A dynamical systems theory of thermodynamics

• 作者： Haddad, Wassim M., author.
• 其他題名：
  • Princeton series in applied mathematics ;
• 出版： Princeton : Princeton University Press
• 叢書名： Princeton series in applied mathematics ;68
• 主題： Thermodynamics. , Differentiable dynamical systems. , Dynamics. , Electronic books.
• ISBN： 0691192596 、 9780691190143 、 9780691192598
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references and index. A dynamical systems theory of thermodynamics -- Dedication -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Dynamical Systems Theory -- Chapter Three. A Dynamical Systems Foundation for Thermodynamics -- Chapter Four. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter Five. Work, Heat, and the Carnot Cycle -- Chapter Six. Mass-Action Kinetics and Chemical Thermodynamics -- Chapter Seven. Finite-Time Thermodynamics -- Chapter Eight. Critical Phenomena and Continuous Phase Transitions -- Chapter Nine. Thermodynamic Modeling of Discrete Dynamical Systems -- Chapter Ten. Critical Phenomena and Discontinuous Phase Transitions -- Chapter Eleven. Continuum Thermodynamics -- Chapter Twelve. Stochastic Thermodynamics: A Dynamical Systems Approach -- Chapter Thirteen. Relativistic Mechanics -- Chapter Fourteen. Relativistic Thermodynamics -- Chapter Fifteen. Thermodynamic Models with Subluminal Heat Propagation Speeds -- Chapter Sixteen. Conclusion -- Chapter Seventeen. Epilogue -- Chapter Eighteen. Afterword -- Bibliography -- Index.
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• 摘要註: A brand-new conceptual look at dynamical thermodynamics 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. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe-the entropic arrow of time.
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