Statistical Mechanics
by McQuarrie
ISBN: 9781891389153 | Copyright 2000
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Now available from University Science Books at a much lower price, this classic textbook has never been rivaled. It is ideal for a senior or first-year graduate level courses. Statistical Mechanics is the extended version of McQuarrie’s 1984 text _x0014_ Statistical Thermodynamics _x0014_ now out of print. Although our printing of this book carries a 2000 copyright date, this is not a new edition. It is the original first edition, without any changes to the text (except preface). Despite its age, it is still a renowned and accessible introduction to the subject, containing a large number of chapter-ending problems for students.
Published under the University Science Books imprint
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| Statistical Mechanics (pg. Cover) | |
| Contents (pg. v) | |
| Preface (pg. xi) | |
| Chapter 1 INTRODUCTION AND REVIEW (pg. 1) | |
| 1-1 Introduction (pg. 1) | |
| 1-2 Classical Mechanics (pg. 3) | |
| 1-3 Quantum Mechanics (pg. 8) | |
| 1-4 Thermodynamics (pg. 13) | |
| 1-5 Mathematics (pg. 20) | |
| Chapter 2 THE CANONICAL ENSEMBLE (pg. 35) | |
| 2-1 Ensemble Averages (pg. 35) | |
| 2-2 Method of the Most Probable Distribution (pg. 37) | |
| 2-3 The Evaluation of the Undetermined Multipliers, a and B (pg. 40) | |
| 2-4 Thermodynamic Connection (pg. 44) | |
| Chapter 3 OTHER ENSEMBLES AND FLUCTUATIONS (pg. 51) | |
| 3-1 Grand Canonical Ensemble (pg. 51) | |
| 3-2 Other Ensembles (pg. 55) | |
| 3-3 Fluctuations (pg. 57) | |
| Chapter 4 BOLTZMANN STATISTICS, FERMI-DIRAC STATISTICS, AND BOSE-EINSTEIN STATISTICS (pg. 68) | |
| 4-1 The Special Case of Boltzmann Statistics (pg. 68) | |
| 4-2 Fermi-Dirac and Bose-Einstein Statistics (pg. 73) | |
| Chapter 5 IDEAL MONATOMIC GAS (pg. 81) | |
| 5-1 The Translational Partition Function (pg. 81) | |
| 5-2 The Electronic and Nuclear Partition Functions (pg. 83) | |
| 5-3 Thermodynamic Functions (pg. 85) | |
| 5-4 A Digression on Atomic Term Symbols (pg. 87) | |
| Chapter 6 IDEAL DIATOMIC GAS (pg. 91) | |
| 6-1 The Rigid Rotor-Harmonic Oscillator Approximation (pg. 91) | |
| 6-2 The Vibrational Partition Function (pg. 96) | |
| 6-3 The Rotational Partition Function of a Heteronuclear Diatomic Molecule (pg. 98) | |
| 6-4 The Symmetry Requirement of the Total Wave Function of a Homonuclear Diatomic Molecule (pg. 101) | |
| 6-5 The Rotational Partition Function of a Homonuclear Diatomic Molecule (pg. 104) | |
| 6-6 Thermodynamic Functions (pg. 108) | |
| Chapter 7 CLASSICAL STATISTICAL MECHANICS (pg. 113) | |
| 7-1 The Classical Partition Function (pg. 113) | |
| 7-2 Phase Space and the Liouville Equation (pg. 117) | |
| 7-3 Equipartition of Energy (pg. 121) | |
| Chapter 8 IDEAL POLYATOMIC GAS (pg. 129) | |
| 8-1 The Vibrational Partition Function (pg. 130) | |
| 8-2 The Rotational Partition Function (pg. 133) | |
