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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Wassim M Haddad |

ISBN: | 0691190143 9780691190143 |

OCLC Number: | 1059270700 |

Description: | xviii, 720 pages : illustrations ; 26 cm. |

Contents: | Cover Title; Copyright; Dedication; Contents; Preface; Chapter 1. Introduction; 1.1 An Overview of Classical Thermodynamics; 1.2 Thermodynamics and the Arrow of Time; 1.3 Modern Thermodynamics, Information Theory, and Statistical Energy Analysis; 1.4 Dynamical Systems; 1.5 Dynamical Thermodynamics: A Postmodern Approach; 1.6 A Brief Outline of the Monograph; Chapter 2. Dynamical Systems Theory; 2.1 Notation, Definitions, and Mathematical Preliminaries; 2.2 Stability Theory for Nonnegative Dynamical Systems; 2.3 Invariant Set Stability Theorems 2.4 Semistability of Nonnegative Dynamical Systems; 2.5 Stability Theory for Linear Nonnegative Dynamical Systems; 2.6 Lyapunov Analysis for Continuum Dynamical Systems Defined by Semigroups; 2.7 Reversibility, Irreversibility, Recoverability, and Irrecoverability; 2.8 Output Reversibility in Dynamical Systems; 2.9 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincaré Recurrence; 2.10 Poincaré Recurrence and Output Reversibility in Linear Dynamical Systems; Chapter 3. A Dynamical Systems Foundation for Thermodynamics; 3.1 Introduction 3.2 Conservation of Energy and the First Law of Thermodynamics3.3 Entropy and the Second Law of Thermodynamics; 3.4 Ectropy and the Second Law of Thermodynamics; 3.5 Semistability, Energy Equipartition, Irreversibility, and the Arrow of Time; 3.6 Entropy Increase and the Second Law of Thermodynamics; 3.7 Interconnections of Thermodynamic Systems; 3.8 Monotonicity of System Energies in Thermodynamic Processes; 3.9 The Second Law as a Statement of Entropy Increase; 3.10 Thermodynamic Systems with Linear Energy Exchange; 3.11 Semistability and Energy Equipartition in Linear Thermodynamic Models 3.12 Semistability and Energy Equipartition of Thermodynamic Systems with Directed Energy FlowChapter 4. Temperature Equipartition and the Kinetic Theory of Gases; 4.1 Semistability and Temperature Equipartition; 4.2 Boltzmann Thermodynamics; 4.3 Connections to Classical Thermodynamic Energy, Entropy, and Thermal Equilibria; Chapter 5. Work, Heat, and the Carnot Cycle; 5.1 On the Equivalence of Work and Heat: The First Law Revisited; 5.2 Work Energy, Gibbs Free Energy, Helmholtz Free Energy, Enthalpy, and Entropy; 5.3 The Carnot Cycle and the Second Law of Thermodynamics Chapter 6. Mass-Action Kinetics and Chemical Thermodynamics6.1 Introduction; 6.2 Reaction Networks; 6.3 The Law of Mass Action and the Kinetic Equations; 6.4 Nonnegativity of Solutions; 6.5 Realization of Mass-Action Kinetics; 6.6 Reducibility of the Kinetic Equations; 6.7 Stability Analysis of Linear and Nonlinear Kinetics; 6.8 The Zero-Deficiency Theorem; 6.9 Chemical Equilibria, Chemical Potential, and Chemical Thermodynamics; Chapter 7. Finite-Time Thermodynamics; 7.1 Introduction; 7.2 Finite-Time Semistability of Nonlinear Nonnegative Dynamical Systems |

Series Title: | Princeton series in applied mathematics. |

Responsibility: | Wassim M. Haddad. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"This effective blend of thermodynamics and the theory of dynamical systems provides a unified, coherent, and mathematically accurate framework that is currently missing in the literature. This is a significant contribution to several fields spanning dynamical systems, mathematics, physics, chemistry, and more. It will provide the underlying foundation for additional research and conceptual understanding of physical phenomena."-Kyriakos G. Vamvoudakis, Georgia Institute of Technology "By applying ideas and techniques from compartmental systems theory, Haddad's treatise places thermodynamics on a solid foundation for the twenty-first century."-Dennis Bernstein, University of Michigan "Haddad develops an original mathematical framework for thermodynamics deeply rooted in modern systems theory, threading postulates and analyses of a science that has evolved from the seemingly mundane quest for efficiency in steam engines to the flow of time and the workings of the cosmos and life itself. He succeeds in presenting an all-encompassing treatise, from the early works of Carnot and Clausius to the insights of relativity and the conundrum of the time arrow, in a lucid exposition that systematically details a rigorous base for future generations of scientists and theorists."-Tryphon Georgiou, University of California, Irvine "This remarkable book studies thermodynamics within the framework of dynamical systems theory. A major contribution by any standard, it is a gem in the tiara of books being written by one of the most prolific, deep-thinking, and insightful researchers working today."-Frank Lewis, University of Texas, Arlington Read more...

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