Alternative mathematical theory of non-equilibrium phenomena
1997
Physics Today--Perspectives: Motivation. Origin and Importance of Non-equilibrium Phenomena. Today's Mechanical World View: A Historical Outline. Continuum Theories of Mass-point Fluids. Gibbsian Thermostatics? FalkianDynamics--An Introduction: Falk's Principle. Gibbs Fundamental Equation and System Modeling. Equilibria and Criteria of Stability. Mathematical Foundation of Falk's Dynamics I: Mappings. Mathematical Foundation of Falk's Dynamics II: Systems. Motion and Matter: Basic Equations. Callen's Principle. Energy-Momentum Transport and Matter Model. Realistic Concept of Real Matter. Systems and Symmetry: An Approach to Implant Space and Time in Physics. Falk's Dynamics of Hamiltonian Systems. Review of the Noether Theorem. Phases, Heating, and Power as Interaction Phenomena. Barriers and Balances: Body-Field Systems. Multi-component Multi-phase Properties. Time Parameters in Thermodynamics of Fluid Systems. Balance Equations. Non-equilibrium Processes: Dissipation Velocity. Kinetic Equilibrium in Fields. Three Additional Theorems Concerning Non-Equilibrium. Hypothetical State at Rest. Constitutive Properties of Matter. General Equation of Motion and its Approximations: ElementaryPicture of Dissipation. General Equation of Motion. Some Remarks on Turbulent Flows. Conservation of Angular Momentum. Nacier-Stokes-Fourier Fluids. Simplified Models of Dissipative Flows. "Paradigmata are the Winner's Dogmata": Selection of Paragons. Vorticity-Influenced Flows. Basic Applications of Gasdynamics. Complex Flow Phenomena. Gibbs-Falkian Electromagnetism: A Quandary Concerning Electromagnetic Field Variables. Perspectives and Electromagnetic Units. Falk's Dynamics of Electromagnetic Phenomena. Maxwell's Equations. Non-Equilibrium Flows in Polarized Fluids. Sundry Remarks on an Electromagnetic Dilemma. Appendices. List of Frequently Used Symbols. References. Author Index. Subject Index.
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