Statistical and thermal physics

목차 (Table of Contents)

• [Volume. 1]----------
• CONTENTS
• Contents of volume 2 = ⅹ
• Preface = xv
• Chapter 1. INTRODUCTION
• 1.1 Atoms and Molecules = 2
• 1.2 Classical Mechanics = 3
• 1.3 Quantum Mechanics = 3
• 1.4 Macroscopic Properties. Thermodynamics = 4
• 1.5 Pressure. Kinetic Theory = 5
• 1.6 Equilibrium and Non-equilibrium = 7
• References = 8
• Chapter 2. PROBABILITIES AND STATISTICS. CORRELATED WALKS.
• 2.1 Probabilities = 10
• 2.2 Binomial Distribution = 13
• 2.3 Average and Root-Mean-Square Deviation. Random Walks = 18
• 2.4 Probability Density. Maxwell Velocity Distribution Function 1 = 23
• 2.5 Even and Odd Functions. Maxwell Velocity Distribution Function 2 = 29
• 2.6 Vacancy Diffusion. Correlated walks = 39
• 2.7 Solutions of Correlated Walks in One Dimension = 47
• 2.8 Correlated walks in Three Dimensions = 57
• References = 59
• Review Questions = 60
• General Problems = 61
• Chapter 3. LIOUVILLE'S THEOREM. FLUID DYNAMICS. NORMAL MODES OF OSCILLATION.
• 3.1 Newtonian, Lagrangian and Hamiltonian Descriptions of Linear Motion. = 64
• 3.2 State of Motion. Its Representation in Phase Space Reversible Motion = 73
• 3.3 Liouville's Theorem = 81
• 3.4 Hamiltonian Mechanics for a System of Many Particles = 87
• 3.5 Canonical Transformation = 94
• 3.6 Poisson Brackets = 100
• 3.7 Fluid Dynamics. Basic Evolution Equations = 107
• 3.8 Fluid Dynamics and Statistical Mechanics = 115
• 3.9 Oscillations of Particles on a String. Normal Modes = 120
• 3.10 Normal Coordinates = 128
• 3.11 Transverse Oscillations of a Stretched String = 133
• 3.12 Normal Coordinates for a String = 142
• 3.13 Velocity-Dependent Potential Generating the Lorentz Force = 153
• References = 161
• Review Questions = 162
• General Problems = 163
• Chapter 4. DISTRIBUTION FUNCTIONS. LIOUVILLE AND BOLTZMANN EQUATIONS
• 4.1 Irreversible Processes. Viscous Flow. Diffusion = 167
• 4.2 The Particle-Number Density. Microscopic Density = 174
• 4.3 Probability Distribution Function. The Liouville Equation = 184
• 4.4 The Gibbs Ensemble. The Liouville'Equation in the Γ-space = 192
• 4.5 More about the Liouville Equation = 197
• 4.6 The Many-Particle Distribution Function in the μ-Space. The Indistinguishability Factor = 200
• 4.7 Reduced Distribution Functions in the μ-Space = 211
• 4.8 Reduced Distribution Functions and Macroscopic Properties = 220
• 4.9 Evolution Equations for the Distribution Function f = 229
• 4.10 Rate of Collision. Mean Free Path = 235
• 4.11 Two Body Problem. Binary Collision = 240
• 4.12 The Boltzmann Equation = 253
• 4.13 Symmetries of Hamiltonians and Stationary States = 262
• 4.14 The Maxwell-Boltzmann Distribution Function = 269
• 4.15 Effusion. Experimental Check of the Velocity Distribution = 273
• 4.16 The H-theorem of Boltzmann = 281
• 4.17 Transport Coefficients = 285
• References = 288
• Review Questions = 290
• General Problems = 291
• Chapter 5 EQUATION OF STATE. FIRST AND SECOND LAWS OF THERMODYNAMICS
• 5.1 Equation of Thermodynamic State = 294
• 5.2 Ideal Gas. The absolute Temperature T = 295
• 5.3 Work. Quasi-static Processes. P-V Diagram = 297
• 5.4 Heat. Heat Capacities = 302
• 5.5 The First Law of Thermodynamics = 304
• 5.6 The First Law Applied to a Fluid = 306
• 5.7 Joule's Experment on the Free Expansion of a Gas = 309
• 5.8 Adiabatic Change of State = 313
• 5.9 The Second Law of Thermodynamics = 316
