Unified Non-Local Relativistic Theory of Transport Processes
Auteur : Alexeev Boris V.
Unified Non-Local Relativistic Theory of Transport Processes highlights the most significant features of non-local relativistic theory, which is a highly effective tool for solving many physical problems in areas where the classical local theory runs into difficulties. The book provides the fundamental science behind new non-local physics ? generalized for relativistic cases and applied in a range of scales ? from transport phenomena in massless physical systems to unified theory of dissipative structures.
The book complements the author?s previous monograph on Unified Non-Local Theory of Transport Processes (Elsevier, 2015), which is mainly devoted to non-relativistic non-local physics. Nevertheless, the theory as handled in this new work is outlined independently so the book can be studied on its own.
Introduction: Review of the Main Principles of the Unified Nonlocal Theory of Transport Processes
Chapter 1: Hydrodynamic Form of the Dirac Quantum Relativistic Equation
Chapter 2: Generalized Relativistic Nonlocal Kinetic Equation Without Taking Into Account the External Forces
Chapter 3: Classical Relativistic Equilibrium Distribution Function and Computation of Equilibrium Values of Some Macroscopic Quantities
Chapter 4: Generalized Relativistic Hydrodynamic Enskog Equations Without Regard to External Forces
Chapter 5: Generalized Relativistic Hydrodynamic Euler Equations Without Taking Into Account the External Forces
Chapter 6: The Solution of Some Physical Problems on the Basis of the Nonlocal Relativistic Equations Without Taking Into Account the External Forces
Chapter 7: Nonlocal Relativistic Kinetic Equation and Hydrodynamic Enskog Equations Taking Into Account the External Forces
Chapter 8: Generalized Relativistic Euler Equations Taking Into Account External Forces
Chapter 9: Application of the Generalized Relativistic Kinetic and Hydrodynamic Equations to the Study of Graphene
Chapter 10: Application of Relativistic Nonlocal Physics in the Theory of Gravitational Field Interaction With a Laser Beam
Chapter 11: Application of the Generalized Relativistic Hydrodynamic Equations to the Study of the Interaction of Planck Radiation With the Gravitational Field
Chapter 12: Connection Between Time Quantization in the Frame of Nonlocal Relativistic Physics and Shannon-Nyquist-Kotelnikov Theorem
Theoretical and applied physicists, astrophysicists, astronomers, cosmologists, and engineers
- Comprehensive collection of non-local relativistic theory with examples that could previously only be found scattered in the literature
- Provides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmas
- Uses generalized non-local kinetic theory as a highly effective tool for solving many physical problems beyond classical physics
- Presents non-local relativistic physics in many related problems of hydrodynamics, gravity, nonlinear optics, time quantization, and applied mathematics
- Includes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numerically
Date de parution : 08-2016
Ouvrage de 466 p.
19x23.3 cm
Thème d’Unified Non-Local Relativistic Theory of Transport Processes :
Mots-clés :
non-local physics; relativistic physical kinetics; interaction of laser beam with gravitational field; generalized system of relativistic hydrodynamics; Shannon–Nyquist– Kotelnikov theorem; generalized relativistic Euler equations; generalized relativistic Enskog equations; wave solutions for interaction of gravitational field with radiation