Extended Thermodynamics

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Extended Thermodynamics

Author : Ingo Müller
Publisher : Springer Science & Business Media
ISBN 13 : 1468404474
Total Pages : 238 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Extended Thermodynamics by : Ingo Müller

Download or read book Extended Thermodynamics written by Ingo Müller and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.

Extended Irreversible Thermodynamics

Author : D. Jou
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.

Extended Thermodynamics Systems

Author : Stanislaw Sieniutycz
Publisher : CRC Press
ISBN 13 : 9780844816937
Total Pages : 516 pages
Book Rating : 4.8/5 (169 download)

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Book Synopsis Extended Thermodynamics Systems by : Stanislaw Sieniutycz

Download or read book Extended Thermodynamics Systems written by Stanislaw Sieniutycz and published by CRC Press. This book was released on 1992-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multiauthored volume sketches the applications of nonequilibrium thermodynamics to complex systems. These are characterized by an involved form of the Gibbs equation and include systems such as solutions of macromolecules, magnetic hysteresis bodies, viscoelastic fluids, polarizable media, fluids under stresses and in the presence of essential nonstationarities, and high temperature gradients. As a rule, the so- called internal variables and/or dissipative fluxes are essential in the thermodynamic description of such systems.

Extended Irreversible Thermodynamics

Author : David Jou
Publisher : Springer Verlag
ISBN 13 : 9783540607892
Total Pages : 383 pages
Book Rating : 4.6/5 (78 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 Verlag. This book was released on 1996-01-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems after each chapter

Extended Irreversible Thermodynamics

Author : David Jou
Publisher : Springer Science & Business Media
ISBN 13 : 3642974309
Total Pages : 320 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 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical irreversible thermodynamics, as developed by Onsager, Prigogine and many other authors, is based on the local-equilibrium hypothesis. Out of equilibrium, any system is assumed to depend locally on the same set of variables as when it is in eqUilibrium. This leads to a formal thermody namic structure identical to that of eqUilibrium: intensive parameters such as temperature, pressure and chemical potentials are well-defined quantities keeping their usual meaning, thermodynamic potentials are derived as Leg endre transformations and all equilibrium thermodynamic relations retain their validity. The theory based on this hypothesis has turned out to be very useful and has achieved a number of successes in many practical situations. of interest in going However, the recent decade has witnessed a surge beyond the classical formulation. There are several reasons for this. One of them is the development of experimental methods able to deal with the response of systems to high-frequency and short-wavelength perturbations, such as ultrasound propagation and light and neutron scattering. The ob served results have led to generalizations of the classical hydrodynamical theories, by including memory functions or generalized transport coefficients depending on the frequency and the wavevector. This field has generated impressive progress in non-equilibrium statistical mechanics, but for the moment it has not brought about a parallel development in non-equilibrium thermodynamics. An extension of thermodynamics compatible with gener alized hydrodynamics therefore appears to be a natural subject of research.

Rational Extended Thermodynamics beyond the Monatomic Gas

Author : Tommaso Ruggeri
Publisher : Springer
ISBN 13 : 3319133411
Total Pages : 381 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Rational Extended Thermodynamics beyond the Monatomic Gas by : Tommaso Ruggeri

Download or read book Rational Extended Thermodynamics beyond the Monatomic Gas written by Tommaso Ruggeri and published by Springer. This book was released on 2015-10-15 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule’s internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and sound waves are analyzed together with light scattering and heat conduction and the results are compared with experimental data. Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the applicability range of the theory has been restricted within rarefied monatomic gases. The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors and nano-scale phenomena.

Classical and Relativistic Rational Extended Thermodynamics of Gases

Author : Tommaso Ruggeri
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.

Extended Non-Equilibrium Thermodynamics

Author : Hatim Machrafi
Publisher : CRC Press
ISBN 13 : 1351021931
Total Pages : 226 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Extended Non-Equilibrium Thermodynamics by : Hatim Machrafi

Download or read book Extended Non-Equilibrium Thermodynamics written by Hatim Machrafi and published by CRC Press. This book was released on 2019-02-21 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extended Non-Equilibrium Thermodynamics provides powerful tools departing not from empirical or statistical considerations but from fundamental thermodynamic laws, proposing final solutions that are readily usable and recognizable for students, researchers and industry. The book deals with methods that allow combining easily the present theory with other fields of science, such as fluid and solid mechanics, heat and mass transfer processes, electricity and thermoelectricity, and so on. Not only are such combinations facilitated, but they are incorporated into the developments in such a way that they become part of the theory. This book aims at providing for a systematic presentation of Extended Non-Equilibrium Thermodynamics in nanosystems with a high degree of applicability. Furthermore, the book deals with how physical properties of systems behave as a function of their size. Moreover, it provides for a systematic approach to understand the behavior of thermal, electrical, thermoelectric, photovoltaic and nanofluid properties in nanosystems. Experimental results are used to validate the theory, the comparison is analysed, justified and discussed, and the theory is then again used to understand better experimental observations. The new developments in this book, being recognizable in relation with familiar concepts, should make it appealing for academics and researchers to teach and apply and graduate students to use. The text in this book is intended to bring attention to how the theory can be applied to real-life applications in nanoscaled environments. Case studies, and applications of theories, are explored including thereby nanoporous systems, solar panels, nanomedicine drug permeation and properties of nanoporous scaffolds. Explores new generalized thermodynamic models Provides introductory context of Extended Non-Equilibrium Thermodynamics within classical thermodynamics, theoretical fundamentals and several applications in nanosystems Provides for a systematic approach to understand the behavior of thermal, electric, thermoelectric and viscous properties as a function of several parameters in nanosystems Includes reflections to encourage the reader to think further and put the information into context Examines future developments of new constitutive equations and theories and places them in the framework of real-life applications in the energetic and medical sectors, such as photovoltaic and thermoelectric devices, nanoporous media, drug delivery and scaffolds

