| Foreword | p. xi |
| Preface | p. xiii |
| Preface to the Original Edition | p. xvii |
| Introduction | p. 1 |
| General remarks | p. 1 |
| Phenomena at various densities and temperatures | p. 2 |
| Quantum pressure and compressibility | p. 6 |
| Pressure-temperature diagram | p. 8 |
| Radiation effects | p. 11 |
| A summary of thermodynamics | p. 15 |
| Phenomenology | p. 15 |
| Statistical picture | p. 21 |
| Maxwell-Boltzmann distribution | p. 23 |
| Equation of state for an ideal gas | p. 28 |
| The partition function | p. 28 |
| Thermodynamic functions | p. 30 |
| The Gibbs' paradox | p. 31 |
| Law of equipartition of energy and effects of vibrational and rotational motions | p. 34 |
| Classical considerations | p. 34 |
| The partition function | p. 40 |
| The vibrational partition function | p. 42 |
| The rotational partition function | p. 44 |
| The electronic partition function | p. 47 |
| Summary | p. 47 |
| Bose-Einstein equation of state | p. 49 |
| Introduction | p. 49 |
| Classical statistics | p. 50 |
| Bose-Einstein statistics without restriction on the total number of particles: photons | p. 51 |
| Bose-Einstein statistics for a constant number of particles | p. 55 |
| Bose-Einstein condensation | p. 62 |
| Fermi-Dirac equation of state | p. 66 |
| Overview | p. 66 |
| The grand partition function and other thermodynamic functions | p. 66 |
| The Fermi-Dirac distribution function | p. 69 |
| Relativistic considerations | p. 76 |
| Adiabatic processes | p. 83 |
| Non-relativistic case | p. 83 |
| Extreme relativistic case | p. 84 |
| Ionization equilibrium and the Saha equation | p. 86 |
| Introduction | p. 86 |
| The thermodynamic formulation | p. 86 |
| The Saha ionisation formula | p. 89 |
| Debye-Huckel equation of state | p. 96 |
| Introduction | p. 96 |
| Charged particle description | p. 97 |
| Electrostatic energy | p. 99 |
| Total free energy and equation of state | p. 101 |
| The Thomas-Fermi and related models | p. 104 |
| Overview | p. 104 |
| The Thomas-Fermi model at T = 0 | p. 105 |
| Consideration of a gas of atoms | p. 108 |
| Solution of the Thomas-Fermi equation | p. 109 |
| Derivation of the Thomas-Fermi equation using variational principle | p. 120 |
| The kinetic and potential energies of an atom | p. 121 |
| Calculation of pressure | p. 128 |
| Inclusion of exchange interaction: the Thomas-Fermi-Dirac equation | p. 132 |
| Calculation of pressure | p. 136 |
| Derivation of equation (9.103) using the virial theorem | p. 139 |
| The Thomas-Fermi model at finite temperatures | p. 141 |
| Calculation of thermodynamic functions | p. 144 |
| Exchange and quantum corrections to the Thomas-Fermi model | p. 149 |
| Gruneisen equation of state | p. 153 |
| Introduction | p. 153 |
| The Einstein model of solids | p. 155 |
| The Debye model of solids | p. 157 |
| The Gruneisen relation | p. 160 |
| Slater-Landau calculation of [gamma] | p. 161 |
| Results and discussion | p. 164 |
| An introduction to fluid mechanics in relation to shock waves | p. 165 |
| Fluid equations of motion | p. 165 |
| Mass conservation equation | p. 165 |
| Momentum conservation equation | p. 166 |
| Energy conservation equation | p. 167 |
| Sound waves and Rieman invariants | p. 169 |
| Rarefaction waves | p. 173 |
| Shock waves and the Hugoniot relation | p. 176 |
| Derivation of hydrodynamics from kinetic theory | p. 184 |
| Foundations of hydromechanics | p. 184 |
| Distribution functions and the Boltzmann equation | p. 185 |
| Loss of information | p. 189 |
| Derivation of macroscopic equations | p. 190 |
| The equation of continuity (mass conservation) | p. 191 |
| The equation of motion (momentum conservation) | p. 191 |
| Studies of the equations of state from high pressure shock waves in solids | p. 197 |
| Introduction | p. 197 |
| The Gruneisen coefficient [gamma](V) and an equation for the cold pressure P[subscript c] | p. 200 |
| The specific volume V[subscript oc] of the 'zero point' and the initial conditions for the P[subscript c] equation | p. 204 |
| Isentropic processes near the Hugoniot curve and the free surface velocity | p. 208 |
| Equations of state for aluminum, copper and lead | p. 210 |
| Semi-empirical interpolation equation of state | p. 217 |
| Equation of state and inertial confinement fusion | p. 221 |
| Pellet fusion | p. 221 |
| The limiting case of isentropic (shock-free) volume ignition (self-similarity model) | p. 223 |
| Central core ignition with minimized entropy production | p. 232 |
| Alternative driving schemes: nonlinear force, cannon ball | p. 242 |
| The nonlinear-force pushing | p. 242 |
| The cannon ball scheme | p. 244 |
| The two-temperature equation of state | p. 246 |
| Electronic contributions to the EOS | p. 247 |
| The ion contributions to the EOS | p. 248 |
| Results and discussion | p. 255 |
| Applications of equations of state in astrophysics | p. 257 |
| Overview | p. 257 |
| The equation of state for an ideal gas | p. 259 |
| The equation of state for a degenerate electron gas | p. 262 |
| The radiation pressure | p. 267 |
| The equation of hydrostatic equilibrium | p. 267 |
| Expressions for pressure and temperature inside a star | p. 269 |
| Numerical estimates of P[subscript c], P and T by assuming uniform density inside the star | p. 272 |
| Some useful theorems | p. 273 |
| The gravitational potential energy and the virial theorem | p. 274 |
| The gravitational potential energy | p. 274 |
| The virial theorem | p. 275 |
| Qualitative understanding of the evolution of a star | p. 279 |
| The contribution due to radiation pressure | p. 283 |
| The polytropic model | p. 286 |
| The standard model | p. 294 |
| The white dwarf stars | p. 299 |
| Solution of the equation of hydrostatic equilibrium for a completely degenerate gas in the extreme relativistic limit | p. 300 |
| The general solution corresponding to a completely degenerate gas | p. 301 |
| Equations of state in elementary particle physics | p. 305 |
| Overview | p. 305 |
| Hagedorn model of strong interactions | p. 306 |
| Introduction | p. 306 |
| The partition function | p. 308 |
| The bootstrap condition | p. 310 |
| The thermodynamic functions: pressure and energy | p. 315 |
| Transverse momentum distribution | p. 317 |
| Appendixes | p. 321 |
| A free particle inside a box and the density of states | p. 321 |
| The Stirling formula | p. 325 |
| Table of Fermi-Dirac functions | p. 326 |
| Derivation of the virial theorem result | p. 333 |
| Tables of Thomas-Fermi corrected equation of state | p. 337 |
| Some mathematical relations for Chapter 13 | p. 351 |
| A note on the Lawson criterion | p. 353 |
| Derivation of the equation describing hydrostatic equilibrium for a completely degenerate gas | p. 354 |
| References | p. 355 |
| Index | p. 362 |
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