运输过程的统一非局部理论 广义波尔兹曼物理动力学PDF|Epub|txt|kindle电子书版本网盘下载

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1．Generalized Boltzmann Equation1

1.1. Mathematical Introduction-Method of Many Scales1

1.2. Hierarchy of Bogolubov Kinetic Equations11

1.3. Derivation of the Generalized Boltzmann Equation15

1.4. Generalized Boltzmann H-Theorem and the Problem of Irreversibility of Time31

1.5. Generalized Boltzmann Equation and Iterative Construction of Higher-Order Equations in the Boltzmann Kinetic Theory43

1.6. Generalized Boltzmann Equation and the Theory of Non-Local Kinetic Equations with Time Delay46

2．Theory of Generalized Hydrodynamic Equations53

2.1. Transport of Molecular Characteristics53

2.2. Hydrodynamic Enskog Equations55

2.3. Transformations of the Generalized Boltzmann Equation56

2.4. Generalized Continuity Equation58

2.5. Generalized Momentum Equation for Component60

2.6. Generalized Energy Equation for Component63

2.7. Summary of the Generalized Enskog Equations and Derivation of the67

Generalized Hydrodynamic Euler Equations67

3．Quantum Non-Local Hydrodynamics77

3.1. Generalized Hydrodynamic Equations and Quantum Mechanics77

3.2. GHEs，Quantum Hydrodynamics.SE as the Consequence of GHE82

3.3. SE and its Derivation from Liouville Equation88

3.4. Direct Experimental Confirmations of the Non-Local Effects89

4．Application of Unified Non-Local Theory to the Calculation of the Electron and Proton lnner Structures97

4.1. Generalized Quantum Hydrodynamic Equations97

4.2. The Charge Internal Structure of Electron100

4.3. The Derivation of the Angle Relaxation Equation106

4.4. The Mathematical Modeling of the Charge Distribution in Electron and Proton108

4.5. To the Theory of Proton and Electron as Ball-like Charged Objects129

5．Non-Local Quantum Hydrodynamics in the Theory of Plasmoids and the Atom Structure131

5.1. The Stationary Single Spherical Plasmoid131

5.2. Results of the Mathematical Modeling of the Rest Solitons133

5.3. Nonstationarv 1D Generalized Hydrodynamic Equations in the Self-Consistent Electrical Field.Quantization in the Generalized Quantum Hydrodynamics141

5.4. Moving Quantum Solitons in Self-Consistent Electric Field144

5.5. Mathematical Modeling of Moving Solitons146

5.6. Some Remarks Concerning CPT(harge-Parity-Time)Principle156

5.7. About Some Mysterious Events of the Last Hundred Years162

5.7.1. Tunguska Event(TE)162

5.7.2. Gagarin and Seryogin Air Crash164

5.7.3. Accident with Malaysia Airlines Flight MH370166

6．Quantum Solitons in Solid Matter169

6.1. Quantum Oscillators in the Unified Non-Local Theory169

6.2. Application of Non-Local Quantum Hydrodynamics to the Description of the Charged Density Waves in the Graphene Crystal Lattice177

6.3. Generalized Quantum Hydrodynamic Equations Describing the Soliton Movement in the Crystal Lattice179

6.4. Results of the Mathematical Modeling Without the External Electric Field189

6.5. Results of the Mathematical Modeling With the External Electric Field213

6.6. Spin Effects in the Generalized Quantum Hydrodynamic Equations232

6.7. To the Theory of the SC239

7．Generalized Boltzmann Physical Kinetics in Physics of Plasma243

7.1. Extension of Generalized Boltzmann Physical Kinetics for the Transport Processes Description in Plasma243

7.2. Dispersion Equations of Plasma in Generalized Boltzmann Theory250

7.3. The Generalized Theory of Landau Damping254

7.4. Evaluation of Landau Integral256

7.5. Estimation of the Accuracy of Landau Approximation264

7.6. Alternative Analytical Solutions of the Vlasov-Landau Dispersion Equation268

7.7. The Generalized Theory of Landau Damping in Collisional Media275

8．Physics of a Weakly Ionized Gas285

8.1. Charged Particles Relaxation in"Maxwellian"Gas and the Hydrodynamic Aspects of the Theory285

8.2. Distribution Function(DF)of the Charged Particles in the"Lorentz"Gas288

8.3. Charged Particles in Alternating Electric Field299

8.4. Conductivity of a Weakly Ionized Gas in the Ctossed Electric and Magnetic Fields301

8.5. Investigation of the GBE for Electron Energy Distribution in a Constant Electric Field with due Regard for Inelastic Collisions306

