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A Dynamical Systems Theory of Thermodynamics
Haddad, Wassim M.
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| 자료유형 | E-BOOK |
|---|---|
| 서명/저자사항 | A Dynamical Systems Theory of Thermodynamics/ Wassim M. Haddad. |
| 개인저자 | Haddad, Wassim M.,1961- author. |
| 발행사항 | Princeton, New Jersey: Princeton University Press, [2019]. |
| 형태사항 | 1 online resource. |
| 총서사항 | Princeton Series in Applied Mathematics |
| ISBN | 9780691192598 0691192596 |
| 서지주기 | Includes bibliographical references and index. |
| 내용주기 | 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 Systems2.5 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 |
| 일반주제명 | Thermodynamics. Differentiable dynamical systems. Dynamics. SCIENCE --Mechanics --Thermodynamics. Differentiable dynamical systems. Dynamics. Thermodynamics. SCIENCE / Mechanics / Thermodynamics |
| 언어 | 영어 |
| 바로가기 | URL |
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