| Preface | p. xi |
| The Kinetic Theory of Gases | p. 1 |
| Introduction | p. 3 |
| Velocity and Position Distributions of Molecules in a Gas | p. 6 |
| Avogadro's law, or the equation of state of an ideal gas | |
| Temperature and thermal equilibrium | p. 9 |
| Equipartition of energy per molecule and its constituent parts--a fundamental problem | p. 13 |
| The density in an isothermal atmosphere--the Boltzmann factor in the potential energy | p. 20 |
| The Maxwell-Boltzmann distribution | p. 24 |
| Averages and distributions | p. 28 |
| Brownian Motion | p. 32 |
| Historical background | p. 32 |
| Characteristic scales of Brownian motion | p. 33 |
| Random walk | p. 35 |
| Brownian motion, random force and friction: the Langevin equation | p. 37 |
| Solving the Langevin equation: approximations and orders of magnitude | p. 41 |
| Applications and implications | p. 44 |
| Transport Coefficients | p. 49 |
| Introduction | p. 49 |
| The mean free path and mean free time | p. 50 |
| Self-diffusion | p. 56 |
| The mobility coefficient | p. 61 |
| The connection between the diffusion coefficient and the mobility | p. 63 |
| Viscosity and thermal conductivity | p. 64 |
| Appendix: a more detailed calculation of the diffusion coefficient | p. 68 |
| Self-assessment exercises | p. 71 |
| Solutions to exercises in the text | p. 74 |
| Solutions to self-assessment exercises | p. 107 |
| Statistical Physics with Paramagnets | p. 119 |
| Introduction | p. 121 |
| Essential Background in Thermodynamics | p. 124 |
| The first law | p. 124 |
| The second law and the entropy | p. 128 |
| Thermodynamic potentials | p. 129 |
| The third law | p. 133 |
| Thermodynamics with Magnetic Variables | p. 134 |
| Introduction | p. 134 |
| The first law in magnetic variables | p. 136 |
| Microscopic States and Averages | p. 138 |
| Magnetic states, angular momentum and paramagnetism | p. 138 |
| Microscopic states, observables | p. 141 |
| Probabilities and averages | p. 143 |
| Isolated Paramagnet--Microcanonical Ensemble | p. 147 |
| Number of states and probabilities | p. 147 |
| Calculating averages and correlations | p. 149 |
| Numerical examples and Stirling's formula | p. 152 |
| Isolated Paramagnet--Subsystems and Temperature | p. 156 |
| Microscopic states and thermodynamic equilibrium | p. 156 |
| [beta] and the temperature | p. 157 |
| Sharpness of the maximum | p. 158 |
| Identification of temperature and entropy | p. 161 |
| Negative temperature | p. 163 |
| Summary | p. 164 |
| Paramagnet at a Given Temperature | p. 165 |
| The canonical ensemble | p. 165 |
| The partition function and thermodynamic quantities | p. 167 |
| Susceptibility and specific heat of a paramagnet | p. 170 |
| Paramagnet with J ] 1/2 | p. 173 |
| Order, Disorder and Entropy | p. 174 |
| Comparison with Experiment | p. 177 |
| Summary | p. 178 |
| Self-assessment exercises | p. 180 |
| Solutions to exercises in the text | p. 183 |
| Solutions to self-assessment exercises | p. 213 |
| Statistical Physics and Thermodynamics | p. 223 |
| Introduction | p. 225 |
| The Canonical Ensemble and Thermodynamics | p. 226 |
| The partition function and the internal energy | p. 226 |
| Thermodynamic work | p. 228 |
| Entropy, free energy, the first and second laws | p. 233 |
| The paramagnet--revisited | p. 236 |
| On the statistical meaning of the free energy | p. 237 |
| Harmonic Oscillator and Einstein Solid | p. 243 |
| Microscopic states | p. 243 |
| Partition function for oscillators | p. 245 |
| Einstein's solid | p. 248 |
| Statistical Mechanics of Classical Systems | p. 253 |
