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 quantum atomic structure and dark matter 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 without studying his previous book. Comprehensive collection of non-local relativistic theory plus examples that currently can only be found scattered in the literatureProvides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmasUses generalized Boltzmann 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, black holes, nonlinear optics, and applied mathematicsIncludes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numerically INDICE: 1. Hydrodynamic form of the Dirac quantum relativistic equation 2. Generalized relativistic non-local kinetic equations without taking into account the external forces 3. Classical relativistic equilibrium distribution function and computation of equilibrium values of some macroscopic quantities 4. Generalized relativistic hydrodynamic Enskog equations without regard to external forces 5. Generalized relativistic Euler equations without taking into account external forces 6. The solution of some physical problems on the basis of the non-local relativistic equations without taking into account the external forces 7. Non-local relativistic kinetic equations and hydrodynamic Enskog equations taking into account the external forces 8. Generalized relativistic Euler equations taking into account the external forces 9. Application of the generalized relativistic kinetic and hydrodynamic equations to the study of graphene 10. Application of relativistic non-local physics in the theory of gravitational field interaction with a laser beam 11. Application of the generalized relativistic hydrodynamic equations to the study of the interaction of Planck radiation with the gravitational field 12. Connection between time quantization in the frame of non-local relativistic physics and Shannon-Nyquist-Kotelnikov theorem Appendices A.1. Elements of the theory of tensors A.2. Conservation of phase volume dx1dx2dx3 under the Lorentz transformations A.3. The relativistic invariance of the substantial derivative in one-dimensional motion A.4. Integration of 4-dimensional divergence in momentum space
- ISBN: 978-0-444-63854-0
- Editorial: Elsevier
- Encuadernacion: Rústica
- Páginas: 462
- Fecha Publicación: 01/09/2016
- Nº Volúmenes: 1
- Idioma: Inglés