9．Generalized Boltzmann Equation in the Theory of the Rarefied Gases and Liquids315

9.1. Kinetic Coefficients in the Theory of the Generalized Kinetic Equations.Linearization of the Generalized Boltzmann Equation315

9.2. Approximate Modified Chapman-Enskog Method321

9.3. Kinetic Coefficient Calculation with Taking into Account the Statistical Fluctuations329

9.4. Sound Propagation Studied with the Generalized Equations of Fluid Dynamics333

9.5. Shock Wave Structure Examined with the Generalized Equations of Fluid Dynamics345

9.6. Boundary Conditions in the Theory of the Generalized Hydrodynamic Equations347

9.7. To the Kinetic and Hydrodynamic Theory of Liquids352

10．Strict Theory of Turbulence and Some Applications of the Generalized Hydrodynamic Theory363

10.1. About Principles of Classical Theory of Turbulent Flows363

10.2. Theory of Turbulence and Generalized Euler Equations364

10.3. Theory of Turbulence and the Generalized Enskog Equations373

10.4. Unsteady Flow of a Compressible Gas in a Cavity377

10.5. Application of the GHE：To the Investigation of Gas Flows in Channels with a Step387

10.6. Vortex and Turbulent Flow of Viscous Gas in Channel with Flat Plate395

11．Astrophysical Applications413

11.1. Solution of the Dark Matter Problem in the Frame of the Non-Local Physics413

11.2. Plasma-Gravitational Analogy in the Generalized Theory of Landau Damping414

11.3. Disk Galaxy Rotation and the Problem of Dark Matter425

11.4. Hubble Expansion and the Problem of Dark Energy438

11.5. Propagation of Plane Gravitational Waves in Vacuum with Cosmic Microwave Background445

11.6. Application of the Non-Local Physics in the Theory of the Matter Movement in Black Hole461

11.7. Self-similar Solutions of the Non-Local Equations469

11.7.1. Preliminary Remarks469

11.7.2. Self-similar Solutions of the Non-Local Equations in the Astrophysical Appl ications472

12．The Generalized Relativistic Kinetic Hydrodynamic Theory493

12.1. Hydrodynamic Form of the Dirac Quantum Relativistic Equation493

12.2. Generalized Relativistic Kinetic Equation497

12.3. Generalized Enskog Relativistic Hydrodynamic Equations502

12.3.1. Derivation of the Continuity Equation502

12.3.2. Derivation of the Motion Equation504

12.3.3. Derivation of the Energy Equation506

12.4. Generalized System of the Relativistic Hydrodynamics and Transfer to the Generalized Relativistic Non-Local Euler Hydrodynamic Equations508

12.5. Generalized Non-Local Relativistic Euler Equations513

12.6. The Limit Transfer to the Non-Relativistic Generalized Non-Local Euler Equations516

12.6.1. Some Auxiliary Expressions516

12.6.2. Non-Relativistic Generalized Eu ler Equations as Asymptotic of the Relativistic Equations517

12.7. Expansion of the Flat Harmonic Waves of Small Amplitudes in Ultra-Relativistic Media520

Some Remarks to the Conclusion of the Monograph531

Appendix 1．Perturbation Method of the Equation Solution Related to T[f]533

Appendix 2．Using of Curvilinear Coordinates in the Generalized Hydrodynamic Theory537

Appendix 3．Characteristic Scales in Plasma Physics557

Appendix 4．Dispersion Relations in the Generalized Boltzmann Kinetic Theory Neglecting the Integral Collision Term559

Appendix 5．Three-Diagonal Method of Gauss Elimination Techniques for the Differential Third-and Second-Order Equations561

Appendix 6．Some Integral Calculations in the Generalized Navier-Stokes Approximation567

Appendix 7．Derivation of Energy Equation for Invariant Eα=mαV2α/2+εα569

Appendix 8．To the Non-Local Theory of Cold Nuclear Fusion575

Appendix 9．To the Non-Local Theory of Variable Stars583

Appendix 10．To the Non-Local Theory of Levitation593

References601

Index609