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| ALTERNATIVE MATHEMATICAL THEORY OF NON-EQUILIBRIUM PHENOMENA
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By
Dieter Straub, Universitat der Bundeswehr
William Ames, Georgia Institute of Technology
Included in series
Mathematics in Science and Engineering,
Description
Alternative Mathematical Theory of Non-equilibrium Phenomena presents an entirely new theoretical approach to complex
non-equilibrium phenomena, especially Gibbs/Falk thermodynamics and fluid mechanics. This innovative new theory allows for inclusion
of all state variables and introduces a new vector-dissipation velocity-which leads to useful restatements of momentum, the Second Law,
and tensors for the laws of motion, friction, and heat conduction. This application-oriented text is relatively self-contained and is
an excellent guide-book for engineers with a strong interest in fundamentals, or for professionals using applied mathematics and physics
in engineering applications.
This book emphasizes macroscopic phenomena, focusing specifically on gaseous states, though relations to
liquid and crystalline states are also considered. The author presents a new Alternative Continuum Theory of Compressible Fluids (AT)
which providesa qualitative description of the subject in predominantly physical terms, minimizing the mathematical premises. The methodology
discussed has applications in a wide range of fields outside of physics in areas including General System Theory, TheoreticalEconomics,
and Biophysics and Medicine.
Audience
Researchers, students, and practitioners in mechanics, thermodynamics, fluid mechanics, electrodynamics; mathematicians
Contents
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.
| Bibliographic details |
Hardbound, 377 pages, publication date: SEP-1996
ISBN-13: 978-0-12-673015-9
ISBN-10: 0-12-673015-6
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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USD 165
EUR 117.95
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Last update: 4 Sep 2009
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