Rational extended thermodynamics

Author : Ingo Mueller
Publisher : Springer Science & Business Media
ISBN 13 : 1461222109
Total Pages : 332 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Rational extended thermodynamics by : Ingo Mueller

Download or read book Rational extended thermodynamics written by Ingo Mueller and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of high frequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are • field equations of balance type, • constitutive quantities depending on the present local state and • entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propaga tion. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium vari ables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions--derived from the entropy principle-take the form of integrability conditions.

Modern Thermodynamics

Author : Jitao Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3642113494
Total Pages : 290 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Modern Thermodynamics by : Jitao Wang

Download or read book Modern Thermodynamics written by Jitao Wang and published by Springer Science & Business Media. This book was released on 2011-10-15 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Modern Thermodynamics- Based on the Extended Carnot Theorem" provides comprehensive definitions and mathematical expressions of both classical and modern thermodynamics. The goal is to develop the fundamental theory on an extended Carnot theorem without incorporating any extraneous assumptions. In particular, it offers a fundamental thermodynamic and calculational methodology for the synthesis of low-pressure diamonds. It also discusses many "abnormal phenomena", such as spiral reactions, cyclic reactions, chemical oscillations, low-pressure carat-size diamond growth, biological systems, and more. The book is intended for chemists and physicists working in thermodynamics, chemical thermodynamics, phase diagrams, biochemistry and complex systems, as well as graduate students in these fields. Jitao Wang is a professor emeritus at Fudan University, Shanghai, China.

A History of Thermodynamics

Author : Ingo Müller
Publisher : Springer Science & Business Media
ISBN 13 : 3540462279
Total Pages : 336 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis A History of Thermodynamics by : Ingo Müller

Download or read book A History of Thermodynamics written by Ingo Müller and published by Springer Science & Business Media. This book was released on 2007-07-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an easy to read, all-embracing history of thermodynamics. It describes the long development of thermodynamics, from the misunderstood and misinterpreted to the conceptually simple and extremely useful theory that we know today. Coverage identifies not only the famous physicists who developed the field, but also engineers and scientists from other disciplines who helped in the development and spread of thermodynamics as well.

Rational Extended Thermodynamics beyond the Monatomic Gas

Author : Tommaso Ruggeri
Publisher : Springer
ISBN 13 : 9783319364797
Total Pages : 376 pages
Book Rating : 4.3/5 (647 download)

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Book Synopsis Rational Extended Thermodynamics beyond the Monatomic Gas by : Tommaso Ruggeri

Download or read book Rational Extended Thermodynamics beyond the Monatomic Gas written by Tommaso Ruggeri and published by Springer. This book was released on 2016-10-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule’s internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and sound waves are analyzed together with light scattering and heat conduction and the results are compared with experimental data. Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the applicability range of the theory has been restricted within rarefied monatomic gases. The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors and nano-scale phenomena.

Continuum Thermodynamics and Constitutive Theory

Author : Christina Papenfuß
Publisher : Springer Nature
ISBN 13 : 3030439895
Total Pages : 238 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Continuum Thermodynamics and Constitutive Theory by : Christina Papenfuß

Download or read book Continuum Thermodynamics and Constitutive Theory written by Christina Papenfuß and published by Springer Nature. This book was released on 2020-05-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes, rational thermodynamics, and extended thermodynamics. These different approaches are analyzed with respect to their presuppositions, as well as to their results, and each method is applied to several important examples. In many cases these examples are archetypes for numerous technologically important materials; i.e. complex materials having an internal structure. Some of the examples dealt with in this book are liquid crystals, colloid suspensions, ans fiber suspensions. The book well serves students and researchers who have basic knowledge in continuum mechanics and thermodynamics. It provides a systematic overview of the vast field of thermodynamic constitutive theory, beginning from a historical perspective and concluding with outstanding questions in recent research.

