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.
Author(s): Wassim M. Haddad
Series: PRINCETON SERIES IN APPLIED MATHEMATICS
Publisher: Princeton University Press
Year: 2019
Language: English
Pages: 742
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
