Unified Non-Local Relativistic Theory of Transport Processes

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 literatureProvides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmasUses generalized non-local kinetic theory as a highly effective tool for solving many physical problems beyond classical physicsPresents non-local relativistic physics in many related problems of hydrodynamics, gravity, nonlinear optics, time quantization, and applied mathematicsIncludes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numerically

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