| Ensembles in statistical mechanics | p. 1 |
| Notion of a phase space | p. 1 |
| Statistical ensemble and Liouville's theorem | p. 5 |
| Microcanonical ensemble | p. 6 |
| Entropy | p. 8 |
| Canonical ensemble | p. 11 |
| Legendre transformations | p. 19 |
| Grand canonical ensemble | p. 21 |
| Barometric formula | p. 24 |
| Method of correlation functions | p. 29 |
| n-particle distribution function | p. 29 |
| Calculation of thermal averages | p. 30 |
| n-particle correlation function | p. 31 |
| The structure factor | p. 34 |
| Equations of state | p. 37 |
| Energy equation | p. 37 |
| Pressure (virial) equation | p. 38 |
| Compressibility equation | p. 39 |
| Thermodynamic consistency | p. 41 |
| p. 41 |
| Virial expansion | p. 44 |
| Law of corresponding states | p. 47 |
| Liquid-vapor interface | p. 49 |
| Thermodynamics of the interface | p. 49 |
| Statistical mechanical calculation of surface tension | p. 52 |
| Fowler approximation | p. 55 |
| Perturbation approach | p. 57 |
| General remarks | p. 57 |
| Van der Waals theory | p. 57 |
| First-order perturbation theories | p. 62 |
| Weeks-Chandler-Andersen theory | p. 65 |
| Reference model | p. 66 |
| Total free energy | p. 70 |
| Song and Mason theory | p. 70 |
| Perturbation approach to surface tension | p. 75 |
| Algebraic method of Ruelle | p. 77 |
| Equilibrium phase transitions | p. 83 |
| Classification of phase transitions | p. 83 |
| Phase equilibrium and stability conditions | p. 86 |
| Critical point | p. 89 |
| Universality hypothesis and critical exponents | p. 90 |
| p. 95 |
| p. 97 |
| Monte Carlo methods | p. 103 |
| Basic principles of Monte Carlo. Original capabilities and typical drawbacks | p. 103 |
| Computer simulation of randomness | p. 106 |
| Rejection method | p. 109 |
| Simulation of "observations of random variables" for statistical ensembles | p. 112 |
| Metropolis algorithm for canonical ensemble | p. 114 |
| p. 116 |
| p. 117 |
| Monte Carlo with fictitious particles | p. 119 |
| p. 125 |
| p. 128 |
| Superfluous randomness to simulate microcanonical ensemble | p. 129 |
| Method of dependent trials - eliminating unnecessary randomness | p. 129 |
| Theories of correlation functions | p. 133 |
| General remarks | p. 133 |
| Bogolubov-Born-Green-Kirkwood-Yvon hierarchy | p. 133 |
| Ornstein-Zernike equation | p. 137 |
| Formulation and main features | p. 137 |
| Closures | p. 140 |
| Percus-Yevick theory for hard spheres | p. 141 |
| Density functional theory | p. 151 |
| Foundations of the density functional theory | p. 151 |
| Ideal gas | p. 153 |
| General case | p. 154 |
| Intrinsic free energy | p. 157 |
| Surface tension | p. 160 |
| Nonlocal density functional theories | p. 163 |
| Weighted-density approximation | p. 165 |
| Modified weighted-density approximation | p. 166 |
| Real gases | p. 169 |
| Fisher droplet model | p. 170 |
| Fisher parameters and critical exponents | p. 179 |
| Surface tension of a curved interface | p. 183 |
| Thermodynamics of a spherical interface | p. 183 |
| Tolman length | p. 186 |
| Semiphenomenological theory of the Tolman length | p. 190 |
| Polar fluids | p. 195 |
| Algebraic perturbation theory of a polar fluid | p. 195 |
| Dielectric constant | p. 199 |
| Extrapolation to arbitrary densities | p. 204 |
| Comparison of the algebraic perturbation theory with other models and computer simulations | p. 205 |
| Mixtures | p. 209 |
| Generalization of basic concepts | p. 209 |
| One-fluid approximation | p. 212 |
| Density functional theory for mixtures | p. 213 |
| Surface tension | p. 215 |
| Density functional approach | p. 215 |
| One-fluid theory | p. 218 |
| Ferrofluids | p. 223 |
| Cell model of a ferrofluid | p. 224 |
| Magnetic subsystem in a low field. Algebraic perturbation theory | p. 228 |
| Equation of state | p. 231 |
| Magnetic subsystem in an arbitrary field. High-temperature approximation | p. 233 |
| Properties of the reference system | p. 234 |
| Free energy and magnetostatics | p. 234 |
| Perturbation approach for the solvent | p. 237 |
| Empirical correlations for macroscopic properties of argon, benzene and n-nonane | p. 239 |
| Angular dipole integrals | p. 241 |
| De Gennes-Pincus integral | p. 243 |
| Calculation of $$($$) and $$($$) in the algebraic perturbation theory | p. 245 |
| Calculation of $$($$) | p. 246 |
| Calculation of $$($$) | p. 248 |
| Short-range part: 1 <R <2 | p. 248 |
| Long-range part: 2 <R <$$ | p. 249 |
| Mixtures of hard spheres | p. 251 |
| Pressure | p. 251 |
| Chemical potentials | p. 252 |
| References | p. 253 |
| Index | p. 257 |
| Table of Contents provided by Publisher. All Rights Reserved. |
