Statistical Mechanics(2nd edition)-Huang Ebook download

Statistical Mechanics(2nd edition)-Huang

 Textbook information

• Text book title            : Statistical Mechanics(2nd edition)
• Author                         : Kerson Huang
• ISBN                           : 1420079026

File information

• File size                     : 3.60 Mb
• File format                : DjVu File
• Total No. of pages    : 506 pages 

http://rapidshare.com/files/426428455/Statistical_Mechanics_2nd_Ed._-_K._Huang.djvu

 Text book Content page

PART A THERMODYNAMICS AND KINETIC THEORY

CHAPTER I THE LAWS OF THERMODYNAMICS 3

• 1.1 Preliminaries 3
• 1.2 The First Law of Thermodynamics 7
• 1.3 The Second Law of Thermodynamics 9
• 1.4 Entropy 14
• 1.5 Some Immediate Consequences of the Second Law 19
• 1.6 Thermodynamic Potentials 22
• 1.7 The Third Law of Thermodynamics 25

CHAPTER 2 SOME APPLICATIONS OF THERMODYNAMICS

• 2.1 Thermodynamic Description of Phase Transitions 31
• 2.2 Surface Effects in Condensation 35
• 2.3 Van der Waals Equation of State 38
• 2.4 Osmotic Pressure 43
• 2.5 The Limit of Thermodynamics 48

CHAPTER 3 THE PROBLEM OF KINETIC THEORY

• 3.1 Formulation of the Problem 52
• 3.2 Binary Collisions 56
• 3.3 The Boltzmann Transpod Equation 60
• 3.4 The Gibbsian Ensemble 62
• 3.5 The BBGKY Hierarchy 65

CHAPTER 4 THE EQUILIBRIUM STATE OF A DILUTE GAS

• 4.1 Boltzmann's HTheorem 73
• 4.2 The Maxwell-Boltzmann Distribution 75
• 4.3 The Method of the Most Probable Distribution 79
• 4.4 Analysis of the HTheorem 85
• 4.5 The Poincarb Cycle 90

CHAPTER 5 TRANSPQRT PHENOMENA

• 5.1 The Mean Free Path 93
• 5.2 Effusion 95
• 5.3 The Conservation Laws 96
• 5.4 The Zero-Order Approximation 100
• 5.5 The First-Order Approximation 104
• 5.6 Viscosity 108
• 5.7 Viscous Hydrodynamics 111
• 5,8 The Navier-Stokes Equation 113
• 5.9 Examples in Hydrodynamics 117

PART B STATISTICAL MECHANICS .12s 

CHAPTER 6 CLASSICAL STATISTICAL MECHANICS

• 6.1 The Postulate of Classical Statistical Mechanics 127
• 6.2 Microcanonical Ensemble 130
• 6.3 Derivation of Thermodynamics 135
• 6.4 Equipartition Theorem 136
• 6.5 Classical Ideal Gas 138
• 6.6 Gibbs Paradox 140

CHAPTER 7 CANONICAL ENSEMBLE AND
GRAND CANONICAL ENSEMBLE 143

• 7.1 Canonical Ensemble 143
• 7.2 Energy Fluctuations in the Canonical Ensemble 145
• 7.3 Grand Canonical Ensemble 149
• 7.4 Density Fluctuations in the Grand Canonical Ensemble
• 7.5 The Chemical Potential 154
• 7.6 Equivalence of the Canonical Ensemble and the Grand
• Canonical Ensemble 157
• 7.7 Behavior of W(N) 161
• 7.8 The Meaning of the Maxwell Construction 163

CHAPTER 8

• 8.1 The Postulates of Quantum Statistical Mechanics
• 8.2 Density Matrix 174
• 8.3 Ensembles in Quantum Statistical, Mechanics 176
• 8.4 The Third Law of Thermodynamics 178
• 8.5 The Ideal Gases: Microcanonical Ensemble 179
• 8.6 The Ideal Gases: Grand Canonical Ensemble 185
• 8.7 Foundations of Statistical Mechanics 189