| 8-3 Thermodynamic Functions (pg. 136) | |
| 8-4 Hindered Rotation (pg. 138) | |
| Chapter 9 CHEMICAL EQUILIBRIUM (pg. 142) | |
| 9-1 The Equilibrium Constant in Terms of Partition Functions (pg. 142) | |
| 9-2 Examples of the Calculation of Equilibrium Constants (pg. 144) | |
| 9-3 Thermodynamic Tables (pg. 151) | |
| Chapter 10 QUANTUM STATISTICS (pg. 160) | |
| 10-1 A Weakly Degenerate Ideal Fermi-Dirac Gas (pg. 162) | |
| 10-2 A Strongly Degenerate Ideal Fermi-Dirac Gas (pg. 164) | |
| 10-3 A Weakly Degenerate Ideal Bose-Einstein Gas (pg. 169) | |
| 10-4 A Strongly Degenerate Ideal Bose-Einstein Gas (pg. 171) | |
| 10-5 An Ideal Gas of Photons (Blackbody Radiation) (pg. 177) | |
| 10-6 The Density Matrix (pg. 182) | |
| 10-7 The Classical Limit from the Quantum Mechanical Expression for Q (pg. 185) | |
| Chapter 11 CRYSTALS (pg. 194) | |
| 11-1 The Vibrational Spectrum of a Monatomic Crystal (pg. 194) | |
| 11-2 The Einstein Theory of the Specific Heat of Crystals (pg. 197) | |
| 11-3 The Debye Theory of the Heat Capacity of Crystals (pg. 200) | |
| 11-4 Introduction to Lattice Dynamics (pg. 206) | |
| 11-5 Phonons (pg. 212) | |
| 11-6 Point Defects in Solids (pg. 214) | |
| Chapter 12 IMPERFECT GASES (pg. 222) | |
| 12-1 The Virial Equation of State from the Grand Partition Function (pg. 224) | |
| 12-2 Virial Coefficients in the Classical Limit (pg. 226) | |
| 12-3 Second Virial Coefficient (pg. 233) | |
| 12-4 Third Virial Coefficient (pg. 237) | |
| 12-5 Higher Virial Coefficients for the Hard-Sphere Potential (pg. 239) | |
| 12-6 Quantum Corrections to B2(T) (pg. 241) | |
| 12-7 The Law of Corresponding States (pg. 243) | |
| 12-8 Conclusion (pg. 245) | |
| Chapter 13 DISTRIBUTION FUNCTIONS IN CLASSICAL MONATOMIC LIQUIDS (pg. 254) | |
| 13-1 Introduction (pg. 255) | |
| 13-2 Distribution Functions (pg. 257) | |
| 13-3 Relation of Thermodynamic Functions to g(r) (pg. 261) | |
| 13-4 The Kirkwood Integral Equation for g(r) (pg. 264) | |
| 13-5 The Direct Correlation Function (pg. 268) | |
| 13-6 Density Expansions of the Various Distribution Functions (pg. 270) | |
| 13-7 Derivation of Two Additional Integral Equations (pg. 274) | |
| 13-8 Density Expansions of the Various Integral Equations (pg. 277) | |
| 13-9 Comparisons of the Integral Equations to Experimental Data (pg. 279) | |
| Chapter 14 PERTURBATION THEORIES OF LIQUIDS (pg. 300) | |
| 14-1 Statistical Mechanical Perturbation Theory (pg. 302) | |
| 14-2 The van der Waals Equation (pg. 304) | |
| 14-3 Several Perturbation Theories of Liquids (pg. 306) | |
| Chapter 15 SOLUTIONS OF STRONG ELECTROLYTES (pg. 326) | |
| 15-1 The Debye-Huckel Theory (pg. 328) | |
| 15-2 Some Statistical Mechanical Theories of Ionic Solutions (pg. 340) | |
| Chapter 16 KINETIC THEORY OF GASES AND MOLECULAR COLLISIONS (pg. 357) | |
| 16-1 Elementary Kinetic Theory of Transport in Gases (pg. 358) | |
| 16-2 Classical Mechanics and Molecular Collisions (pg. 365) | |
