
- 466 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Unified Non-Local Relativistic Theory of Transport Processes
About this book
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.- 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
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Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- 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
- Appendices
- Index