A Dynamical Systems Theory of Thermodynamics

丛 书 名：Princeton series in applied mathematics

版本说明：SCH - School edition

作     者：Wassim M. Haddad 

I S B N：(纸本) 9780691190143 

出 版 社：Princeton University Press 

出 版 年：2019年

页      数：xvii, 720 pages :页

主 题 词：Dynamics. Differentiable dynamical systems. Thermodynamics. 

学科分类：12[管理学] 080701[工学-工程热物理] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 08[工学] 09[农学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 070102[理学-计算数学] 0701[理学-数学] 070101[理学-基础数学] 

摘      要：A brand-new conceptual look at dynamical thermodynamicsThis 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 *** 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.