Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics

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Publisher : Springer
ISBN 13 : 3319411535
Total Pages : 201 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics by : Byung Chan Eu

Download or read book Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics written by Byung Chan Eu and published by Springer. This book was released on 2016-07-13 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on nonrelativistic contexts, it provides a comprehensive picture of the relativistic covariant kinetic theory of gases and relativistic hydrodynamics of gases.Relativistic theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids). They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. The irreversible covariant Boltzmann as well as the covariant form of the Boltzmann-Nordheim-Uehling-Uhlenbeck equation is used for deriving theories of irreversible transport equations and generalized hydrodynamic equations for either classical gases or quantum gases. They all conform rigorously to the tenet. All macroscopic observables described by the so-formulated theories therefore are likewise expected to strictly obey the tenet.

Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics

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Publisher : Springer
ISBN 13 : 3319411470
Total Pages : 603 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics by : Byung Chan Eu

Download or read book Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics written by Byung Chan Eu and published by Springer. This book was released on 2016-08-02 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on relativistic theories, it provides a comprehensive picture of the kinetic theory formulated from the viewpoint of nonequilibrium ensembles in both nonrelativistic and, in Vol. 2, relativistic contexts. Theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids) on the basis of irreversible kinetic equations satisfying the H theorem. They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. Both irreversible Boltzmann and generalized Boltzmann equations are used for deriving theories of irreversible transport equations and generalized hydrodynamic equations, which rigorously conform to the tenet. All observables described by the so-formulated theories therefore also strictly obey the tenet.

Extended Irreversible Thermodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642976719
Total Pages : 395 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Extended Irreversible Thermodynamics by : David Jou

Download or read book Extended Irreversible Thermodynamics written by David Jou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern technology strives towards higher speed, higher power, and higher miniaturiza tion. In these conditions, the classical transport equations must be updated in order to incorporate memory, non-local, and non-linear effects. These effects have been studied by starting from microscopic models which are specific to particular systems and whose solution requires mathematical approximations and boundary conditions. The aim of extended irreversible thermodynamics is to complement such microscopic analyses with a macroscopic framework which could play, with respect to the generalized trans port equations incorporating the aforementioned effects, a role similar to the one played by classical thermodynamics with respect to the classical transport equations. Such a macroscopic framework is particularly useful for comparing the results obtained from various microscopic models, for placing some restrictions on the range of validity of different approximations, and for settling a discussion on some basic concepts that arise unavoidably in a formalism that crosses the frontiers of the local-equilibrium theory. Extended irreversible thermodynamics is not at all in conflict with the classical theory of non-equilibrium thermodynamics and rational thermodynamics but must be viewed as a relevant extension of the scope of these descriptions. For the student or the researcher, it may be stimulating to go beyond the classical theories and to enter a of new ideas, new applications, and new problems.

Extended Irreversible Thermodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642565654
Total Pages : 475 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Extended Irreversible Thermodynamics by : D. Jou

Download or read book Extended Irreversible Thermodynamics written by D. Jou and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers a wide spectrum of applications and contains a wide discussion of the foundations and the scope of the most current theories of non-equilibrium thermodynamics. The new edition reflects new developments and contains a new chapter on the interplay between hydrodynamics and thermodynamics.

Chemical Thermodynamics

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813226072
Total Pages : 652 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Chemical Thermodynamics by : Byung Chan Eu

Download or read book Chemical Thermodynamics written by Byung Chan Eu and published by World Scientific Publishing Company. This book was released on 2018-03-09 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonequilibrium Statistical Mechanics

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Publisher : Springer
ISBN 13 : 9780792349808
Total Pages : 394 pages
Book Rating : 4.3/5 (498 download)

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Book Synopsis Nonequilibrium Statistical Mechanics by : Byung Chan Eu

Download or read book Nonequilibrium Statistical Mechanics written by Byung Chan Eu and published by Springer. This book was released on 1998-03-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, nonequilibrium statistical mechanics is developed by means of ensemble methods on the basis of the Boltzmann equation, the generic Boltzmann equations for classical and quantum dilute gases, and a generalised Boltzmann equation for dense simple fluids. The theories are developed in forms parallel with the equilibrium Gibbs ensemble theory in a way fully consistent with the laws of thermodynamics. The generalised hydrodynamics equations are the integral part of the theory and describe the evolution of macroscopic processes in accordance with the laws of thermodynamics of systems far removed from equilibrium. Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.

