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1 online resource (466) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
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Print version record. |
| Contents |
Front Cover; Unified Non-Local Relativistic Theory of Transport Processes; Copyright; Contents; Preface; Introduction: Review of the Main Principles of the Unified Nonlocal Theory of Transport Processes; I.1. The Principles of Nonlocal Physics; I.2. On the Solution of Fundamental Problems of Nonlocal Statistical Theory of Dissipative Processes; I.3. Fundamental Postulates of the Special Theory of Relativity; References; Chapter 1: Hydrodynamic Form of the Dirac Quantum Relativistic Equation; 1.1. "Derivation" of the Dirac Equation. |
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1.2. Hydrodynamic Form of Dirac Equation in the Absence of an External Field1.3. Hydrodynamic Form of the Dirac Equation in an External Electromagnetic Field; References; Chapter 2: Generalized Relativistic Nonlocal Kinetic Equation Without Taking Into Account the External Forces; 2.1. The Collision Integral; 2.2. Nonlocal Relativistic Kinetic Equation; 2.3. Model Generalized Relativistic Kinetic Equation; References; Chapter 3: Classical Relativistic Equilibrium Distribution Function and Computation of Equilibrium Values of Some Macroscop ... |
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3.1. The Derivation of the Formula for the Classical Equilibrium Distribution Function3.2. The Calculation of the Number Density; 3.3. The Calculation of the Energy Density and Pressure; 3.4. The Calculation of the Density of Entropy; References; Chapter 4: Generalized Relativistic Hydrodynamic Enskog Equations Without Regard to External Forces; 4.1. Derivation of the Continuity Equation; 4.2. Derivation of the Motion Equation; 4.3. Derivation of the Energy Equation; 4.4. Generalized Enskog System of Relativistic Hydrodynamic Equations; References. |
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Chapter 5: Generalized Relativistic Hydrodynamic Euler Equations Without Taking Into Account the External Forces5.1. Components of Tensor Physical Quantities in the Local Rest System; 5.2. The Lorentz Transformation Law for Tensor Physical Quantities in One-Dimensional Case; 5.3. Generalized Relativistic Euler Equations for One-Dimensional Motion; 5.4. Generalized One-Dimensional Nonrelativistic Euler Equations as the Asymptotic Behavior of the Relativistic Equations; 5.5. Generalized Relativistic Euler Equations for Arbitrary Motion. |
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5.6. Generalized Nonrelativistic Euler Equations for an Arbitrary Motion as an Asymptotic Form of the Relativistic EquationsReferences; Chapter 6: The Solution of Some Physical Problems on the Basis of the Nonlocal Relativistic Equations Without Taking Into ... ; 6.1. The Propagation of Plane Harmonic Waves of Small Amplitude in the Ultra-Relativistic Medium; 6.2. Shock Waves in Relativistic Gas; 6.3. The Collision of Nucleons; References; Chapter 7: Nonlocal Relativistic Kinetic Equation and Hydrodynamic Enskog Equations Taking Into Account the External Forces. |
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Includes index. |
| Summary |
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. |
| Bibliography |
Includes bibliographical references and index. |
| Subject |
Transport theory.
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Relativistic mechanics.
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Théorie du transport.
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Mécanique relativiste.
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SCIENCE -- Energy.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Physics -- General.
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Relativistic mechanics
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Transport theory
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| Other Form: |
Print version: Alexeev, Boris V. Unified non-local relativistic theory of transport processes. Amsterdam, Netherlands : Elsevier, ©2016 0444638547 9780444638540 (OCoLC)949750269 |
| ISBN |
044463858X (electronic bk.) |
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9780444638588 (electronic bk.) |
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9780444638540 |
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0444638547 |
| Standard No. |
99971179530 |
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AU@ 000058968521 |
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DEBSZ 482473142 |
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GBVCP 879399538 |
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UKMGB 018082683 |
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