• 5.10 The Carnot Cycle = 318
• 5.11 Carnot's Theorem = 322
• 5.12 Heat Engines. Refrigerating Machines = 327
• 5.13 Vapor(Gas)-Liquid Transition. Critical State = 328
• 5.14 The Van der Waals Equation of State = 331
• References = 337
• Review Questions = 338
• General Problems = 339
• Chapter 6. ENTROPY. THERMODYNAMIC RELATIONS. APPLICATIONS
• 6.1 Clausius' Theorem = 342
• 6.2 The Entropy = 351
• 6.3 Some important Properties of the Entropy = 356
• 6.4 The perfect Differential = 361
• 6.5 Entropy of a Gas = 364
• 6.6 The Equation of Clausius and Clapeyron = 368
• 6.7 The Helmholtz Free Energy = 371
• 6.8 The Gibbs Free Energy = 375
• 6.9 Maxwell Relations = 379
• 6.10 Heat Capacities = 386
• 6.11 Sound Waves = 392
• References = 397
• Review Questions = 398
• General Problems = 399
• Chapter 7. CLASSICAL STATISTICAL MECHANICS. BASIC PRINCIPLES. SIMPLE APPLICATIONS
• 7.1 Fundamental Theorem. Canonical Ensemble = 402
• 7.2 More about the Canonical Ensemble. Approach to Stationary States = 406
• 7.3 Partition Function and Thermodynamic Quantities = 414
• 7.4 Classical Free Particles and an Ideal Gas = 420
• 7.5 Equipartition Theorem = 424
• 7.6 Heat Capacities of Simple Systems = 428
• 7.7 Fluctuation of Energy = 432
• 7.8 Bulk Limit = 434
• 7.9 The Entropy of Mixing = 440
• 7.10 The Gibbs Paradox = 446
• 7.11 Grand Canonical Ensemble = 448
• 7.12 Grand Partition Function and Thermodynamic Quantities = 455
• References = 460
• Review Questions = 461
• General Problems = 462
• APPENDICES
• A. Integrals Involving Exponential and Gaussian Functions = 465
• B. Arrival Probabilities in Correlated Walks = 467
• C. Vectors 472
• D. Tensors 490
• E. The Representation-Independence of Poisson's Brackets = 497
• F. Derivation of the B-B-G-K-Y Hierarchy Equation = 502
• USEFUL PHYSICAL CONSTANTS = 505
• MATHEMATICAL SIGNS AND SYMBOLS = 506
• LIST OF SYMBOLS = 507
• INDEX = 512
• [Volume. 2]----------
• CONTENTS
• Contents of volume 1
• Second Preface
• Chapter 8. QUANTUM MECHANICS. FUNDAMENTALS REVIEWED
• 8.1 Basic Experimental Facts = 2
• 8.2 Generalized Vectors. Matrices = 7
• 8.3 Linear Operators = 15
• 8.4 The Eigenvalue Problem = 21
• 8.5 Orthogonal Representation = 26
• 8.6 Quantum Mechanical Despription of Linear Motion = 33
• 8.7 The Momentum Eigenvalue Problem = 41
• 8.8 The Energy Eigenvalue Problem = 47
• 8.9 Simple Harmonic Oscillator = 51
• 8.10 Heisenberg's Uncertainty Principle = 58
• 8.11 Particle Moving in Three-dimensional Space = 63
• 8.12 Free Particle in Space = 69
• 8.13 Five Fundamental Postulates in Quantum Mechanics = 75
• 8.14 The Heisenberg Picture = 81
• 8.15 Correspondence between Quantum and Classical Mechanics = 87
• 8.16 The Gibbs Ensemble in Quantum Mechanics = 91
• References = 99
• Review Questions = 100
• General Problems = 101
• Chapter 9. QUANTUM STATISTICAL MECHANICS. BASIC PRINCIPLES
• 9.1 Permutation Group = 105
• 9.2 Odd and Even Permutations = 107
• 9.3 Indistinguishable Classical Particles = 115
• 9.4 Quantum Statistical Postulate. Symmetric States for Bosons = 120
• 9.5 Antisymmetric States for Fermions. Pauli's Exclusion Principle = 123
• 9.6 More about Bosons and Fermions. Quantum Statistics and spin = 127
• 9.7 The Occupation Number Representation = 130
• 9.8 The Gibbs Ensemble of Many-Particle Systems The Caninical Ensemble = 134
• 9.9 The Partition Function = 138
