Unified non-local theory of transport processes : generalized Boltzmann physical kinetics / B. V. Alexeev

Alexeev, Boris V., author
2nd ed.
Amsterdam, Netherlands ; Oxford, England ; Waltham, Massachusetts : Elsevier, 2015
1 online resource (644 p.)
Maxwell-Boltzmann distribution law.
Electronic books
Unified Non-Local Theory of Transport Processess, 2nd Edition provides a new theory of transport processes in gases, plasmas and liquids. It is shown that the well-known Boltzmann equation, which is the basis of the classical kinetic theory, is incorrect in the definite sense. Additional terms need to be added leading to a dramatic change in transport theory. The result is a strict theory of turbulence and the possibility to calculate turbulent flows from the first principles of physics. Fully revised and expanded edition, providing applications in quantum non-local hydrodynamics, quantum sol
Front Cover; Unified Non-Local Theory of Transport Processes: Generalized Boltzmann Physical Kinetics; Copyright; Contents; Preface; Historical Introduction and the Problem Formulation; Chapter 1: Generalized Boltzmann Equation; 1.1. Mathematical Introduction-Method of Many Scales; 1.2. Hierarchy of Bogolubov Kinetic Equations; 1.3. Derivation of the Generalized Boltzmann Equation; 1.4. Generalized Boltzmann H-Theorem and the Problem of Irreversibility of Time; 1.5. Generalized Boltzmann Equation and Iterative Construction of Higher-Order Equations in the Boltzmann Kinetic Theory
1.6. Generalized Boltzmann Equation and the Theory of Non-Local Kinetic Equations with Time DelayChapter 2: Theory of Generalized Hydrodynamic Equations; 2.1. Transport of Molecular Characteristics; 2.2. Hydrodynamic Enskog Equations; 2.3. Transformations of the Generalized Boltzmann Equation; 2.4. Generalized Continuity Equation; 2.5. Generalized Momentum Equation for Component; 2.6. Generalized Energy Equation for Component; 2.7. Summary of the Generalized Enskog Equations and Derivation of the Generalized Hydrodynamic Euler Equations; Chapter 3: Quantum Non-Local Hydrodynamics
3.1. Generalized Hydrodynamic Equations and Quantum Mechanics3.2. GHEs, Quantum Hydrodynamics. SE as the Consequence of GHE; 3.3. SE and its Derivation from Liouville Equation; 3.4. Direct Experimental Confirmations of the Non-Local Effects; Chapter 4: Application of Unified Non-Local Theory to the Calculation of the Electron and Proton Inner Structures; 4.1. Generalized Quantum Hydrodynamic Equations; 4.2. The Charge Internal Structure of Electron; 4.3. The Derivation of the Angle Relaxation Equation; 4.4. The Mathematical Modeling of the Charge Distribution in Electron and Proton
4.5. To the Theory of Proton and Electron as Ball-like Charged ObjectsChapter 5: Non-Local Quantum Hydrodynamics in the Theory of Plasmoids and the Atom Structure; 5.1. The Stationary Single Spherical Plasmoid; 5.2. Results of the Mathematical Modeling of the Rest Solitons; 5.3. Nonstationary 1D Generalized Hydrodynamic Equations in the Self-Consistent Electrical Field. Quantization in the Gen ...; 5.4. Moving Quantum Solitons in Self-Consistent Electric Field; 5.5. Mathematical Modeling of Moving Solitons; 5.6. Some Remarks Concerning CPT (Charge-Parity-Time) Principle
5.7. About Some Mysterious Events of the Last Hundred Years5.7.1. Tunguska Event (TE); 5.7.2. Gagarin and Seryogin Air Crash; 5.7.3. Accident with Malaysia Airlines Flight MH370; Chapter 6: Quantum Solitons in Solid Matter; 6.1. Quantum Oscillators in the Unified Non-local Theory; 6.2. Application of Non-Local Quantum Hydrodynamics to the Description of the Charged Density Waves in the Graphene Cryst ...; 6.3. Generalized Quantum Hydrodynamic Equations Describing the Soliton Movement in the Crystal Lattice; 6.4. Results of the Mathematical Modeling Without the External Electric Field
6.5. Results of the Mathematical Modeling With the External Electric Field
Description based upon print version of record.
Includes bibliographical references and index
Description based on online resource; title from PDF title page (ebrary, viewed February 27, 2015)
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