| Preface | p. vii |
| Introduction to Thermal Physics | p. 1 |
| Bird's-Eye view of Thermal Physics | p. 1 |
| All you Need to Know to Read the Rest of the Book | p. 5 |
| Several Taylor Series Expansions (*) | p. 5 |
| The Dirac ¿ Function (**) | p. 6 |
| Gamma Function (***) | p. 6 |
| The Gaussian Integrals (***) | p. 10 |
| Hypersphere in d-Dimensional Space (***) | p. 10 |
| Fourier Transformations (**) | p. 13 |
| Functional Derivative (**) | p. 14 |
| The Method of Undetermined Lagrange Multiplier (*) | p. 15 |
| Permutations Combinatorial and Arrangements (*) | p. 16 |
| Distribution Function (***) | p. 17 |
| The Central Limit Theorem (***) | p. 22 |
| Quantum Mechanics (***) | p. 26 |
| Thermal Physics on Computer | p. 30 |
| Isolated Thermal Systems | p. 33 |
| Introduction | p. 33 |
| The Fundamental Postulate | p. 34 |
| The Microcanonical Ensemble | p. 35 |
| Entropy and the Second Law of Thermodynamics | p. 37 |
| Entropy of Ideal Gas Mobile Particles | p. 40 |
| With Position- and Momentum-Definite Microstates | p. 41 |
| With Energy-Definite Microstates | p. 46 |
| The Fundamental Thermodynamic Equations | p. 49 |
| Temperature, Pressure and Chemical Potential | p. 49 |
| The Approach to Equilibrium | p. 53 |
| Temperature | p. 54 |
| Pressure | p. 55 |
| Chemical Potential | p. 56 |
| Multiple Traffic Control Systems | p. 58 |
| Some Reflections | p. 59 |
| Macrostates | p. 65 |
| The Largest Macrostate | p. 65 |
| How Dominant? | p. 66 |
| First Law of Thermodynamics | p. 68 |
| Extensive and Intensive Variables | p. 71 |
| Entropy of Mixing | p. 73 |
| Entropy-Driven Forces | p. 76 |
| Rubber Bands | p. 76 |
| Colloidal suspensions | p. 77 |
| Osmosis | p. 78 |
| Ideal Gas | p. 80 |
| Non-Mobile Thermal Systems | p. 81 |
| Magnets | p. 92 |
| Negative Temperature | p. 88 |
| Rubger Bands | p. 91 |
| Schottky Defects | p. 95 |
| Systems in Contact with a Thermal Reservior | p. 97 |
| Introduction | p. 97 |
| Helmholtz Free Energy | p. 98 |
| The Minimum Free Energy Principle | p. 99 |
| The Modified Postulate and the Boltzmann Factor | p. 102 |
| Response Functions and Fluctuations | p. 108 |
| Energy | p. 109 |
| Magnetization | p. 110 |
| Canonical Ensemble | p. 112 |
| Ising Spins | p. 113 |
| Schottky Defects | p. 115 |
| Ideal Gas | p. 116 |
| Equipartition Theorem | p. 121 |
| Maxwell-Boltzmann Distribution | p. 122 |
| Maxwell Velocity Distribution | p. 125 |
| Specific Heat and Einstein's Solid | p. 127 |
| Specific Heat and Debye's Solid | p. 130 |
| Solids and Gas in Equilibrium | p. 132 |
| Black Body Radiation | p. 134 |
| Entropy as a Measure of Disorder | p. 141 |
| Introduction | p. 141 |
| Order and Disorder | p. 141 |
| Uncertainity and Missing Information: Shannon's Entropy and Information Theory | p. 147 |
| Disorder Verses Uncertainty | p. 153 |
| Open Systems Exposed to Heat and Particle Reservoir | p. 155 |
| Introduction | p. 155 |
| Open Systems | p. 155 |
| Grand Canonical Ensemble Formalism | p. 157 |
| Hemoglobin and Myoglobin | p. 161 |
| Flexible Systems: Systems in Contact with Heat and Volume Reservoir | p. 163 |
