Thermodynamics: A Dynamical Systems Approach

Thermodynamics: A Dynamical Systems Approach

by Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
     
 

"This is an original contribution to the important, but very diverse, field of thermodynamics. The book's self-contained system-theoretic approach makes it accessible to a wide audience of readers."—Jan Willems, University of Gronigen

"This is a truly original and fundamental contribution to the field of thermodynamics. It will make a lasting

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Overview

"This is an original contribution to the important, but very diverse, field of thermodynamics. The book's self-contained system-theoretic approach makes it accessible to a wide audience of readers."—Jan Willems, University of Gronigen

"This is a truly original and fundamental contribution to the field of thermodynamics. It will make a lasting contribution to the literature."—Naira Hovakimyan, Virginia Polytechnic Institute and State University

Product Details

ISBN-13:
9780691123271
Publisher:
Princeton University Press
Publication date:
07/05/2005
Series:
Princeton Series in Applied Mathematics Series
Edition description:
New Edition
Pages:
200
Product dimensions:
6.00(w) x 9.20(h) x 0.80(d)

Meet the Author

Wassim M. Haddad is Professor of Aerospace Engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is Associate Professor in the Department of Mechanical, Aerospace, and Biomedical Engineering at the University of Tennessee, Knoxville. Sergey G. Nersesov is a Ph.D. student in aerospace engineering at Georgia Institute of Technology.

Table of Contents

Preface ix
Chapter 1: Introduction 1
1.1 An Overview of Thermodynamics 1
1.2 System Thermodynamics 11
1.3 A Brief Outline of the Monograph 14
Chapter 2: Dynamical System Theory 17
2.1 Notation, Definitions, and Mathematical Preliminaries 17
2.2 Stability Theory for Nonnegative Dynamical Systems 20
2.3 Reversibility, Irreversibility, Recoverability, and Irrecoverability 27
2.4 Reversible Dynamical Systems, Volume-Preserving Flows, and Poincaré Recurrence 34
Chapter 3: A Systems Foundation for Thermodynamics 45
3.1 Introduction 45
3.2 Conservation of Energy and the First Law of Thermodynamics 46
3.3 Entropy and the Second Law of Thermodynamics 55
3.4 Ectropy 72
3.5 Semistability, Energy Equipartition, Irreversibility, and the Arrow of Time 81
3.6 Entropy Increase and the Second Law of Thermodynamics 89
3.7 Interconnections of Thermodynamic Systems 91
3.8 Monotonicity of System Energies in Thermodynamic Processes 98
Chapter 4: Temperature Equipartition and the Kinetic Theory of Gases
103
4.1 Semistability and Temperature Equipartition 103
4.2 Boltzmann Thermodynamics 110
Chapter 5: Work, Heat, and the Carnot Cycle 115
5.1 On the Equivalence of Work and Heat: The First Law Revisited 115
5.2 The Carnot Cycle and the Second Law of Thermodynamics 126
Chapter 6: Thermodynamic Systems with Linear Energy Exchange 131
6.1 Linear Thermodynamic System Models 131
6.2 Semistability and Energy Equipartition in Linear Thermodynamic Models 136
Chapter 7: Continuum Thermodynamics 141
7.1 Conservation Laws in Continuum Thermodynamics 141
7.2 Entropy and Ectropy for Continuum Thermodynamics 148
7.3 Semistability and Energy Equipartition in Continuum Thermo-dynamics 160
Chapter 8: Conclusion 169
Bibliography 175
Index 185

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