Shock Wave and High Pressure Phenomena Mathematical Modeling of Shock-Wave Processes in Condensed Matter: From Statistical Thermodynamics to Control Theory, (Hardcover)

<p>Chapter 1 Models of continuum mechanics and their deficiencies <br>1.1 Description of macroscopic systems; macroscopic variables <br>1.2 Macroscopic transport equations <br>1.3 The problem of closure of the transport equations <br>1.4 Validity of continuum mechanics <br>1.5 Scale averaging effect on transport processes <br>1.6 Medium models and transient processes <br>1.7 The problem of a uniform description of the media motions <br>1.8 Deficiencies of the continuum mechanics concept <br>1.9 Short review of approaches to extension of continuum mechanics </p><p>Chapter 2 Specific Features of Processes Far from Equilibrium <br>2.1 Experimental difficulties in studying non-equilibrium processes <br>2.2 Anomalous medium response to strong impact <br>2.3 The internal structure effects <br>2.4 Fluctuations, oscillations, instabilities <br>2.5 Multi-scale energy exchange between various degrees of freedom <br>2.6 Multi-stage relaxation processes <br>2.7 Finite speed of disturbances propagation and the delay effects <br>2.8 Influence of the loading duration and inertial effects <br>2.9 Dynamic self-organization of new internal structure in open systems <br>2.10 Predictive ability of modeling non-equilibrium processes </p><p>Chapter 3 Macroscopic Description in Terms of Non-equilibrium Statistical Mechanics <br>3.1 Fundamentals of statistical mechanics <br>3.2 Description of macroscopic systems from the first principles <br>3.3 Main problem of non-equilibrium statistical mechanics <br>3.4 Rigorous statistical approaches to non-equilibrium processes <br>3.5 Non-equilibrium statistical operator by Zubarev <br>3.6 Bogolyubov's hypothesis of attenuation of spatiotemporal correlations <br>3.7 The nonlocal thermodynamic relationships with memory between the conjugate macroscopic fluxes and gradients <br>3.8 Two type of the nonlocal effects <br>3.9 The disadvantages and new opportunities to close transport equations for high-rate processes </p><p>Chapter 4 Thermodynamic Concepts Out of Equilibrium <br>4.1 Basic concepts and principles of thermodynamics <br>4.2 Linear thermodynamics of irreversible processes <br>4.3 Revision of the generally accepted thermodynamic concepts out of equilibrium <br>4.4 Local entropy production near and far from equilibrium <br>4.5 Total entropy generation and the second law of thermodynamics <br>4.6 Maximum entropy principle by Jaynes <br>4.7 Thermodynamic temporal evolution out of equilibrium <br>4.8 Influence of the constraints imposed on the system <br>4.9 Self-organization of new structures in thermodynamics </p><p>Chapter 5 New Approach to Modeling Non-equilibrium Processes <br>5.1 Generalized constitutive relationships based on non-equilibrium statistical mechanics <br>5.2 Modeling spatiotemporal correlation functions <br>5.3 Temporal stages of the correlation attenuation <br>5.4 Deficiencies of the generally accepted models for the medium with complicated properties <br>5.5 Requirements to new approach to modeling shock-induced processes <br>5.6 Foundations of new approach to modeling transport processes far from equilibrium <br>5.7 New approach to modeling transport processes far from equilibrium <br>5.8 Distinctive features of new approach from semi-em</p>

• Shock Wave and High Pressure Phenomena Mathematical Modeling of Shock-Wave Processes in Condensed Matter: From Statistical Thermodynamics to Control Theory, (Hardcover)
• Author: Springer
• ISBN: 9789811924033
• Format: Hardcover
• Publication Date: 2022-07-19
• Page Count: 336