{"product_id":"thermodynamics-and-statistical-mechanics-isbn-9781118501016","title":"Thermodynamics and Statistical Mechanics","description":"Thermodynamics and Statistical Mechanics \u003cp\u003eThermodynamics and Statistical Mechanics\u003c\/p\u003e\u003cp\u003eAn Integrated Approach \u003c\/p\u003e\u003cp\u003eThis textbook brings together the fundamentals of the macroscopic and microscopic aspects of thermal physics by presenting thermodynamics and statistical mechanics as complementary theories based on small numbers of postulates. The book is designed to give the instructor flexibility in structuring courses for advanced undergraduates and\/or beginning graduate students and is written on the principle that a good text should also be a good reference. \u003c\/p\u003e\u003cp\u003eThe presentation of thermodynamics follows the logic of Clausius and Kelvin while relating the concepts involved to familiar phenomena and the modern student’s knowledge of the atomic nature of matter. Another unique aspect of the book is the treatment of the mathematics involved. The essential mathematical concepts are briefly reviewed before using them, and the similarity of the mathematics to that employed in other fields of physics is emphasized. \u003c\/p\u003e\u003cp\u003eThe text gives in-depth treatments of low-density gases, harmonic solids, magnetic and dielectric materials, phase transitions, and the concept of entropy. The microcanonical, canonical, and grand canonical ensembles of statistical mechanics are derived and used as the starting point for the analysis of fluctuations, blackbody radiation, the Maxwell distribution, Fermi-Dirac statistics, Bose-Einstein condensation, and the statistical basis of computer simulations.  \u003c\/p\u003e\u003cp\u003e\u003ci\u003ePreface xiii\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I Elements of Thermal Physics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Fundamentals 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 PVT Systems 3\u003c\/p\u003e \u003cp\u003e1.2 Equilibrium States 6\u003c\/p\u003e \u003cp\u003e1.3 Processes and Heat 10\u003c\/p\u003e \u003cp\u003e1.4 Temperature 12\u003c\/p\u003e \u003cp\u003e1.5 Size Dependence 13\u003c\/p\u003e \u003cp\u003e1.6 Heat Capacity and Specific Heat 14\u003c\/p\u003e \u003cp\u003eProblems 17\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. First Law of Thermodynamics 19\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Work 19\u003c\/p\u003e \u003cp\u003e2.2 Heat 21\u003c\/p\u003e \u003cp\u003e2.3 The First Law 21\u003c\/p\u003e \u003cp\u003e2.4 Applications 22\u003c\/p\u003e \u003cp\u003eProblems 26\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Properties and Partial Derivatives 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Conventions 27\u003c\/p\u003e \u003cp\u003e3.2 Equilibrium Properties 28\u003c\/p\u003e \u003cp\u003e3.3 Relationships between Properties 34\u003c\/p\u003e \u003cp\u003e3.4 Series Expansions 40\u003c\/p\u003e \u003cp\u003e3.5 Summary 41\u003c\/p\u003e \u003cp\u003eProblems 42\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Processes in Gases 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Ideal Gases 45\u003c\/p\u003e \u003cp\u003e4.2 Temperature Change with Elevation 48\u003c\/p\u003e \u003cp\u003e4.3 Cyclic Processes 50\u003c\/p\u003e \u003cp\u003e4.4 Heat Engines 52\u003c\/p\u003e \u003cp\u003eProblems 58\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Phase Transitions 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Solids, Liquids, and Gases 61\u003c\/p\u003e \u003cp\u003e5.2 Latent Heats 65\u003c\/p\u003e \u003cp\u003e5.3 Van der Waals Model 67\u003c\/p\u003e \u003cp\u003e5.4 Classification of Phase Transitions 70\u003c\/p\u003e \u003cp\u003eProblems 72\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Reversible and Irreversible Processes 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Idealization and Reversibility 75\u003c\/p\u003e \u003cp\u003e6.2 Nonequilibrium Processes and Irreversibility 76\u003c\/p\u003e \u003cp\u003e6.3 Electrical Systems 79\u003c\/p\u003e \u003cp\u003e6.4 Heat Conduction 82\u003c\/p\u003e \u003cp\u003eProblems 86\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II Foundations of Thermodynamics 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Second Law of Thermodynamics 91\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Energy, Heat, and