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Statistical Mechanics

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  • Àú : Huang, Kerson
  • ÃâÆÇ»ç : Wiley
  • ¹ßÇà : 1987³â 05¿ù 01ÀÏ
  • Âʼö : 0
  • ISBN : 9780471815181
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PART A THERMODYNAMICS AND KINETIC THEORY 1 (124)
The Laws of Thermodynamics 3 (28)
Preliminaries 3 (4)
The First Law of Thermodynamics 7 (2)
The Second Law of Thermodynamics 9 (5)
Entroy 14 (5)
Some Immediate Consequences of the Second 19 (3)
Law
Thermodynamic Potentials 22 (3)
The Third Law of Thermodynamics 25 (6)
Some Applications of Thermodynamics 31 (21)
Thermodynamic Description of Phase 31 (4)
Transitions
Surface Effects in Condensation 35 (3)
Van der Waals Equation of State 38 (5)
Osmotic Pressure 43 (5)
The Limit of Thermodynamics 48 (4)
The Problem of Kinetic Theory 52 (21)
Formulation of the Problem 52 (4)
Binary Collisions 56 (4)
The Boltzmann Transport Equation 60 (2)
The Gibbsian Ensemble 62 (3)
The BBGKY Hierarchy 65 (8)
The Equilibrium state of a Dilute Gas 73 (20)
Boltzmann's H Theorem 73 (2)
The Maxwell-Boltzmann Distribution 75 (4)
The Method of the Most Probable Distribution 79 (6)
Analysis of the H Theorem 85 (5)
The Poincare Cycle 90 (3)
Transport Phenomena 93 (32)
The Mean Free Path 93 (2)
Effusion 95 (1)
The Conservation Laws 96 (4)
The Zero-Order Approximation 100(4)
The First-Order Approximation 104(4)
Viscosity 108(3)
Viscous Hydrodynamics 111(2)
The Navier-Stokes Equation 113(4)
Example in Hydrodynamics 117(8)
PART B STATISTICAL MECHANICS 125(180)
Classical Statistical Mechanics 127(16)
The Postulate of Classical Statistical 127(3)
Mechanics
Microcanonical Ensemble 130(5)
Derivationi of Thermodynamics 135(1)
Equipartition Theorem 136(2)
Classical Ideal Gas 138(2)
Gibbs Paradox 140(3)
Canonical Ensemble and Grand Canonical 143(28)
Ensemble
Canonical Ensemble 143(2)
Energy Fluctuations in the Canonical 145(4)
Ensemble
Grand Canonical Ensemble 149(3)
Density Fluctuations in the Grand Canonical 152(2)
Ensemble
The Chemical Potential 154(3)
Equivalence of the Canonical Ensemble and 157(4)
the Grand Canonical Ensemble
Behavior of W(N) 161(2)
The Meaning of the Maxwell Construction 163(8)
Quantum statistical mechanics 171(22)
The Postulates of Quantum Statistical 171(3)
Mechanics
Density Matrix 174(2)
Ensembles in Quantum Statistical Mechanics 176(2)
The Third Law of Thermodynamics 178(1)
The Ideal Gases: Microcanonical Ensemble 179(6)
The Ideal Gases: Grand Canonical Ensemble 185(4)
Foundations of Statistical Mechanics 189(4)
General Properties of the Partition Function 193(20)
The Darwin-Fowler Method 193(6)
Classical Limit of the Partition Function 199(7)
Singularities and Phase Transitions 206(4)
The Lee-Yang Circle Theorem 210(3)
Approximate Methods 213(28)
Classical Cluster Expansion 213(7)
Quantum Cluster Expansion 220(4)
The Second Virial Coefficient 224(4)
Variational Principles 228(2)
Imperfect Gases at Low Temperatures 230(11)
Fermi Systems 241(37)
The Equation of State of an Ideal Fermi Gas 241(6)
The Theory of White Dwarf Stars 247(6)
Landau Diamagnetism 253(7)
The De Haas-Van Alphen Effect 260(1)
The Quantized Hall Effect 261(6)
Pauli Paramagnetism 267(5)
Magnetic Properties of an Imperfect Gas 272(6)
Bose Systems 278(27)
Photons 278(5)
Phonons in Solids 283(3)
Bose-Einnstein Condensation 286(8)
An Imperfect Bose Gas 294(4)
The Superfluid Order Parameter 298(7)
PART C SPECIAL TOPICS IN STATISTICAL MECHANICS 305(163)
Superfluids 307(34)
Liquid Helium 307(4)
Tisza's Two-Fluid Model 311(2)
The Bose-Einstein Condensate 313(2)
Landau's Theory 315(2)
Superfluid Velocity 317(4)
Superfluid Flow 321(4)
The Phonon Wave Function 325(4)
Dilute Bose Gas 329(12)
The Ising Model 341(27)
Definition of the Ising Model 341(3)
Equivalence of the Ising Model to Other 344(4)
Models
Spontaneous Magnetization 348(4)
The Bragg-Williams Approximation 352(5)
The Bethe-Peierls Approximation 357(4)
The One-Dimensional Ising Model 361(7)
The Onsager Solution 368(24)
Formulation of the Two-Dimensional Ising 368(6)
Model
Mathematical Digression 374(4)
The Solution 378(14)
Critical Phenomena 392(24)
The Order Parameter 392(2)
The Correlation Function and the 394(2)
Fluctuation-Dissipation Theorem
Critical Exponents 396(3)
The Scaling Hypothesis 399(4)
Scale Invariance 403(3)
Goldstone Excitations 406(1)
The Importance of Dimensionality 407(9)
The Landau Approach 416(25)
The Landau Free Energy 416(2)
Mathematical Digression 418(2)
Derivation in Simple Models 420(2)
Mean-Field Theory 422(4)
The Van der Waals Equation of State 426(2)
The Tricritical Point 428(6)
The Gaussian Model 434(3)
The Ginzburg Criterion 437(1)
Anomalous Dimensions 438(3)
Renoremalization Group 441(27)
Block Spins 441(2)
The One-Dimensional Ising Model 443(3)
Renormalization-Group Transformation 446(3)
Fixed Points and Scaling Fields 449(3)
Momentum-Space Formulation 452(3)
The Gaussian Model 455(3)
The Landau-Wilson Model 458(10)
APPENDIX N-BODY SYSTEM OF IDENTICAL PARTICLES 468(19)
A.1 The Two Kinds of Statistics 468(2)
A.2 N-Body Wave Functions 470(7)
A.3 Method of Quantized Fields 477(7)
A.4 Longitudinal Sum Rules 484(3)
Index 487

Ã¥¼Ò°³

Unlike most other texts on the subject, this clear, concise introduction to the theory of microscopic bodies treats the modern theory of critical phenomena. Provides up-to-date coverage of recent major advances, including a self-contained description of thermodynamics and the classical kinetic theory of gases, interesting applications such as superfluids and the quantum Hall effect, several current research applications, The last three chapters are devoted to the Landau-Wilson approach to critical phenomena. Many new problems and illustrations have been added to this edition.

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