Preface |
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ix | |
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Chapter 1 Energy in Thermal Physics |
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1 | (48) |
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1 | (5) |
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6 | (8) |
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Microscopic Model of an Ideal Gas |
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1.3 Equipartition of Energy |
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14 | (3) |
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17 | (3) |
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20 | (8) |
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Compression of an Ideal Gas |
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28 | (9) |
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37 | (12) |
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Heat Conduction; Conductivity of an Ideal Gas; Viscosity; Diffusion |
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49 | (36) |
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49 | (4) |
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2.2 The Einstein Model of a Solid |
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53 | (3) |
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56 | (4) |
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60 | (8) |
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Very Large Numbers; Stirling's Approximation; Multiplicity of a Large Einstein Solid; Sharpness of the Multiplicity Function |
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68 | (6) |
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Multiplicity of a Monatomic Ideal Gas; Interacting Ideal Gases |
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74 | (11) |
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Entropy of an Ideal Gas; Entropy of Mixing; Reversible and Irreversible Processes |
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Chapter 3 Interactions and Implications |
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85 | (37) |
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85 | (7) |
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A Silly Analogy; Real-World Examples |
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92 | (6) |
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Predicting Heat Capacities; Measuring Entropies; The Macroscopic View of Entropy |
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98 | (10) |
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Notation and Microscopic Physics; Numerical Solution; Analytic Solution |
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3.4 Mechanical Equilibrium and Pressure |
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108 | (7) |
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The Thermodynamic Identity; Entropy and Heat Revisited |
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3.5 Diffusive Equilibrium and Chemical Potential |
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115 | (5) |
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3.6 Summary and a Look Ahead |
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120 | (2) |
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Chapter 4 Engines and Refrigerators |
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122 | (27) |
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122 | (5) |
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127 | (4) |
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131 | (6) |
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Internal Combustion Engines; The Steam Engine |
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137 | (12) |
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The Throttling Process; Liquefaction of Gases; Toward Absolute Zero |
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Chapter 5 Free Energy and Chemical Thermodynamics |
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149 | (71) |
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5.1 Free Energy as Available Work |
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149 | (12) |
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Electrolysis, Fuel Cells, and Batteries; Thermodynamic Identities |
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5.2 Free Energy as a Force toward Equilibrium |
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161 | (5) |
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Extensive and Intensive Quantities; Gibbs Free Energy and Chemical Potential |
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5.3 Phase Transformations of Pure Substances |
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166 | (20) |
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Diamonds and Graphite; The Clausius-Clapeyron Relation; The van der Waals Model |
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5.4 Phase Transformations of Mixtures |
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186 | (14) |
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Free Energy of a Mixture; Phase Changes of a Miscible |
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Mixture; Phase Changes of a Eutectic System |
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200 | (8) |
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Solvent and Solute Chemical Potentials; Osmotic Pressure; Boiling and Freezing Points |
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208 | (12) |
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Nitrogen Fixation; Dissociation of Water; Oxygen Dissolving in Water; Ionization of Hydrogen |
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Part III Statistical Mechanics |
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Chapter 6 Boltzmann Statistics |
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220 | (37) |
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220 | (9) |
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The Partition Function; Thermal Excitation of Atoms |
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229 | (9) |
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Paramagnetism; Rotation of Diatomic Molecules |
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6.3 The Equipartition Theorem |
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238 | (4) |
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6.4 The Maxwell Speed Distribution |
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242 | (5) |
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6.5 Partition Functions and Free Energy |
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247 | (2) |
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6.6 Partition Functions for Composite Systems |
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249 | (2) |
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251 | (6) |
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The Partition Function; Predictions |
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Chapter 7 Quantum Statistics |
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257 | (70) |
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257 | (5) |
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An Example: Carbon Monoxide Poisoning |
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262 | (9) |
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The Distribution Functions |
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7.3 Degenerate Fermi Gases |
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271 | (17) |
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Zero Temperature; Small Nonzero Temperatures; The Density of States; The Sommerfeld Expansion |
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288 | (19) |
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The Ultraviolet Catastrophe; The Planck Distribution; Photons; Summing over Modes; The Planck Spectrum; Total Energy; Entropy of a Photon Gas; The Cosmic Background Radiation; Photons Escaping through a Hole; Radiation from Other Objects; The Sun and the Earth |
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7.5 Debye Theory of Solids |
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307 | (8) |
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7.6 Bose-Einstein Condensation |
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315 | (12) |
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Real-World Examples; Why Does it Happen? |
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Chapter 8 Systems of Interacting Particles |
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327 | (30) |
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8.1 Weakly Interacting Gases |
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328 | (11) |
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The Partition Function; The Cluster Expansion; The Second Virial Coefficient |
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8.2 The Ising Model of a Ferromagnet |
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339 | (18) |
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Exact Solution in One Dimension; The Mean Field Approximation; Monte Carlo Simulation |
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Appendix A Elements of Quantum Mechanics |
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357 | (27) |
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A.1 Evidence for Wave-Particle Duality |
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357 | (5) |
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The Photoelectric Effect; Electron Diffraction |
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362 | (5) |
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The Uncertainty Principle; Linearly Independent Wavefunctions |
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A.3 Definite-Energy Wavefunctions |
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367 | (7) |
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The Particle in a Box; The Harmonic Oscillator; The Hydrogen Atom |
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374 | (5) |
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A.5 Systems of Many Particles |
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379 | (1) |
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380 | (4) |
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Appendix B Mathematical Results |
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384 | (13) |
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384 | (3) |
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387 | (2) |
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B.3 Stirling's Approximation |
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389 | (2) |
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B.4 Area of a d-Dimensional Hypersphere |
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391 | (2) |
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B.5 Integrals of Quantum Statistics |
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393 | (4) |
Suggested Reading |
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397 | (5) |
Reference Data |
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402 | (4) |
Index |
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406 | |