Unified Non-Local Relativistic Theory of Transport Processes

ISBN-13: 9780444638540 / Angielski / Miękka / 2016 / 466 str.

Boris V. Alexeev

Opis

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

Recenzje

"The author offers us a monograph about basic and fundamental relations that are the basement of many existing theories and for those who are looking for new and fresh view on existing theories this is a very valuable monograph." --Zentralblatt MATH

Spis treści

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