A Dynamical Systems Theory of Thermodynamics / Wassim M. Haddad.

Format:

Book

Author/Creator:

Haddad, Wassim M., Author.

Contributor:

Haddad, Wassim M., Contributor.

Series:

Princeton Series in Applied Mathematics

Princeton Series in Applied Mathematics ; 68

Language:

English

Physical Description:

1 online resource (744 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2019]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

Contents

Preface

Chapter 1. Introduction

Chapter 2. Dynamical Systems Theory

Chapter 3. A Dynamical Systems Foundation for Thermodynamics

Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases

Chapter 5. Work, Heat, and the Carnot Cycle

Chapter 6. Mass-Action Kinetics and Chemical Thermodynamics

Chapter 7. Finite-Time Thermodynamics

Chapter 8. Critical Phenomena and Continuous Phase Transition

Chapter 9. Thermodynamic Modeling of Discrete Dynamical Systems

Chapter 10. Critical Phenomena and Discontinuous Phase Transitions

Chapter 11. Continuum Thermodynamics

Chapter 12. Stochastic Thermodynamics: A Dynamical Systems Approach

Chapter 13. Relativistic Mechanics

Chapter 14. Relativistic Thermodynamics

Chapter 15. Thermodynamic Models with Subluminal Heat Propagation Speeds

Chapter 16. Conclusion

Chapter 17. Epilogue

Chapter 18. Afterword

Bibliography

Index

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

ISBN:

9781523124572

1523124571

9780691192598

0691192596

OCLC:

1090539898