A Dynamical Systems Theory of Thermodynamics
eBook - PDF

A Dynamical Systems Theory of Thermodynamics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Dynamical Systems Theory of Thermodynamics

About this book

A brand-new conceptual look at dynamical thermodynamics

This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics.

This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics.

A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

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Yes, you can access A Dynamical Systems Theory of Thermodynamics by Wassim M. Haddad in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. Preface
  7. Chapter 1. Introduction
  8. Chapter 2. Dynamical Systems Theory
  9. Chapter 3. A Dynamical Systems Foundation for Thermodynamics
  10. Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases
  11. Chapter 5. Work, Heat, and the Carnot Cycle
  12. Chapter 6. Mass-Action Kinetics and Chemical Thermodynamics
  13. Chapter 7. Finite-Time Thermodynamics
  14. Chapter 8. Critical Phenomena and Continuous Phase Transitions
  15. Chapter 9. Thermodynamic Modeling of Discrete Dynamical Systems
  16. Chapter 10. Critical Phenomena and Discontinuous Phase Transitions
  17. Chapter 11. Continuum Thermodynamics
  18. Chapter 12. Stochastic Thermodynamics: A Dynamical Systems Approach
  19. Chapter 13. Relativistic Mechanics
  20. Chapter 14. Relativistic Thermodynamics
  21. Chapter 15. Thermodynamic Models with Subluminal Heat Propagation Speeds
  22. Chapter 16. Conclusion
  23. Chapter 17. Epilogue
  24. Chapter 18. Afterword
  25. Bibliography
  26. Index