Reversibility 91\u003c\/p\u003e \u003cp\u003e7.2 Cyclic Processes 93\u003c\/p\u003e \u003cp\u003e7.3 Second Law of Thermodynamics 95\u003c\/p\u003e \u003cp\u003e7.4 Carnot Cycles 98\u003c\/p\u003e \u003cp\u003e7.5 Absolute Temperature 100\u003c\/p\u003e \u003cp\u003e7.6 Applications 103\u003c\/p\u003e \u003cp\u003eProblems 107\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Temperature Scales and Absolute Zero 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Temperature Scales 109\u003c\/p\u003e \u003cp\u003e8.2 Uniform Scales and Absolute Zero 111\u003c\/p\u003e \u003cp\u003e8.3 Other Temperature Scales 114\u003c\/p\u003e \u003cp\u003eProblems 115\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. State Space and Differentials 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Spaces 117\u003c\/p\u003e \u003cp\u003e9.2 Differentials 121\u003c\/p\u003e \u003cp\u003e9.3 Exact Versus Inexact Differentials 123\u003c\/p\u003e \u003cp\u003e9.4 Integrating Differentials 127\u003c\/p\u003e \u003cp\u003e9.5 Differentials in Thermodynamics 129\u003c\/p\u003e \u003cp\u003e9.6 Discussion and Summary 134\u003c\/p\u003e \u003cp\u003eProblems 136\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10. Entropy 139\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Definition of Entropy 139\u003c\/p\u003e \u003cp\u003e10.2 Clausius’ Theorem 142\u003c\/p\u003e \u003cp\u003e10.3 Entropy Principle 145\u003c\/p\u003e \u003cp\u003e10.4 Entropy and Irreversibility 148\u003c\/p\u003e \u003cp\u003e10.5 Useful Energy 151\u003c\/p\u003e \u003cp\u003e10.6 The Third Law 155\u003c\/p\u003e \u003cp\u003e10.7 Unattainability of Absolute Zero 156\u003c\/p\u003e \u003cp\u003eProblems 158\u003c\/p\u003e \u003cp\u003eAppendix 10.A. Entropy Statement of the Second Law 158\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11. Consequences of Existence of Entropy 165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Differentials of Entropy and Energy 165\u003c\/p\u003e \u003cp\u003e11.2 Ideal Gases 167\u003c\/p\u003e \u003cp\u003e11.3 Relationships Between CV, CP, BT , BS, and αV 170\u003c\/p\u003e \u003cp\u003e11.4 Clapeyron’s Equation 172\u003c\/p\u003e \u003cp\u003e11.5 Maximum Entropy, Equilibrium, and Stability 174\u003c\/p\u003e \u003cp\u003e11.6 Mixing 178\u003c\/p\u003e \u003cp\u003eProblems 184\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12. Thermodynamic Potentials 185\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Internal Energy 185\u003c\/p\u003e \u003cp\u003e12.2 Free Energies 186\u003c\/p\u003e \u003cp\u003e12.3 Properties From Potentials 188\u003c\/p\u003e \u003cp\u003e12.4 Systems in Contact with a Heat Reservoir 193\u003c\/p\u003e \u003cp\u003e12.5 Minimum Free Energy 194\u003c\/p\u003e \u003cp\u003eProblems 197\u003c\/p\u003e \u003cp\u003eAppendix 12.A. Derivatives of Potentials 197\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13. Phase Transitions and Open Systems 201\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Two-Phase Equilibrium 201\u003c\/p\u003e \u003cp\u003e13.2 Chemical Potential 206\u003c\/p\u003e \u003cp\u003e13.3 Multi-Component Systems 211\u003c\/p\u003e \u003cp\u003e13.4 Gibbs Phase Rule 214\u003c\/p\u003e \u003cp\u003e13.5 Chemical Reactions 215\u003c\/p\u003e \u003cp\u003eProblems 217\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14. Dielectric and Magnetic Systems 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Dielectrics 219\u003c\/p\u003e \u003cp\u003e14.2 Magnetic Materials 224\u003c\/p\u003e \u003cp\u003e14.3 Critical Phenomena 229\u003c\/p\u003e \u003cp\u003eProblems 233\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III Statistical Thermodynamics 235\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15. Molecular Models 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Microscopic Descriptions 237\u003c\/p\u003e \u003cp\u003e15.2 Gas Pressure 238\u003c\/p\u003e \u003cp\u003e15.3 Equipartition of Energy 243\u003c\/p\u003e \u003cp\u003e15.4 Internal Energy of Solids 246\u003c\/p\u003e \u003cp\u003e15.5 Inactive Degrees of Freedom 247\u003c\/p\u003e \u003cp\u003e15.6 Microscopic Significance of Heat 248\u003c\/p\u003e \u003cp\u003eProblems 253\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16. Kinetic Theory of Gases 255\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Velocity Distribution 