Non Equilibrium Thermodynamics Of Heterogeneous Systems

The purpose of this book is to encourage the use of non-equilibrium thermodynamics to describe transport in complex, heterogeneous media. With large coupling effects between the transport of heat, mass, charge and chemical reactions at surfaces, it is important to know how one should properly integrate across systems where different phases are in contact. No other book gives a prescription of how to set up flux equations for transports across heterogeneous systems. The authors apply the thermodynamic description in terms of excess densities, developed by Gibbs for equilibrium, to non-equilibrium systems. The treatment is restricted to transport into and through the surface. Using local equilibrium together with the balance equations for the surface, expressions for the excess entropy production of the surface and of the contact line are derived. Many examples are given to illustrate how the theory can be applied to coupled transport of mass, heat, charge and chemical reactions; in phase transitions, at electrode surfaces and in fuel cells. Molecular simulations and analytical studies are used to add insight. Sample Chapter(s). Chapter 1: Scope (169 KB). Contents: General Theory: The Entropy Production for a Homogeneous Phase: The Excess Entropy Production for the Surface; Flux Equations and Onsager Relations; Transport of Heat and Mass; Transport of Mass and Charge; Applications: Evaporation and Condensation; A Nonisothermal Concentration Cell; Adiabatic Electrode Reactions; The Formation Cell; Modeling the Polymer Electrolyte Fuel Cell; The Impedance of an Electrode Surface; The Non-Equilibrium Two-Phase van der Waals Model; and other chapters. Readership: Graduate students, researchers, lecturers and professionals in physics, nanoscience and surface science.

This book utilizes non-equilibrium thermodynamics to describe transport in complex, heterogeneous media. There are large coupling effects between transport of heat, mass, charge and chemical reactions at surfaces, and it is important to know how one should properly integrate across systems where different phases are in contact. There is no other book available today that gives a prescription of how to set up flux equations for transports across heterogeneous systems.

Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, Fourth Edition emphasizes the unifying role of thermodynamics in analyzing natural phenomena. This updated edition expands on the third edition by focusing on the general balance equations for coupled processes of physical, chemical and biological systems. Updates include stochastic approaches, self-organization criticality, ecosystems, mesoscopic thermodynamics, constructual law, quantum thermodynamics, fluctuation theory, information theory, and modeling the coupled biochemical systems. The book also emphasizes nonequilibrium thermodynamics tools, such as fluctuation theories, mesoscopic thermodynamic analysis, information theories, and quantum thermodynamics in describing and designing small scale systems. Provides a useful text for seniors and graduate students from diverse engineering and science programs Highlights the fundamentals of equilibrium thermodynamics, transport processes and chemical reactions Expands the theory of nonequilibrium thermodynamics and its use in coupled transport processes and chemical reactions in physical, chemical and biological systems Presents a unified analysis for transport and rate processes in various time and space scales Discusses stochastic approaches in thermodynamic analysis, including fluctuation and information theories, mesoscopic nonequilibrium thermodynamics, constructal law and quantum thermodynamics

Covering recent developments in the theory of non-equilibrium thermodynamics and its applications, this title is aimed at a predominantly, but not exclusively, academic audience of practitioners of thermodynamics and energy conversion.

Classic monograph treats irreversible processes and phenomena of thermodynamics: non-equilibrium thermodynamics. Covers statistical foundations and applications with chapters on fluctuation theory, theory of stochastic processes, kinetic theory of gases, more.

The purpose of this book is to encourage the use of non-equilibrium thermodynamics to describe transport in complex, heterogeneous media. With large coupling effects between the transport of heat, mass, charge and chemical reactions at surfaces, it is important to know how one should properly integrate across systems where different phases are in contact. No other book gives a prescription of how to set up flux equations for transports across heterogeneous systems.The authors apply the thermodynamic description in terms of excess densities, developed by Gibbs for equilibrium, to non-equilibrium systems. The treatment is restricted to transport into and through the surface. Using local equilibrium together with the balance equations for the surface, expressions for the excess entropy production of the surface and of the contact line are derived. Many examples are given to illustrate how the theory can be applied to coupled transport of mass, heat, charge and chemical reactions; in phase transitions, at electrode surfaces and in fuel cells. Molecular simulations and analytical studies are used to add insight.

Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. The second part focuses on different approaches. Throughout the presentation, the emphasis is on problem-solving applications. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.

In six lectures aspects of modern non-equilibrium thermodynamics of discrete systems as well as continuum theoretical concepts are represented. Starting out with survey and introduction, state spaces are defined, the existence of internal energy is investigated, and Clausius inequality including negative absolute temperature is derived by diagram technique. Non-equilibrium contact quantities, such as contact temperature — the dynamic analogue of thermostatic temperature — and chemical potentials are phenomenologically defined and quantumstatistically founded. Using Clausius inequality the existence of non-negative entropy production is proved which allows to formulate a dissipation inequality in continuum thermodynamics. The transition between thermodynamics of discrete systems and continuum thermodynamics with respect to contact quantities is considered. Different possibilities of exploiting the dissipation inequality for getting constraints for constitutive equations are discussed. Finally hyperbolic heat conduction in non-extended thermodynamics is treated. Contents:IntroductionFirst LawSecond LawNon-Equilibrium Contact Quantities and their Quantum-Statistical FoundationExistence of Non-Negative Entropy ProductionContinuum Thermodynamics Readership: Physicists, physico-chemists, theoretical engineers and thermodynamicists. Keywords:Non-Equilibrium Thermodynamics;Second Law;Continuum Thermodynamics;Discrete Systems;Contact Temperature;Clausius Inequality;Open Thermal Systems;Entropy Inequality;Constitutive Equations;Material Theory