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

Fully revised and expanded comprehensive monograph providing the unified theory of transport processes from atom structures to the evolution of the universe.

Boris V. Alexeev (Author)

9780444634788, Elsevier Science

Hardback, published 5 February 2015

644 pages
27.6 x 21.5 x 3.5 cm, 1.37 kg

"...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

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.

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

Subject Areas: Mechanics of fluids [TGMF], Materials science [TGM], Mathematical physics [PHU], Fluid mechanics [PHDF], Classical mechanics [PHD]