3 Strongly degenerate relativistic Fermi gas 3.4 Degenerate relativistic Bose gas 3.4.1 Some useful integrals 3.4.2 Relativistic Bose-Einstein condensation 4 Thermomechanics of Relativistic Fluids 4.1 Introduction 4.2 Thermodynamics of perfect fluids 4.3 Eckart decomposition 4.4 Landau and Lifshitz decomposition 4.5 Thermodynamics of a single fluid 5 Chapman-Enskog Method 5.1 Introduction 5.2 Simplified version 5.3 The integrals I1, I2 and I3 5.4 Transport coefficients 5.4.1 Hard-sphere particles 5.4.2 Israel particles 5.5 Formal version 5.5.1 Integral equations 5.5.2 Second approximation 5.5.3 Orthogonal polynomials 5.5.4 Expansion in orthogonal polynomials 5.6 Appendix 6 Method of Moments 6.1 Introduction 6.2 Grad distribution function 6.3 Constitutive equations for Tαβr and Pαβ 6.4 Linearized field equations 6.5 Five-field theory 6.5.1 Laws of Navier-Stokes and Fourier 6.5.2 Linearized Burnett equations 6.6 Maxwellian particles 6.7 Combined method of Chapman Enskog and Grad 7 Chemically Reacting Gas Mixtures 7.1 Introduction 7.2 Boltzmann and transfer equations 7.3 Maxwell-Jiittner distribution function 7.4 Thermodynamics of mixtures …… 8 Model Equations 9 Wave Phenomena in a Relativistic Gas 10 Tensor Calculus in General Coordinates 11 Riemann Spaces and General Relativity 12 Boltzmann Equation in Gravitational Fields 13 The Vlasov Equation and Related Systems Physical Constants Modified Bessel Function Index |
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