Unified Non-Local Relativistic Theory of Transport Processes [Paperback]

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

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 Intlsj