QUANTUM STATISTICAL MECHANICS

CHAPTER 9 GENERAL PROPERTIES OF THE PARTITION FUNCTION

• 9.1 The Darwin-Fowler Method 193
• 9.2 Classical Limit of the Partition Function 199
• 9.3 Singularities and Phase Transitions 206
• 9.4 The Lee-Yang Circle Theorem 210

CHAPTER 10 APPROXIMATE METHODS 213

• lO. 1 Classical Cluster Expansion 213
• lO,2 Quantum Cluster Expansion 220
• lO,3 The Second Virial Coefficient 224
• 10,4 Variational Principles 228
• lO.S Imperfect Gases at Low Temperatures 230

CHAPTER 1 1 FERMI SYSTEMS 241

• 11.1 The Equation of State of an Ideal Fermi Gas 241
• 1 1,2 The Theory of White Dwarf Stars 24?
• 1 1,3 Landau Diamagnetism 253
• 1 1.4 The De Haas-Van Alphen Effect 260
• 1 1.5 The Quantized Hall Effect 261
• 11,6 Pauli Paramagnetism 26?
• 1 1,7 Magnetic Properties of an Imperfect Gas 2?2

CHAPTER 12 BOSE SYSTEMS 2?8

• 12.1 Photons 2?8
• 12.2 Phono. ns in Solids 283
• 12.3 Bose-Einstein Condensation 286
• 12.4 An Imperfect Bose Gas 294
• 12.5 The Superfluid Order Parameter 298

PART C SPECIAL TOPICS IN STATISTICAL MECHANICS 

CHAPTER 13 SUPERFLUIDS 307

• 13,1 Liquid Helium 307
• 13.2 Tisza's Two-Fluid Model 311
• 13.3 The Bose-Einstein Condensate 313
• 13.4 Landau's Theory 315
• 13.5 Superfluid Velocity 317
• 13.6 Superfluid Flow 321
• 13.7 The Phonon Wave Function 325
• 13.8 Dilute Bose Gas 329

CHAPTER 14 THE ISING MODEL 341

• 14.1 Definition of the Ising Model 341
• 14.2 Equivalence of the Ising Model to Other Models
• 14,3 Spontaneous Magnetization 348
• 14,4 The Bragg-Williams Approximation 352
• 14,5 The Bethe-Peierls Approximation 35?
• 14,6 The One-Dimensional Ising Model 361

CHAPTER 15 THE ONSAGER SOLUTION 368

• 15.1 Formulation of the Two-Dimensional Ising Model
• 15.2 Mathematical Digression 374
• 15.3 The Solution 378

CHAPTER 16 CRITICAL PHENOMENA 392

• 16.1 The Order Parameter 392
• 16.2 The Correlation Function and the Fluctuation-Dissipation Theorem
• 16.3 Critical Exponents 396
• 16.4 The Scaling Hypothesis 399
• 16.5 Scale Invariance 403
• 16.6 Goldstone Excitations 406
• 16.7 The Impodance of Dimensionality 407

CHAPTER 17 THE LANDAU APPROACH

• 17.1 The Landau Free Energy 416
• 7.2 Mathematical Digression 418
• 7.3 Derivation in Simple Models 420
• 7.4 Mean-Field Theory 422
• 7.6 The Van der Waals Equation of State
• 7.6 The Tricritical Point 428
• 7.7 The Gaussian Model 434
• 7.8 The Ginzburg Criterion 437
• 7.9 Anomalous Dimensions 438

CHAPTER 18 RENORMALIZATION GROUP 441

• 18.1 Block Spins 441
• 18.2 The One-Dimensional Ising Model 443
• 18.3 Renormalization-Group Transformation 446
• 18.4 Fixed Points and Scaling Fields 449
• 18.5 Momentum-Space Formulation 452
• 18.6 The Gaussian Model 455
• 18.7 The Landau-Wilson Model 458

APPENDIX N-BODY SYSTEM OF IDENTICAL PARTICLES

• A.1 The Two Kinds of Statistics 468
• A.2 N-Body Wave Functions 470
• A.3 Method of Quantized Fields 477
• A.4 Longitudinal Sum Rules 484

INDEX 487