| Preface |
| List of Constants |
| 1. Classical Thermodynamics |
| 1.1 Thermodynamics and statistical mechanics |
| 1.2 Thermodynamical equilibrium |
| 1.3 Zeroth law of thermodynamics |
| 1.4 First law of thermodynamics. Internal energy |
| 1.5 Ideal gases |
| 1.6 Second law of thermodynamics. Absolute temperature |
| 1.7 Entropy. Clausius' inequality |
| 1.8 Illustrative problems |
| 1.9 Law of incerasing entropy |
| Exercises 1 |
| 2. Applications of Classical Theory |
| 2.1 Two-parameter systems |
| 2.2 Enthalpy, free energy and Gibbs function |
| 2.3 Experimental characteristics for a fluid |
| 2.4 Characteristics of a fluid |
| 2.5 Adiabatic demagnetization |
| 2.6 Thermal radiation |
| 2.7 Phase equilibrium |
| 2.8 Vapour-pressure curve. Clapeyron's equation |
| 2.9 Gibbs' phase rule |
| Exercises 2 |
| 3. Classical Statistics. Maxwell's distribution |
| 3.1 Hypothesis of random states |
| 3.2 The Gibbs ensemble |
| 3.3 Liouville's theorem |
| 3.4 Thermodynamical equilibrium |
| 3.5 Maxwell-Boltzmann distribution law |
| 3.6 Thermodynamics of a Maxwell gas |
| 3.7 Gas of point molecules |
| 3.8 Boltzmann's principle. Disorder of systems |
| Exercises 3 |
| 4. Method of Mean Values |
| 4.1 Statistical analysis of Maxwell-Boltzmann distribution |
| 4.2 Mixture of gases |
| 4.3 System in a heat bath. Canonical ensemble |
| 4.4 Partition functions for mixtures |
| 4.5 Gas of diatomic molecules |
| 4.6 Parmagnetic materials. Langevin's function |
| 4.7 Additional constraints |
| 4.8 Equipartition of energy. Law of Dulong and Petit |
| 4.9 Entropy and information |
| Exercises 4 |
| 5. Quantum Statistics |
| 5.1 Quantization of phase space |
| 5.2 Density matrix |
| 5.3 Liouville's theorem |
| 5.4 Quantum interpretation of classical theory of molecualr aggregates |
| 5.5 Absolute zero. Third law of thermodynamics |
| 5.6 Grand canonical ensemble |
| 5.7 Thermodynamics of an open system |
| 5.8 Classical gas of indistinguishable molecules |
| Exercises 5 |
| 6. Crystals and Magnets |
| 6.1 Einstein's model of a crystal |
| 6.2 Debye's model for a crystal. Phonons |
| 6.3 Quantum theory of paramagnetic materials |
| Exercises 6 |
| 7. Bose-Einstein and Fermi-Dirac Statistics |
| 7.1 Gas of indistinguishable non-interacting molecules |
| 7.2 Gas of point bosons |
| 7.3 Gas of bosons with rotational energy |
| 7.4 Fermion gas |
| 7.5 Conduction electrons in m |
| 7.6 Photon gas |
| Exercises 7 |
| Appendices |
| A. Electromagnetic field energy |
| B. Stirling's formula |
| C. Evaluation of a contour integral |
| Bibliography |
| Index |