Thermodynamic Approaches in Engineering Systems

Author : Stanislaw Sieniutycz
Publisher : Elsevier
ISBN 13 : 0128093390
Total Pages : 740 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Thermodynamic Approaches in Engineering Systems by : Stanislaw Sieniutycz

Download or read book Thermodynamic Approaches in Engineering Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2016-05-20 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamic Approaches in Engineering Systems responds to the need for a synthesizing volume that throws light upon the extensive field of thermodynamics from a chemical engineering perspective that applies basic ideas and key results from the field to chemical engineering problems. This book outlines and interprets the most valuable achievements in applied non-equilibrium thermodynamics obtained within the recent fifty years. It synthesizes nontrivial achievements of thermodynamics in important branches of chemical and biochemical engineering. Readers will gain an update on what has been achieved, what new research problems could be stated, and what kind of further studies should be developed within specialized research. Presents clearly structured chapters beginning with an introduction, elaboration of the process, and results summarized in a conclusion Written by a first-class expert in the field of advanced methods in thermodynamics Provides a synthesis of recent thermodynamic developments in practical systems Presents very elaborate literature discussions from the past fifty years

Advanced Thermodynamics for Engineers

Author : D. Winterbone
Publisher : Butterworth-Heinemann
ISBN 13 : 0080523366
Total Pages : 399 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Advanced Thermodynamics for Engineers by : D. Winterbone

Download or read book Advanced Thermodynamics for Engineers written by D. Winterbone and published by Butterworth-Heinemann. This book was released on 1996-11-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the basic theories of thermodynamics are adequately covered by a number of existing texts, there is little literature that addresses more advanced topics. In this comprehensive work the author redresses this balance, drawing on his twenty-five years of experience of teaching thermodynamics at undergraduate and postgraduate level, to produce a definitive text to cover thoroughly, advanced syllabuses. The book introduces the basic concepts which apply over the whole range of new technologies, considering: a new approach to cycles, enabling their irreversibility to be taken into account; a detailed study of combustion to show how the chemical energy in a fuel is converted into thermal energy and emissions; an analysis of fuel cells to give an understanding of the direct conversion of chemical energy to electrical power; a detailed study of property relationships to enable more sophisticated analyses to be made of both high and low temperature plant and irreversible thermodynamics, whose principles might hold a key to new ways of efficiently covering energy to power (e.g. solar energy, fuel cells). Worked examples are included in most of the chapters, followed by exercises with solutions. By developing thermodynamics from an explicitly equilibrium perspective, showing how all systems attempt to reach a state of equilibrium, and the effects of these systems when they cannot, the result is an unparalleled insight into the more advanced considerations when converting any form of energy into power, that will prove invaluable to students and professional engineers of all disciplines.

Nonequilibrium Thermodynamics

Author : Yasar Demirel
Publisher : Newnes
ISBN 13 : 0444595813
Total Pages : 787 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Nonequilibrium Thermodynamics by : Yasar Demirel

Download or read book Nonequilibrium Thermodynamics written by Yasar Demirel and published by Newnes. This book was released on 2013-12-16 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural phenomena consist of simultaneously occurring transport processes and chemical reactions. These processes may interact with each other and may lead to self-organized structures, fluctuations, instabilities, and evolutionary systems. Nonequilibrium Thermodynamics, Third Edition emphasizes the unifying role of thermodynamics in analyzing the natural phenomena. This third edition updates and expands on the first and second editions by focusing on the general balance equations for coupled processes of physical, chemical, and biological systems. The new edition contains a new chapter on stochastic approaches to include the statistical thermodynamics, mesoscopic nonequilibrium thermodynamics, fluctuation theory, information theory, and modeling the coupled biochemical systems in thermodynamic analysis. This new addition also comes with more examples and practice problems. Informs and updates on all the latest developments in the field Contributions from leading authorities and industry experts A useful text for seniors and graduate students from diverse engineering and science programs to analyze some nonequilibrium, coupled, evolutionary, stochastic, and dissipative processes Highlights 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 Has 198 fully solved examples and 287 practice problems An Instructor Resource containing the Solution Manual can be obtained from the author: [email protected]

Quantum Thermodynamics

Author : Jochen Gemmer
Publisher : Springer Science & Business Media
ISBN 13 : 3540705090
Total Pages : 338 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Thermodynamics by : Jochen Gemmer

Download or read book Quantum Thermodynamics written by Jochen Gemmer and published by Springer Science & Business Media. This book was released on 2009-10-21 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?dence in the fruitfulness of this approach has waned. — Y. Ben-Menahem and I. Pitowsky [1] Abstract The basic motivation behind the present text is threefold: To give a new explanation for the emergence of thermodynamics, to investigate the interplay between quantum mechanics and thermodynamics, and to explore possible ext- sions of the common validity range of thermodynamics. Originally, thermodynamics has been a purely phenomenological science. Early s- entists (Galileo, Santorio, Celsius, Fahrenheit) tried to give de?nitions for quantities which were intuitively obvious to the observer, like pressure or temperature, and studied their interconnections. The idea that these phenomena might be linked to other ?elds of physics, like classical mechanics, e.g., was not common in those days. Such a connection was basically introduced when Joule calculated the heat equ- alent in 1840 showing that heat was a form of energy, just like kinetic or potential energy in the theory of mechanics. At the end of the 19th century, when the atomic theory became popular, researchers began to think of a gas as a huge amount of bouncing balls inside a box.