| 16-3 Mean-Square Momentum Change During a Collision (pg. 370) | |
| Chapter 17 CONTINUUM MECHANICS (pg. 379) | |
| 17-1 Derivation of the Continuity Equations (pg. 380) | |
| 17-2 Some Applications of the Fundamental Equations of Continuum Mechanics (pg. 386) | |
| 17-3 The Navier-Stokes Equation and Its Solution (pg. 391) | |
| Chapter 18 KINETIC THEORY OF GASES AND THE BOLTZMANN EQUATION (pg. 402) | |
| 18-1 Phase Space and the Liouville Equation (pg. 402) | |
| 18-2 Reduced Distribution Functions (pg. 405) | |
| 18-3 Fluxes in Dilute Gases (pg. 406) | |
| 18-4 The Boltzmann Equation (pg. 409) | |
| 18-5 Some General Consequences of the Boltzmann Equation (pg. 411) | |
| Chapter 19 TRANSPORT PROCESSES IN DILUTE GASES (pg. 426) | |
| 19-1 Outline of the Chapman-Enskog Method (pg. 426) | |
| 19-2 Summary of Formulas (pg. 430) | |
| 19-3 Transport Coefficients for Various Intermolecular Potentials (pg. 433) | |
| 19-4 Extensions of the Boltzmann Equation (pg. 440) | |
| Chapter 20 THEORY OF BROWNIAN MOTION (pg. 452) | |
| 20-1 The Langevin Equation (pg. 452) | |
| 20-2 The Fokker-Planck Equation and the Chandrasekhar Equation (pg. 456) | |
| Chapter 21 THE TIME-CORRELATION FUNCTION FORMALISM, I (pg. 467) | |
| 21-1 Absorption of Radiation (pg. 470) | |
| 21-2 Classical Theory of Light Scattering (pg. 476) | |
| 21-3 Raman Light Scattering (pg. 484) | |
| 21-4 An Elementary Derivation of the Basic Formulas (pg. 489) | |
| 21-5 Dielectric Relaxation (pg. 495) | |
| 21-6 Time-Correlation Function Formalism of Molecular Spectroscopy (pg. 499) | |
| 21-7 Derivation of the Basic Formulas from the Liouville Equation (pg. 507) | |
| 21-8 Time-Correlation Function Expressions for the Thermal Transport Coefficients (pg. 512) | |
| 21-9 Applications of the Time-Correlation Function Formulas for the Thermal Transport Coefficients (pg. 522) | |
| Chapter 22 THE TIME-CORRELATION FUNCTION FORMALISM, II (pg. 543) | |
| 22-1 Inelastic Neutron Scattering (pg. 544) | |
| 22-2 The Weiner-Khintchine Theorem (pg. 553) | |
| 22-3 Laser Light Scattering (pg. 561) | |
| 22-4 The Memory Function (pg. 572) | |
| 22-5 Derivation of Thermal Transport Coefficients (pg. 579) | |
| Appendix A VALUES OF SOME PHYSICAL CONSTANTS AND ENERGY CONVERSION FACTORS (pg. 593) | |
| Appendix B FOURIER INTEGRALS AND THE DIRAC DELTA FUNCTION (pg. 595) | |
| Appendix C DEBYE HEAT CAPACITY FUNCTION (pg. 599) | |
| Appendix D HARD-SPHERE RADIAL DISTRIBUTION FUNCTION (pg. 600) | |
| Appendix E TABLES FOR THE m-6-8 POTENTIAL (pg. 604) | |
| Appendix F DERIVATION OF THE GOLDEN RULE OF PERTURBATION THEORY (pg. 608) | |
| Appendix G THE DIRAC BRA AND KET NOTATION (pg. 612) | |
| Appendix H THE HEISENBERG TIME-DEPENDENT REPRESENTATION (pg. 615) | |
| Appendix I THE POYNTING FLUX VECTOR (pg. 618) | |
| Appendix J THE RADIATION EMITTED BY AN OSCILLATING DIPOLE (pg. 622) | |
| Appendix K DIELECTRIC CONSTANT AND ABSORPTION (pg. 626) | |
| Index (pg. 631) | |
| Back Cover (pg. 644) | |