| Statistical mechanics of a single particle | p. 253 |
| Statistical mechanics of a classical gas | p. 258 |
| Statistical Mechanics of an Ideal Gas | p. 261 |
| The ideal gas | p. 261 |
| Mixtures of ideal gases--Dalton's law | p. 263 |
| Maxwell-Boltzmann distribution and equipartition | p. 265 |
| Ideal gas of quantum particles | p. 268 |
| The Gibbs Paradox and the Third Law | p. 275 |
| Two difficulties | p. 275 |
| The Gibbs paradox and its resolution | p. 276 |
| Remarks on the third law of thermodynamics | p. 281 |
| Summary | p. 283 |
| Fluctuations and Thermodynamic Quantities | p. 284 |
| Paramagnet: fluctuations in the magnetization | p. 284 |
| Energy fluctuations and the specific heat | p. 286 |
| Summary | p. 287 |
| Self-assessment exercises | p. 288 |
| Solutions to exercises in the text | p. 292 |
| Solutions to self-assessment exercises | p. 322 |
| From Ideal Gas to Photon Gas | p. 337 |
| Introduction | p. 339 |
| An Ideal Gas of Molecules with Internal Degrees of Freedom | p. 340 |
| Center of mass and internal motions | p. 340 |
| Kinematics of a diatomic molecule | p. 342 |
| Gas of general composite molecules | p. 346 |
| Diatomic gas: classical treatment | p. 352 |
| Diatomic molecules: vibration and rotation | p. 356 |
| The equipartition principle and its violation | p. 361 |
| Diatomic gas--quantum calculation | p. 363 |
| Gases in Chemical Reactions | p. 366 |
| Conditions for chemical equilibrium | p. 366 |
| The law of mass action | p. 368 |
| Dissociation in a diatomic gas | p. 373 |
| Phonon Gas and the Debye Model | p. 376 |
| Sound waves in a crystal | p. 376 |
| Vibrational modes, phonons and enumeration of states | p. 379 |
| The Debye model | p. 382 |
| Thermodynamics of Electromagnetic Radiation | p. 385 |
| General considerations of radiation at thermal equilibrium | p. 385 |
| Radiation density | p. 387 |
| Black body radiation | p. 390 |
| Absorption and emission of radiation--Kirchhoff's law | p. 394 |
| Role of black body radiation in modern physics | p. 398 |
| Calculation of Some Integrals | p. 401 |
| Self-assessment exercises | p. 403 |
| Solutions to exercises in the text | p. 406 |
| Solutions to self-assessment exercises | p. 434 |
| Of Fermions and Bosons | p. 451 |
| Introduction | p. 453 |
| Grand Canonical Ensemble | p. 454 |
| Definitions and motivation | p. 454 |
| Connection to thermodynamics | p. 455 |
| Statistical Mechanics of Identical Quantum Particles | p. 458 |
| Classification of states--occupation numbers | p. 458 |
| Quantum statistics--many-particle states | p. 460 |
| Thermodynamics of fermions and bosons | p. 461 |
| Average occupation numbers | p. 463 |
| Electrical Conductivity in Metals | p. 466 |
| The Drude model | p. 466 |
| A critique of the Drude model | p. 470 |
| The Sommerfeld model | p. 471 |
| Electrons at high and low temperatures | p. 474 |
| Metals at room temperature | p. 478 |
| Thermodynamics of the Sommerfeld model | p. 479 |
| Boson Gas | p. 485 |
| Bose-Einstein distribution | p. 485 |
| Chemical potential at low temperatures | p. 486 |
| Bose-Einstein condensation | p. 488 |
| Superfluidity | p. 490 |
| Bose-Einstein condensation in helium | p. 493 |
| Viscosity of a superfluid | p. 497 |
| Fermi liquid and superconductivity | p. 503 |
| Calculation of Some Integrals | p. 509 |
| Self-assessment exercises | p. 512 |
| Solutions to exercises in the text | p. 514 |
| Solutions to self-assessment exercises | p. 536 |
| Index | p. 547 |
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