Microphysics of Gases / 1.: |
Thermodynamics / 1.1: |
Equation of State of a Perfect Gas |
First Law of Thermodynamics / 2.: |
Second Law of Thermodynamics / 3.: |
Thermal Properties of a Perfect Gas / 4.: |
Some Consequences of the Combined First and Second Laws / 5.: |
Kinetic Theory / 1.2: |
The Distribution Function and Boltzmann's Equation / 6.: |
The Collision Integral / 7.: |
The Maxwellian Velocity Distribution / 8.: |
Boltzmann's H-Theorem / 9.: |
The Time of Relaxation / 10.: |
Classical Statistical Mechanics / 1.3: |
Thermodynamic Probability and Entropy / 11.: |
Boltzmann Statistics / 12.: |
Ionization / 13.: |
Thermodynamic Properties of Ionizing Hydrogen / 14.: |
Dynamics of Ideal Fluids |
Kinematics / 2.1: |
Velocity and Acceleration / 15.: |
Particle Paths, Streamlines, and Streaklines / 16.: |
The Euler Expansion Formula / 17.: |
The Reynolds Transport Theorem / 18.: |
The Equation of Continuity / 19.: |
Vorticity and Circulation / 20.: |
The Cauchy-Stokes Decomposition Theorem / 21.: |
Equations of Motion and Energy / 2.2: |
The Stress Tensor / 22.: |
The Momentum Equation / 23.: |
The Energy Equation / 24.: |
Dynamics of Viscous and Heat-Conducting Fluids |
Equations of Motion and Energy: The Continuum View / 3.1: |
The Stress Tensor for a Newtonian Fluid / 25.: |
The Navier-Stokes Equations / 26.: |
Similarity Parameters / 27.: |
Equations of Motion and Energy: The Kinetic Theory View / 3.2: |
The Mean Free Path and Transport Phenomena / 29.: |
Moments of the Boltzmann Equation / 30.: |
Conservation Equations for Equilibrium Flow / 31.: |
The Chapman-Enskog Solution for Nonequilibrium Flow / 32.: |
Evaluation of the Transport Coefficients / 33.: |
Relativistic Fluid Flow |
Basic Concepts of Special Relativity / 4.1: |
The Relativity Principle / 34.: |
The Lorentz Transformation / 35.: |
Relativistic Kinematics of Point Particles / 36.: |
Relativistic Dynamics of Point Particles / 37.: |
Relativistic Dynamics of Ideal Fluids / 4.2: |
The Material Stress-Energy Tensor / 38.: |
The Four-Force Density / 41.: |
The Dynamical Equations / 42.: |
The Kinetic Theory View / 43.: |
Relativistic Dynamics of Nonideal Fluids / 4.3: |
The Stress-Energy Tensor / 44.: |
The Equations of Motion / 46.: |
Waves, Shocks, and Winds |
Acoustic Waves / 5.1: |
The Wave Equation / 48.: |
Propagation of Acoustic Waves / 49.: |
Wave Energy and Momentum / 50.: |
Damping of Acoustic Waves by Conduction and Viscosity / 51.: |
Acoustic-Gravity Waves / 5.2: |
The Wave Equation and Wave Energy / 52.: |
Propagation of Acoustic-Gravity Waves in an Isothermal Medium / 53.: |
Propagation of Acoustic-Gravity Waves in a Stellar Atmosphere / 54.: |
Shock Waves / 5.3: |
The Development of Shocks / 55.: |
Steady Shocks / 56.: |
Shock Structure / 57.: |
Propagation of Weak Shocks / 58.: |
Numerical Methods / 59.: |
Propagating Strong Shocks / 60.: |
Thermally Driven Winds / 5.4: |
Basic Model / 61.: |
Physical Complications / 62.: |
Radiation and Radiative Transfer |
The Radiation Field / 6.1: |
The Specific Intensity and Photon Distribution Function / 63.: |
The Mean Intensity and Radiation Energy Density / 64.: |
The Radiative Energy Flux and Momentum Density / 65.: |
The Radiation Pressure Tensor / 66.: |
Thermal Radiation / 6.2: |
Planck's Law / 67.: |
Stefan's Law / 68.: |
Thermodynamics of Equilibrium Radiation / 69.: |
Thermodynamics of Equilibrium Radiation Plus a Perfect Gas / 70.: |
Thermodynamics of Equilibrium Radiation Plus an Ionizing Gas / 71.: |
The Interaction of Radiation and Matter / 6.3: |
Absorption, Emission, and Scattering / 72.: |
The Einstein Relations / 73.: |
The Einstein-Milne Relations / 74.: |
Opacity and Emission Coefficients / 75.: |
The Equation of Transfer / 6.4: |
Derivation of the Transfer Equation / 76.: |
Optical Depth and Source Function / 77.: |
Moments of the Transfer Equation / 78.: |
Solution of the Transfer Equation / 6.5: |
Formal Solution / 79.: |
The Diffusion Limit / 80.: |
The Wave Limit / 81.: |
The Grey Atmosphere, Mean Opacities, and Multigroup Methods / 82.: |
Statistical Equilibrium in the Presence of a Radiation Field / 83.: |
The Microscopic Implications of LTE / 84.: |
Non-LTE Rate Equations / 85.: |
Thermal Properties of a Nonequilibrium Gas / 86.: |
Solution of the Coupled Transfer and Statistical Equilibrium Equations in Static Media / 6.7: |
The Two-Level Atom / 87.: |
The Complete Linearization Method / 88.: |
The Equations of Radiation Hydrodynamics |
Lorentz Transformation of the Transfer Equation / 7.1: |
The Photon Four-Momentum / 89.: |
Transformation Laws for the Specific Intensity, Opacity, and Emissivity / 90.: |
The Radiation Stress-Energy Tensor and Four-Force Vector / 91.: |
Covariant Form of the Transfer Equation / 92.: |
The Dynamical Equations for a Radiating Fluid / 7.2: |
The Inertial-Frame Transfer Equation for a Moving Fluid / 93.: |
Inertial-Frame Equations of Radiation Hydrodynamics / 94.: |
The Comoving-Frame Equation of Transfer / 95.: |
Comoving-Frame Equations of Radiation Hydrodynamics / 96.: |
Solution of the Equations of Radiation Hydrodynamics / 7.3: |
Radiation Diffusion Methods / 97.: |
Transport Solution in the Comoving Frame / 98.: |
Transport Solution by Mixed-Frame and VERA-Code Methods / 99.: |
Radiating Flows |
Small-Amplitude Disturbances / 8.1: |
Radiative Damping of Temperature Fluctuations / 100.: |
Propagation of Acoustic Waves in a Radiating Fluid / 101.: |
Propagation of Acoustic-Gravity Waves in a Radiating Fluid / 102.: |
Nonlinear Flows / 8.2: |
Thermal Waves / 103.: |
Propagating Shocks / 104.: |
Ionization Fronts / 106.: |
Radiation-Driven Winds / 107.: |
Elements of Tensor Calculus / Appendix: |
Notation / A1.: |
Cartesian Tensors / A2.: |
General Tensors / A3.: |
Glossary of Physical Symbols |
Index |
Microphysics of Gases / 1.: |
Thermodynamics / 1.1: |
Equation of State of a Perfect Gas |
First Law of Thermodynamics / 2.: |
Second Law of Thermodynamics / 3.: |
Thermal Properties of a Perfect Gas / 4.: |