统计物理学PDF|Epub|txt|kindle电子书版本网盘下载

统计物理学PDF格式电子书版下载

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

Ⅰ Fundamentals of Statistical Physics1

1 The Lectures—A Survey3

1.1 The Journey:Many Different Approaches3

1.2 The Main Sights5

1.3 Is the Trip Worthwhile?9

2 One Particle and Many11

2.1 Formulation11

2.2 The Ising Model12

2.3 N Independent Particles—Quantum Description13

2.4 Averages From Derivatives15

2.5 N Independent Particles in a Box17

2.6 Fluctuations Big and Small20

2.7 The Problems of Statistical Physics21

3 Gaussian Distributions29

3.1 Introduction29

3.2 One Variable29

3.3 Many Gaussian Variables31

3.4 Lattice Green Function33

3.5 Gaussian Random Functions35

3.6 Central Limit Theorem35

3.7 Distribution of Energies36

3.8 Large Deviations38

3.9 On Almost Gaussian Integrals41

3.10 Three Versions of Gaussian Problems42

4 Quantum Mechanics and Lattices45

4.1 All of Quantum Mechanics in One Brief Section45

4.2 From d=1 Models to Quantum Mechanics46

4.3 An Example:The Linear Ising Chain48

4.4 One-Dimensional Gaussian Model51

4.5 Coherence Length56

4.6 Operator Averages57

4.7 Correlation Functions59

4.8 Ising Correlations60

4.9 Two-Dimensional Ising Model64

Ⅱ Random Dynamics69

5 Diffusion and Hopping71

5.1 Random Walk on a Lattice71

5.2 Formulating This Problem73

5.3 The Diffusion of Probability and Particles76

5.4 From Conservation to Hydrodynamic Equations79

5.5 Distribution Functions83

5.6 Cascade Processes and Securities Prices84

5.7 Reprints on Dynamics91

5.7.1 Forest and Witten:Smoke Particle Aggregates92

5.7.2 Witten and Sander:Diffusion Limited Aggregation101

5.7.3 Kadanoff:Chaos and Complexity105

6 From Hops to Statistical Mechanics119

6.1 Random Walk in Momentum120

6.2 The Diffusion Equation Again123

6.3 Time Dependence of Probability124

6.4 Time Dependence in Deterministic Case126

6.5 Equilibrium Solutions128

6.6 Back to Collisions131

6.7 From Fokker-Planck to Equilibrium133

6.8 Properties of Fokker-Planck Equation135

6.9 Reprints on Organization138

6.9.1 Chao Tang et al.:Phase Organization139

6.9.2 Baket al.:Self-Organized Criticality143

6.9.3 Carlson et al.:Singular Diffusion147

6.9.4 Jaeger et al.:Experimental Studies151

7 Correlations and Response155

7.1 Time Independent Response155

7.2 Hamiltonian Time-Dependence158

7.3 Sum Rules161

7.4 Non-Interacting Particles163

7.5 Plasma Behavior164

Ⅲ More Statistical Mechanics169

8 Statistical Thermodynamics171

8.1 The Chemical Potential Defined171

8.2 Barometer Formula173

8.3 Sharing Energy174

8.4 Ensemble Theory179

8.5 Temperatures and Energy Flow182

9 Fermi,Bose,and Other187

9.1 Quantum Formulation187

9.2 Statistical Mechanics of Non-Interacting Degenerate Particles188

9.3 The Non-Degenerate Limit191

9.4 Degenerate Fermions192

9.5 Degenerate Bosons Ⅰ.Photons and Phonons196

9.6 Degenerate Bosons Ⅱ.One-Dimensional Phonons198

9.7 Degenerate Bosons Ⅲ.Bose Phase Transition201

9.8 Entropies203

Ⅳ Phase Transitions207

10 Overview of Phase Transitions209

10.1 Thermodynamic Phases209

10.2 Phase Transitions210

10.3 Two Kinds of Transitions211

10.4 Back to the Ising Model214

10.5 Mean Field Theory of Magnets215

10.6 The Phases216

10.7 Low Temperature Result218

10.8 Free Energy Selection Argument219

10.9 Behaviors of Different Phases221

11 Mean Field Theory of Critical Behavior225

11.1 The Infinite Range Model226

11.2 Mean Field Theory Near the Critical Point227

11.3 Critical Indices230

11.4 Scaling Function for Magnetization231

11.5 Spatial Correlations232

11.6 Analyticity238

11.7 Mean Field Theory for the Free Energy239

11.8 When Mean Field Theory Fails242

12 Continuous Phase Transitions247

12.1 Historical Background247

12.2 Widom Scaling Theory248

12.3 The Ising Model:Rescaled252

12.4 Fixed Points257

12.5 Phenomenology of Scaling Fields258

12.6 Theory of Scaling Fields259

12.7 Scaling Relations for Operators262

12.8 Transforming Operators266

12.9 Universality266

12.10 Operator Product Expansions267

12.11 Reprints on Critical Correlations268

12.11.1 Kadanoff:Correlations Along a Line269

12.11.2 Kadanoff-Wegner:Marginal Behavior274

13 Renormalization in One Dimension279

13.1 Introduction279

13.2 Decimation279

13.3 The Ising Example280

13.4 Phase Diagrams,Flow Diagrams,and the Coherence Length281

13.5 The Gaussian Model283

13.6 Analysis of Recursion Relation284

13.7 Fixed Point Analysis for the Gaussian Model285

13.8 Two-Dimensional Ising Model288

14 Real Space Renormalization Techniques291

14.1 Introduction291

14.2 Decimation:An Exact Calculation292

14.3 The Method of Neglect294

14.4 Potential Moving295

14.5 Further Work298

14.6 Reprints on Real Space RG298

14.6.1 Niemeijer and van Leeuwen:Triangular Lattice R.G299

14.6.2 David Nelson's Early Summary303

14.6.3 Kadanoff:Bond-moving,and a Variational Method308

14.6.4 Kadanoff:Migdal's Simple and Versatile Method312

14.6.5 Migdal's Original Papers348

15 Duality359

15.1 Doing Sums359

15.2 Two Dimensions361

15.3 Direct Coupling and Dual Coupling363

15.4 Two-Dimensional Calculation365

15.5 Ising Model368

15.6 XY is Connected to SOS369

15.7 Gaussian goes into Gaussian371

15.8 Dual Correlations371

16 Planar Model and Coulomb Systems377

16.1 Why Study a Planar Model?377

16.2 One-Dimensional Case379

16.3 Phases of the Planar Model380

16.4 The Gaussian Approximation382

16.5 Two-Dimensional Coulomb Systems386

16.6 Multipole Expansion387

16.7 Reprint on Spin Waves390

16.7.1 V.L.Berezinskii:An Overview of Problems with Continuous Symmetry391

17 XY Model,Renormalization,and Duality399

17.1 Plan of Action399

17.2 Villain Representation of the Basic Bonds400

17.3 Duality Transformation401

17.4 Two Limits402

17.5 Vortex Representation403

17.6 The Magnetically Charged System405

17.7 Correlation Calculation408

17.8 The Renormalization Calculation409

17.9 Spatial Averages411

17.10 The Actual Renormalization413

17.11 Reprints on Planar Model415

17.11.1 The Kosterlitz-Thouless Theory416

17.11.2 Kosterlitz:On Renormalization of the Planar Model439

17.11.3 Jorge V.José,Leo P.Kadanoff,Scott Kirkpatrick,David R.Nelson:Renormalization and Vortices454

Index479