Statistical Mechanics of Nonequilibrium Processes, Basic Concepts, Kinetic Theory

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Author :
Publisher : Wiley-VCH
ISBN 13 : 9783527400836
Total Pages : 0 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Statistical Mechanics of Nonequilibrium Processes, Basic Concepts, Kinetic Theory by : Dmitrii Zubarev

Download or read book Statistical Mechanics of Nonequilibrium Processes, Basic Concepts, Kinetic Theory written by Dmitrii Zubarev and published by Wiley-VCH. This book was released on 1996-06-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. In distinction to currently available textbooks and monographs on this subject, the presentation of a wide range of nonequilibrium phenomena in many-particle systems is based on the unified approach which is a natural extension of the method of Gibbs ensembles to the nonequilibrium case. The general method of nonequilibrium ensembles is applied to describe kinetic processes in classical and quantum systems. In addition to standard examples, topical problems of the modern kinetic theory are considered, including many-particle effects in classical kinetics, non-Markovian kinetic equations for plasmas, and quantum kinetic processes in the presence of strong external fields. Exercises and problems for readers are also included. The book is self-contained and accessible to students having read the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.

Statistical Foundations of Irreversible Thermodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3322800199
Total Pages : 180 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Statistical Foundations of Irreversible Thermodynamics by : Roberto Luzzi

Download or read book Statistical Foundations of Irreversible Thermodynamics written by Roberto Luzzi and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some aspects of the physics of many-body systems arbitrarily away from equilibrium, mainly the characterization and irreversible evolution of their macroscopic state, are considered. The present status of phenomenological irreversible thermodynamics is described. An approach for building a statistical thermodynamics - dubbed Informational-Statistical-Thermodynamics - based on a non-equilibrium statistical ensemble formalism is presented. The formalism can be considered as encompassed within the scope of the so-called Predictive Statistical Mechanics, in which the predictability of future states in terms of the knowledge of present and past states, and the question of historicity in the case of systems with complex behaviour, is its main characteristic. The book is recommended for researchers in the area of non-equilibrium statistical mechanics and thermodynamics, as well as a textbook for advanced courses for graduate students in the area of condensed matter physics.

Nonequilibrium Thermodynamics and Its Statistical Foundations

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 458 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Nonequilibrium Thermodynamics and Its Statistical Foundations by : Hans J. Kreuzer

Download or read book Nonequilibrium Thermodynamics and Its Statistical Foundations written by Hans J. Kreuzer and published by Oxford University Press, USA. This book was released on 1981 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Understanding Non-equilibrium Thermodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540742522
Total Pages : 331 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Understanding Non-equilibrium Thermodynamics by : Georgy Lebon

Download or read book Understanding Non-equilibrium Thermodynamics written by Georgy Lebon and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonequilibrium Statistical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401724385
Total Pages : 405 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Nonequilibrium Statistical Mechanics by : Byung Chan Eu

Download or read book Nonequilibrium Statistical Mechanics written by Byung Chan Eu and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, nonequilibrium statistical mechanics is developed by means of ensemble methods on the basis of the Boltzmann equation, the generic Boltzmann equations for classical and quantum dilute gases, and a generalised Boltzmann equation for dense simple fluids. The theories are developed in forms parallel with the equilibrium Gibbs ensemble theory in a way fully consistent with the laws of thermodynamics. The generalised hydrodynamics equations are the integral part of the theory and describe the evolution of macroscopic processes in accordance with the laws of thermodynamics of systems far removed from equilibrium. Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.

Classical and Relativistic Rational Extended Thermodynamics of Gases

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Publisher : Springer Nature
ISBN 13 : 3030591441
Total Pages : 675 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Classical and Relativistic Rational Extended Thermodynamics of Gases by : Tommaso Ruggeri

Download or read book Classical and Relativistic Rational Extended Thermodynamics of Gases written by Tommaso Ruggeri and published by Springer Nature. This book was released on 2021-04-22 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.

