Unified Non-Local Theory of Transport Processes: Generalized Boltzmann Physical Kinetics

ISBN-13: 9780444634788 / Angielski / Twarda / 2015 / 644 str.

Alexeev, Boris V.

Opis

Unified Non-Local Theory of Transport Processess, 2^nd 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 solitons in solid matter, and plasmas
• Uses generalized Boltzmann kinetic theory as an highly effective tool for solving many physical problems beyond classical physics
• Addresses dark matter and energy
• Presents non-local physics in many related problems of hydrodynamics, gravity, black holes, nonlinear optics, and applied mathematics

Recenzje

"...contains a lot of illustrations and calculations supplied with the detailed discussions of the used approximations, their precision, parameters, etc. It is especially important within the first part of the book, where the method is introduced since these items allow for studying of the topic by newcomers." --Zentralblatt MATH

Spis treści

PrefaceHistorical Introduction and the Problem FormulationChapter 1: Generalized Boltzmann EquationChapter 2: Theory of Generalized Hydrodynamic EquationsChapter 3: Quantum Non-Local HydrodynamicsChapter 4: Application of Unified Non-Local Theory to the Calculation of the Electronc and Proton Inner StructuresChapter 5: Non-Local Quantum Hydrodynamics in the Theory of Plasmoids and the Atom StructureChapter 6: Quantum Solitons in Solid MatterChapter 7: Generalized Boltzmann Physical Kinetics in Physics of PlasmaChapter 8: Physics of a Weakly Ionized GasChapter 9: Generalized Boltzmann Equation in the Theory of the Rarefied Gases and LiquidsChapter 10: Strict Theory of Turbulence and Some Applications of the Generalized Hydrodynamic TheoryChapter 11: Astrophysical ApplicationsChapter 12: The Generalized Relativistic Kinetic and Hydrodynamic TheoryAppendix 1: Perturbation Method of the Equation SolutionAppendix 2: Using of Curvilinear Coordinates in the Generalized Hydrodynamic TheoryAppendix 3: Characteristic Scales in Plasma PhysicsAppendix 4: Dispersion Relations in the Generalized Boltzmann Kinetic Thoery Neglecting the Integral Collision TermAppendix 5: Three-Diagonal Method of Gauss Elimination Techniques for the Differential Third and Second Order EquationsAppendix 6: Some Integral Calculations in the Generalized Navier - Stokes ApproximationAppendix 7: Derivation of Energy Equation ReferencesIndex