| Preface |
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xi | |
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Thermodynamics and Statistical Mechanics |
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1 | (97) |
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Introduction: Thermodynamics and Statistical Mechanics of the Perfect Gas |
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1 | (9) |
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10 | (31) |
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The Laws of Thermodynamics |
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10 | (3) |
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13 | (6) |
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Magnetic Variables in Thermodynamics |
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19 | (4) |
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Variational Principles in Thermodynamics |
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23 | (2) |
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Examples of the Use of Variational Principles |
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25 | (4) |
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Thermodynamic Derivatives |
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29 | (5) |
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Some Applications to Matter |
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34 | (7) |
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41 | (42) |
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Reformulating the Problem |
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43 | (6) |
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49 | (4) |
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Some Properties of Z and J |
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53 | (2) |
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Distinguishable States: Application to the Perfect Gas |
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55 | (6) |
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Doing Sums over States as Integrals |
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61 | (10) |
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71 | (12) |
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Remarks on the Foundations of Statistical Mechanics |
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83 | (15) |
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Quantum and Thermodynamic Uncertainties |
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83 | (4) |
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Status of the Equal Probabilities Postulate |
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87 | (2) |
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89 | (1) |
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Appendix A. Thermodynamic Mnemonic |
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90 | (8) |
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98 | (44) |
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98 | (1) |
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99 | (6) |
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Bose-Einstein and Fermi-Dirac Statistics |
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105 | (5) |
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Slightly Degenerate Perfect Gases |
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110 | (4) |
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The Very Degenerate Fermi Gas: Electrons in Metals |
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114 | (13) |
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The Bose Condensation: A First Order Phase Transition |
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127 | (15) |
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142 | (85) |
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142 | (2) |
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The Heat Capacity Dilemma |
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144 | (16) |
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147 | (5) |
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Long Wavelength Compressional Modes |
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152 | (2) |
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154 | (6) |
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160 | (15) |
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175 | (8) |
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Crystal Space: Phonons, Photons, and the Reciprocal Lattice |
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183 | (12) |
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185 | (1) |
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The Reciprocal Lattice and Brillouin Zones |
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186 | (5) |
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191 | (3) |
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194 | (1) |
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195 | (32) |
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A Semiqualitative Discussion |
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195 | (7) |
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202 | (10) |
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The Fermi Surface: Metal or Nonmetal? |
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212 | (15) |
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Liquids and Interacting Gases |
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227 | (93) |
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227 | (4) |
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231 | (17) |
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232 | (5) |
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The Statistical Mechanics of Structure |
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237 | (9) |
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Applicability of This Approach |
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246 | (2) |
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248 | (12) |
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250 | (2) |
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The Approximation of Pairwise Additivity |
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252 | (8) |
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260 | (23) |
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Cluster Expansions and the Dilute Gas |
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260 | (3) |
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Behavior and Structure of a Dilute Gas |
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263 | (3) |
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The Liquefaction of Gases and the Joule-Thomson Process |
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266 | (5) |
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271 | (12) |
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283 | (37) |
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The Yvon-Born-Green Equation |
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284 | (4) |
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The Hypernetted Chain and Percus-Yevick Equations |
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288 | (14) |
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302 | (18) |
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320 | (116) |
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320 | (1) |
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321 | (50) |
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Properties of Liquid Helium |
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321 | (6) |
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The Bose Gas as a Model for Superfluidity |
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327 | (8) |
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335 | (7) |
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342 | (6) |
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348 | (12) |
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360 | (11) |
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371 | (40) |
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371 | (4) |
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Some Thermodynamic Arguments |
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375 | (11) |
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386 | (6) |
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392 | (12) |
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The Superconducting State |
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404 | (7) |
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411 | (25) |
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411 | (1) |
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412 | (7) |
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419 | (2) |
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421 | (15) |
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Critical Phenomena and Phase Transitions |
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436 | (58) |
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436 | (2) |
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Weiss Molecular Field Theory |
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438 | (5) |
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The van der Waals Equation of State |
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443 | (10) |
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Analogies Between Phase Transitions |
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453 | (4) |
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457 | (16) |
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459 | (4) |
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463 | (10) |
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473 | (5) |
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Scaling Laws: Physics Discovers Dimensional Analysis |
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478 | (6) |
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Evaluation and Summary: Testing the Scaling Laws |
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484 | (10) |
| Index |
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494 | |