• 9.10 The Grand Canonical Ensemble = 143
• 9.11 The Bose and Fermi Distribution Functions = 149
• 9.12 Quantum Statistics in the Classical Limit = 153
• 9.13 Applicability of Classical Statistical Mechanics = 163
• References = 167
• Review Questions = 168
• General Problems = 169
• Chapter 10. CONDUCTION ELECTRONS AND LIQUID HELIUM
• 10.1 Conduction Electrons in a Metal = 172
• 10.2 Free electrons. Fermi Energy = 177
• 10.3 The Density of State in Momentum Space = 184
• 10.4 The Density of States in Energy = 189
• 10.5 The Heat Capacity of Degenerate Electrons. Qualitative Discussions = 193
• 10.6 The Heat Capacity of Degenerate Electrons. Quantitative Calculations = 197
• 10.7 Liquid Helium = 204
• 10.8 Free Bosons. The Bose-Einstein Condensation = 206
• 10.9 Bosons in Condensed Phase = 211
• References = 220
• Review Questions = 220
• General Problems = 221
• Chapter 11. BLACK BODY RADIATION. LATTICE VIBRATIONS
• 11.1 Electric and Magnetic Fields in a Vacuum. The Wave Equation and its Plane-Wave Solution = 224
• 11.2 The Electromagnetic Field Energy. Canonical Transformation = 231
• 11.3 Black Body Radiation. Planck Distribution Function = 238
• 11.4 Experimental Verification of the Planck Distribution Function = 242
• 11.5 Radiation Pressure = 248
• 11.6 Crystal Lattices = 252
• 11.7 Lattice Vibrations. Einstein's Theory of the Heat Capacity = 255
• 11.8 Elastic Properties = 260
• 11.9 Elastic Waves = 264
• 11.10 The Hamiltonian for Elastic Waves = 269
• 11.11 Debye's Theory of the Heat Capacity = 277
• 11.12 More about the Heat Capacity. Lattice Dynamics = 290
• References = 299
• Review Questions = 300
• General Problems = 301
• Chapter 12. SPIN AND MAGNETISM. PHASE TRANSITIONS. POLYMER CONFORMATION
• 12.1 Angular Momentum in Quantum Mechanics = 304
• 12.2 Properties of Angular Momentum = 308
• 12.3 The Spin Angular Momentum = 314
• 12.4 The Spin of the Electron = 317
• 12.5 The Magnetogyric Ratio = 321
• 12.6 Paramagnetism of Isolated Atoms. Curie's Law = 328
• 12.7 Pauli Paramagnetism.(Paramagnetism of degenerate Electrons) = 335
• 12.8 Ferromagnetism. Internal Field Model(Weiss) = 339
• 12.9 The Ising Model. Solution of the One-Dimensional Model = 349
• 12.10 Braggs-Williams Approximation = 359
• 12.11 More about the Ising Model = 366
• 12.12 Conformation of Polymers in Dilute Solution = 379
• 12.13 Helix-Coil Transition of Polypeptides in Solution = 385
• References = 399
• Review Questions = 401
• General Problems = 402
• Chapter 13. TRANSPORT PHENOMENA
• 13.1 Ohm's Law. The Electrical Conductivity. Matthiessen's Rule = 405
• 13.2 The Boltzmann Equation for an Electron-Impurity System = 409
• 13.3 The Current Relaxation Rate. = 413
• 13.4 Applications to Semiconductors = 420
• 13.5 The Motion of a Charged Particle in an Electromagnetic Field = 429
• 13.6 Generalized Ohm's Law. Absorption Power = 437
• 13.7 Kubo's Formula for the Electrical Conductivity = 444
• 13.8 More about Kubo's Formula = 451
• 13.9 The Dynamic Condictivity of Free Electrons = 455
• 13.10 More about the Mobility. Quasi-Particle Effect = 462
• 13.11 The Cyclotron Resonance = 471
• 13.12 The Diffusion = 479
• 13.13 Simulation of the Lorentz Gas = 483
• 13.14 Atomic Diffusion in Metals with Impurities = 493
• References = 501
• Review Questions = 503
• General Problems = 504
• BIBLIOGRAPHY = 506
• USEFUL PHYSICAL CONSTANT = 512
• LIST OF SYMBOLS = 513
• INDEX = 516