Thermodynamics of Fluids Under Flow

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Publisher : Springer Science & Business Media
ISBN 13 : 9400701993
Total Pages : 304 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Thermodynamics of Fluids Under Flow by : David Jou

Download or read book Thermodynamics of Fluids Under Flow written by David Jou and published by Springer Science & Business Media. This book was released on 2010-12-02 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the book “Thermodynamics of Fluids under Flow,” which was published in 2000 and has now been corrected, expanded and updated. This is a companion book to our other title Extended irreversible thermodynamics (D. Jou, J. Casas-Vázquez and G. Lebon, Springer, 4th edition 2010), and of the textbook Understanding non-equilibrium thermodynamics (G. Lebon, D. Jou and J. Casas-Vázquez, Springer, 2008. The present book is more specialized than its counterpart, as it focuses its attention on the non-equilibrium thermodynamics of flowing fluids, incorporating non-trivial thermodynamic contributions of the flow, going beyond local equilibrium theories, i.e., including the effects of internal variables and of external forcing due to the flow. Whereas the book's first edition was much more focused on polymer solutions, with brief glimpses into ideal and real gases, the present edition covers a much wider variety of systems, such as: diluted and concentrated polymer solutions, polymer blends, laminar and turbulent superfluids, phonon hydrodynamics and heat transport in nanosystems, nuclear collisions, far-from-equilibrium ideal gases, and molecular solutions. It also deals with a variety of situations, emphasizing the non-equilibrium flow contribution: temperature and entropy in flowing ideal gases, shear-induced effects on phase transitions in real gases and on polymer solutions, stress-induced migration and its application to flow chromatography, Taylor dispersion, anomalous diffusion in flowing systems, the influence of the flow on chemical reactions, and polymer degradation. The new edition is not only broader in scope, but more educational in character, and with more emphasis on applications, in keeping with our times. It provides many examples of how a deeper theoretical understanding may bring new and more efficient applications, forging links between theoretical progress and practical aims. This updated version expands on the trusted content of its predecessor, making it more interesting and useful for a larger audience.

Non-Equilibrium Thermodynamics

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Publisher : Courier Corporation
ISBN 13 : 0486153509
Total Pages : 532 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Non-Equilibrium Thermodynamics by : S. R. De Groot

Download or read book Non-Equilibrium Thermodynamics written by S. R. De Groot and published by Courier Corporation. This book was released on 2013-01-23 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Thermodynamics of Fluids Under Flow

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Publisher : Springer Science & Business Media
ISBN 13 : 3662044145
Total Pages : 242 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Thermodynamics of Fluids Under Flow by : D. Jou

Download or read book Thermodynamics of Fluids Under Flow written by D. Jou and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the authors’ successful theory for extended irreversible thermodynamics, the book analyzes the thermodynamic aspects of several phenomena induced by the flow in fluid systems.

Advances in Some Hypersonic Vehicles Technologies

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Publisher : BoD – Books on Demand
ISBN 13 : 9535139037
Total Pages : 186 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Advances in Some Hypersonic Vehicles Technologies by : Ramesh K. Agarwal

Download or read book Advances in Some Hypersonic Vehicles Technologies written by Ramesh K. Agarwal and published by BoD – Books on Demand. This book was released on 2018-03-14 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes the recent progress in some hypersonic technologies such as the aerodynamic modeling and numerical simulations of rarefied flows, boundary layer receptivity, coupled aerodynamics, and heat transfer problems, including fluid-thermal-structure interactions and launcher aerodynamic design as well as other miscellaneous topics, such as porous ceramic composite phase change control system and vehicle profile, following LQR design. Both the researchers and the students should find the material useful in their work.

Statistical Theory of Heat

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Publisher : Springer Science & Business Media
ISBN 13 : 3642746853
Total Pages : 298 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Statistical Theory of Heat by : Wilhelm Brenig

Download or read book Statistical Theory of Heat written by Wilhelm Brenig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on the statistical theory of nonequilibrium phenomena grew out of lecture notes for courses on advanced statistical mechanics that were held more or less regularly at the Physics Department of the Technical University in Munich. My aim in these lectures was to incorporate various developments of many-body theory made during the last 20-30 years, in particular the correlation function approach, not just as an "extra" alongside the more "classical" results; I tried to use this approach as a unifying concept for the presentation of older as well as more recent results. I think that after so many excellent review articles and advanced treatments, correlation functions and memory kernels are as much a matter of course in nonequilibrium statistical physics as partition functions are in equilibrium theory, and should be used as such in regular courses and textbooks. The relations between correlation functions and earlier vehicles for the formulation of nonequilibrium theory such as kinetic equations, master equations, Onsager's theory, etc. , are discussed in detail in this volume. Since today there is growing interest in nonlinear phenomena I have included several chapters on related problems. There is some nonlinear response theory, some results on phenomenological nonlinear equations and some microscopic applications of the nonlinear response formalism. The main focus, however, is on the linear regime.