| Introduction | p. 163 |
| Gibbs Free Energy | p. 163 |
| Constant Pressure Ensemble Formalism | p. 165 |
| Constant Pressure Ensemble Formalism I | p. 166 |
| Constant Pressure Ensemble Formalism I | p. 167 |
| Weak Solutions and Osmosis | p. 169 |
| External Chemcial Potential | p. 173 |
| Two More Energy-Like Functions and Concluding Remarks | p. 177 |
| Introdution | p. 177 |
| Energy | p. 177 |
| Enthalpy | p. 177 |
| Extensivities of Free Energies | p. 179 |
| Do Free Energies Have a Physical Meaning on Their Own? Maximum (Minimum) Work Theorem and Thermodynamic Potential | p. 180 |
| Quantum Ideal Gas | p. 185 |
| Introdution | p. 185 |
| The Occupation Number Formalism and Slightly Degenerate Ideal Gas | p. 186 |
| Fermi-Dirac and Bose-Einstein Distribution Functions | p. 194 |
| Degenerate Electron Gas Near and At T = 0 | p. 195 |
| Degenerate Ideal Boson Gas At and Near T=0 | p. 201 |
| The Classical Regime Revisited | p. 204 |
| Thermodynamics | p. 207 |
| Introduction | p. 207 |
| Carnot Heat Enging I | p. 208 |
| Carnot Heat Engine II | p. 210 |
| Relationships Between Thermodynamic Derivatives | p. 214 |
| Important Thermodynamic Derivatives and Their Mutual Relationships | p. 219 |
| Thermodynamic Stability | p. 220 |
| Energy Versus Free Energy | p. 227 |
| Introduction | p. 227 |
| Boltzmann Factor for Macrostates and Macrostate Free Energy | p. 228 |
| Thermodynamic Work and Thermodynamic Potential | p. 231 |
| Is Some Energy Really Free? | p. 234 |
| Phases and Phase Transitions | p. 237 |
| Introduction | p. 237 |
| Liquid State and Solid State | p. 238 |
| Phase Diagrams | p. 244 |
| Phase Rule | p. 246 |
| Coexistence Curves | p. 246 |
| Interface | p. 249 |
| The Van der Waals Theory | p. 251 |
| Dynamics of First Order Phase Transitions | p. 261 |
| Unstable Region | p. 263 |
| Metastable Region | p. 263 |
| Binary Systems: Mixing and Demixing | p. 265 |
| More on Binary Mixtures: Their Phase Equilibria | p. 270 |
| Second-Order Phase Transitions | p. 275 |
| Introduction | p. 275 |
| Liquid-Gas Molecular Systems | p. 279 |
| Spin Systems | p. 284 |
| Broken Symmetry, Order Parameter | p. 286 |
| Universality | p. 289 |
| Susceptibility and Spatial Correlations | p. 289 |
| Interacting Ising Spins on a Chain | p. 292 |
| Mean-Field Theory: Magnetism | p. 296 |
| Mean Field Theory: Liquid-Gas Sytems | p. 302 |
| Landau Mean Field Theory | p. 305 |
| The Static Scaling Hyposthesis | p. 310 |
| Landau-Ginzburg Free Energy Functional and Applications | p. 319 |
| Introduction | p. 319 |
| Landau-Ginzburg Free Engergy | p. 319 |
| The Renormalization Group Theory | p. 322 |
| Phase Separation Dynamics | p. 330 |
| The Time Evolution of the Order Parameter Function | p. 332 |
| Quantum Fluid | p. 341 |
| Introduction | p. 341 |
| Superfluidity | p. 342 |
| Bose-Einstein Codensation | p. 349 |
| Computer Simulations | p. 355 |
| Introdution | p. 355 |
| Monte Carlo Method I | p. 355 |
| Monte Carlo Method II: The Master Equation | p. 357 |
| Finite Size Scaling | p. 366 |
| Bibliography | p. 369 |
| Index | p. 373 |
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