Alternative Mathematical Theory of Non-equilibrium Phenomena

Dieter Straub (Eds.)9780126730159, 0126730156

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. Key Features * Presents the first theory capable of handling non-equilibria phenomena * Offers a unified theory of all branches of macroscopic physics * Considers a consistent and uniform view of reality, supported by modern mathematics, leading to results different than those produced by classical theories * Results in a change of paradigms in physics, engineering, and natural philosophy

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Table of contents :
Content:
Preface
Pages xi-xiii

Acknowledgments
Page xiv

Chapter 1 Physics today: Perspectives Original Research Article
Pages 1-24
Gerhilde

Chapter 2 Falkian dynamics: An introduction Original Research Article
Pages 25-68
Ortlinde

Chapter 3 Motion and matter Original Research Article
Pages 69-95
Waltraute

Chapter 4 Systems and symmetries Original Research Article
Pages 96-126
Schwertleite

Chapter 5 Barriers and balances Original Research Article
Pages 127-160
Helmwige

Chapter 6 Non-equilibrium processes Original Research Article
Pages 161-194
Siegrune

Chapter 7 General equation of motion and its approximations Original Research Article
Pages 195-225
Grimgerde

Chapter 8 Paradigmata are the winners’ dogmata Original Research Article
Pages 226-279
Rossweisse

Chapter 9 Gibbs-Falkian electromagnetism Original Research Article
Pages 280-313
Brünnhilde

Appendix 1 Atomism or the art of honest dissimulation
Pages 314-338
Woglinde

Appendix 2 Mathematical supplements
Pages 339-346
Wellgunde

Appendix 3 Computation scheme for a one-component single-phase body-field system
Pages 347-349
Floßhilde

List of relevant symbols
Pages 350-352

References
Pages 353-362

Name index
Pages 363-366

Subject index
Pages 367-377