255\u003c\/p\u003e \u003cp\u003e16.2 Combinatorics 256\u003c\/p\u003e \u003cp\u003e16.3 Method of Undetermined Multipliers 258\u003c\/p\u003e \u003cp\u003e16.4 Maxwell Distribution 260\u003c\/p\u003e \u003cp\u003e16.5 Mean-Free-Path 265\u003c\/p\u003e \u003cp\u003eProblems 267\u003c\/p\u003e \u003cp\u003eAppendix 16.A. Quantum Distributions 267\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17. Microscopic Significance of Entropy 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Boltzmann Entropy 273\u003c\/p\u003e \u003cp\u003e17.2 Ideal Gas 274\u003c\/p\u003e \u003cp\u003e17.3 Statistical Interpretation 278\u003c\/p\u003e \u003cp\u003e17.4 Thermodynamic Properties 279\u003c\/p\u003e \u003cp\u003e17.5 Boltzmann Factors 284\u003c\/p\u003e \u003cp\u003eProblems 286\u003c\/p\u003e \u003cp\u003eAppendix 17.A. Evaluation of I3N 286\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV Statistical Mechanics I 289\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18. Ensembles 291\u003c\/p\u003e \u003cp\u003e18.1 Probabilities and Averages 291\u003c\/p\u003e \u003cp\u003e18.2 Two-Level Systems 293\u003c\/p\u003e \u003cp\u003e18.3 Information Theory 295\u003c\/p\u003e \u003cp\u003e18.4 Equilibrium Ensembles 298\u003c\/p\u003e \u003cp\u003e18.5 Canonical Thermodynamics 302\u003c\/p\u003e \u003cp\u003e18.6 Composite Systems 305\u003c\/p\u003e \u003cp\u003eProblems 308\u003c\/p\u003e \u003cp\u003eAppendix 18.A. Uniqueness Theorem 308\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19. Partition Function 311\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Hamiltonians and Phase Space 311\u003c\/p\u003e \u003cp\u003e19.2 Model Hamiltonians 312\u003c\/p\u003e \u003cp\u003e19.3 Classical Canonical Ensemble 316\u003c\/p\u003e \u003cp\u003e19.4 Thermodynamic Properties and Averages 318\u003c\/p\u003e \u003cp\u003e19.5 Ideal Gases 322\u003c\/p\u003e \u003cp\u003e19.6 Harmonic Solids 326\u003c\/p\u003e \u003cp\u003eProblems 328\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20. Quantum Systems 331\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Energy Eigenstates 331\u003c\/p\u003e \u003cp\u003e20.2 Quantum Canonical Ensemble 333\u003c\/p\u003e \u003cp\u003e20.3 Ideal Gases 334\u003c\/p\u003e \u003cp\u003e20.4 Einstein Model 337\u003c\/p\u003e \u003cp\u003e20.5 Classical Approximation 341\u003c\/p\u003e \u003cp\u003eProblems 344\u003c\/p\u003e \u003cp\u003eAppendix 20.A. Ideal Gas Eigenstates 344\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21. Independent Particles and Paramagnetism 349\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Averages 349\u003c\/p\u003e \u003cp\u003e21.2 Statistical Independence 351\u003c\/p\u003e \u003cp\u003e21.3 Classical Systems 353\u003c\/p\u003e \u003cp\u003e21.4 Paramagnetism 357\u003c\/p\u003e \u003cp\u003e21.5 Spin Systems 360\u003c\/p\u003e \u003cp\u003e21.6 Classical Dipoles 365\u003c\/p\u003e \u003cp\u003eProblems 367\u003c\/p\u003e \u003cp\u003eAppendix 21.A. Negative Temperature 367\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22. Fluctuations and Energy Distributions 371\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 Standard Deviation 371\u003c\/p\u003e \u003cp\u003e22.2 Energy Fluctuations 375\u003c\/p\u003e \u003cp\u003e22.3 Gibbs Paradox 376\u003c\/p\u003e \u003cp\u003e22.4 Microcanonical Ensemble 380\u003c\/p\u003e \u003cp\u003e22.5 Comparison of Ensembles 386\u003c\/p\u003e \u003cp\u003eProblems 391\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23. Generalizations and Diatomic Gases 393\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23.1 Generalized Coordinates 393\u003c\/p\u003e \u003cp\u003e23.2 Diatomic Gases 397\u003c\/p\u003e \u003cp\u003e23.3 Quantum Effects 402\u003c\/p\u003e \u003cp\u003e23.4 Density Matrices 405\u003c\/p\u003e \u003cp\u003e23.5 Canonical Ensemble 408\u003c\/p\u003e \u003cp\u003eProblems 410\u003c\/p\u003e \u003cp\u003eAppendix 23.A. Classical Approximation 410\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart V Statistical Mechanics II 415\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e24. Photons and Phonons 417\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24.1 Plane Wave Eigenstates 417\u003c\/p\u003e \u003cp\u003e24.2 Photons 421\u003c\/p\u003e \u003cp\u003e24.3 Harmonic Approximation 425\u003c\/p\u003e \u003cp\u003e24.4 Phonons 429\u003c\/p\u003e \u003cp\u003eProblems 434\u003c\/p\u003e \u003cp\u003e\u003cb\u003e25. Grand Canonical Ensemble 435\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e25.1 Thermodynamics of Open Systems 435\u003c\/p\u003e \u003cp\u003e25.2 Grand Canonical Ensemble 437\u003c\/p\u003e \u003cp\u003e25.3 Properties and Fluctuations 438\u003c\/p\u003e \u003cp\u003e25.4 Ideal Gases 441\u003c\/p\u003e \u003cp\u003eProblems 443\u003c\/p\u003e \u003cp\u003e\u003cb\u003e26. Fermions and Bosons 445\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e26.1 Identical Particles 445\u003c\/p\u003e \u003cp\u003e26.2 Exchange Symmetry 447\u003c\/p\u003e \u003cp\u003e26.3 Fermi–Dirac and Bose–Einstein Statistics 452\u003c\/p\u003e \u003cp\u003eProblems 456\u003c\/p\u003e \u003cp\u003eAppendix 26.A. Fermions in the Canonical Ensemble 457\u003c\/p\u003e \u003cp\u003e\u003cb\u003e27. Fermi and Bose Gases 461\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e27.1 Ideal Gases 461\u003c\/p\u003e \u003cp\u003e27.2 Fermi Gases 465\u003c\/p\u003e \u003cp\u003e27.3 Low Temperature Heat Capacity 466\u003c\/p\u003e \u003cp\u003e27.4 Bose Gases 469\u003c\/p\u003e \u003cp\u003eProblems 472\u003c\/p\u003e \u003cp\u003e\u003cb\u003e28. Interacting Systems 475\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e28.1 Ising Model 475\u003c\/p\u003e \u003cp\u003e28.2 Nonideal Gases 481\u003c\/p\u003e \u003cp\u003eProblems 487\u003c\/p\u003e \u003cp\u003e\u003cb\u003e29. Computer Simulations 489\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e29.1 Averages 489\u003c\/p\u003e \u003cp\u003e29.2 Virial Formula for Pressure 490\u003c\/p\u003e \u003cp\u003e29.3 Simulation Algorithms 496\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA. Mathematical Relations, Constants, and Properties 501\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Partial Derivatives 501\u003c\/p\u003e \u003cp\u003eA.2 Integrals and Series 501\u003c\/p\u003e \u003cp\u003eA.3 Taylor Series 502\u003c\/p\u003e \u003cp\u003eA.4 Hyperbolic Functions 502\u003c\/p\u003e \u003cp\u003eA.5 Fundamental Constants 503\u003c\/p\u003e \u003cp\u003eA.6 Conversion Factors 503\u003c\/p\u003e \u003cp\u003eA.7 Useful Formulas 503\u003c\/p\u003e \u003cp\u003eA.8 Properties of Water 504\u003c\/p\u003e \u003cp\u003eA.9 Properties of Materials 504\u003c\/p\u003e \u003cp\u003e\u003ci\u003eAnswers to Problems 505\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIndex 509\u003c\/i\u003e\u003c\/p\u003e \u003cb\u003eRobert J. Hardy\u003c\/b\u003e and \u003cb\u003eChristian Binek\u003c\/b\u003e\u003cbr\u003eDepartment of Physics, University of Nebraska-Lincoln, USA  This textbook brings together the fundamentals of the macroscopic and microscopic aspects of thermal physics by presenting thermodynamics and statistical mechanics as complementary theories based on small numbers of postulates. The book is designed to give the instructor flexibility in structuring courses for advanced undergraduates and\/or beginning graduate students and is written on the principle that a good text should also be a good reference.\u003cbr\u003e \u003cbr\u003e The presentation of thermodynamics follows the logic of Clausius and Kelvin while relating the concepts involved to familiar phenomena and the modern student’s knowledge of the atomic nature of matter. Another unique aspect of the book is the treatment of the mathematics involved. The essential\u003cbr\u003e mathematical concepts are briefly reviewed before using them, and the similarity of the mathematics to that employed in other fields of physics is emphasized.\u003cbr\u003e \u003cbr\u003e The text gives in-depth treatments of low-density gases, harmonic solids, magnetic and dielectric materials, phase transitions, and the concept of entropy. The microcanonical, canonical, and grand canonical ensembles of statistical mechanics are derived and used as the starting point for the analysis of\u003cbr\u003e fluctuations, blackbody radiation, the Maxwell distribution, Fermi-Dirac statistics, Bose-Einstein condensation, and the statistical basis of computer simulations.","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47990384165093,"sku":"NP9781118501016","price":126.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118501016.jpg?v=1761787609","url":"https:\/\/k12savings.com\/products\/thermodynamics-and-statistical-mechanics-isbn-9781118501016","provider":"K12savings","version":"1.0","type":"link"}