A Dynamical Systems Theory of Thermodynamics

Description

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. Cover......Page 1 A Dynamical Systems Theory of Thermodynamic ......Page 5 Copyright......Page 6 Dedication ......Page 7 Epigraph ......Page 9 Contents ......Page 11 Preface......Page 17 1 Introduction......Page 21 2 Dynamical Systems Theory......Page 59 3 A Dynamical Systems Foundation for Thermodynamics......Page 135 4 Temperature Equipartition and the Kinetic Theory of Gases......Page 219 5 Work, Heat, and the Carnot Cycle......Page 243 6 Mass-Action Kinetics and Chemical Thermodynamics......Page 267 7 Finite-Time Thermodynamics......Page 309 8 Critical Phenomena and Continuous Phase Transitions......Page 327 9 Thermodynamic Modeling of Discrete Dynamical Systems......Page 351 10 Critical Phenomena and Discontinuous Phase Transitions......Page 403 11 Continuum Thermodynamics......Page 441 12 Stochastic Thermodynamics: A Dynamical Systems Approach......Page 481 13 Relativistic Mechanics......Page 543 14 Relativistic Thermodynamics......Page 587 15 Thermodynamic Models with Subluminal Heat Propagation Speeds......Page 611 16 Thermodynamic Models with Subluminal Heat Propagation Speeds......Page 653 17 Epilogue......Page 661 18 Afterword......Page 691 Bibliography......Page 697 Index......Page 731