Statistical Foundations Of Irreversible Thermodynamics
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Statistical Foundations Of Irreversible Thermodynamics
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Author : Roberto Luzzi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Statistical Foundations Of Irreversible Thermodynamics written by Roberto Luzzi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Thermodynamics is considered to be an offshoot of the Industrial Revo lution that began in England in the second half of the 18th Century and from there spread to other parts of the world. The word thermodynamics is derived from the Greek therme (meaning heat) and dynamis (meaning force). As well known, the origins of thermodynamics are founded in the early 19th century in the study of the motive power of heat; that is, the capability of hot bodies to produce mechanical work. However, there are of course precursors to these ideas: Temperature is probably the earliest thermodynamic concept to attain operational status (early in the 17th century with Galileo). The science of calorimetry beginning in the late 18th century (contemporary with the beginning of the Indus trial Revolution) led to the establishment of the caloric theory of heat [5]. Clausius in the second half of the 19th century established Thermody namics as a clearly defined science. The connection of Thermodynamics with Mechanics is first achieved through kinetic theory with the work of D. Bernouilli, J Herapath, ]. ]. Waterston, R. Clausius, ]. c. Maxwell, and finally L. Boltzmann, later through Statistical Mechanics, whose main purpose is to determine the thermodynamic properties and values of macroscopic observables in terms of the dynamical laws that govern the motion of the constitutive particles of the system. It is not easy to estab lish precisely the dates of the birth of Statistical Mechanics.
Statistical Foundations Of Irreversible Thermodynamics
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Author : Roberto Luzzi
language : en
Publisher:
Release Date : 2002
Statistical Foundations Of Irreversible Thermodynamics written by Roberto Luzzi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Non Equilibrium Statistical Thermodynamics
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Author : Xavier de Hemptinne
language : en
Publisher: World Scientific
Release Date : 1992
Non Equilibrium Statistical Thermodynamics written by Xavier de Hemptinne and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
This book stresses the role of uncorrelated exchange of properties between macroscopic systems and their surroundings as the only source of dynamic irreversibility. To that end, fundamentals of statistical thermodynamics extended to the non-equilibrium are worked out carefully. The principles are then applied to selected problems in classical fluid dynamics. Transport coefficients are first derived from basic laws. This is followed by a full discussion of transitions to dissipative structures in selected systems far removed from equilibrium (Bnard and Taylor vortices, calculation of the critical Reynolds number for transition to turbulence in Poiseuille flow). The final part focuses on interaction of matter with light. Fundamentals are extended towards quantum-mechanical systems. Applied to coherent radiation and its interaction with matter, the proposed thermodynamic treatment introduces an original discussion into the quantum nature of micro-physics.The book questions and reconsiders a deeply rooted paradigm in macroscopic dynamics concerning the cause of irreversibility. The new proposal is illustrated by application to a couple of well documented non-equilibrium domains, namely fluid dynamics and laser physics.
Lectures On The Mechanical Foundations Of Thermodynamics
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Author : Michele Campisi
language : en
Publisher: Springer Nature
Release Date : 2025-01-21
Lectures On The Mechanical Foundations Of Thermodynamics written by Michele Campisi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-21 with Science categories.
This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866–1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884–1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876–1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimensions (including differential forms), thermodynamics, and probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics and also allow for a more direct treatment of the topic of ensemble equivalence. In this second edition, a chapter is added that addresses the long-debated question of how the second law of thermodynamics can be reconciled with mechanics, by using modern methods of non-equilibrium statistical mechanics.
Understanding Non Equilibrium Thermodynamics
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Author : Georgy Lebon
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-12
Understanding Non Equilibrium Thermodynamics written by Georgy Lebon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-12 with Science categories.
Our time is characterized by an explosion of information and by an accel- ation of knowledge. A book cannot compete with the huge amount of data available on the Web. However, to assimilate all this information, it is n- essary to structure our knowledge in a useful conceptual framework. The purpose of the present work is to provide such a structure for students and researchers interested by the current state of the art of non-equilibrium th- modynamics. The main features of the book are a concise and critical pres- tation of the basic ideas, illustrated by a series of examples, selected not only for their pedagogical value but also for the perspectives o?ered by recent technological advances. This book is aimed at students and researchers in physics, chemistry, engineering, material sciences, and biology. We have been guided by two apparently antagonistic objectives: gener- ity and simplicity. To make the book accessible to a large audience of n- specialists, we have decided about a simpli?ed but rigorous presentation. Emphasis is put on the underlying physical background without sacri?cing mathematical rigour, the several formalisms being illustrated by a list of - amplesandproblems. Alloverthiswork,wehavebeenguidedbytheformula: “Getthemorefromtheless”,withthepurposetomakeamaximumofpeople aware of a maximum of knowledge from a minimum of basic tools. Besidesbeinganintroductorytext,ourobjectiveistopresentanoverview, as general as possible, of the more recent developments in non-equilibrium thermodynamics, especially beyond the local equilibrium description.
Extended Irreversible Thermodynamics
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Author : David Jou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Extended Irreversible Thermodynamics written by David Jou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Extended Irreversible Thermodynamics
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Author : D. Jou
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Extended Irreversible Thermodynamics written by D. Jou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Science categories.
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.
Predictive Statistical Mechanics
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Author : Roberto Luzzi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Predictive Statistical Mechanics written by Roberto Luzzi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed.
A Course In Statistical Thermodynamics
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Author : Joseph Kestin
language : en
Publisher: Elsevier
Release Date : 2012-12-02
A Course In Statistical Thermodynamics written by Joseph Kestin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
A Course in Statistical Thermodynamics explores the physical aspects of the methodology of statistical thermodynamics without the use of advanced mathematical methods. This book is divided into 14 chapters that focus on a correct statement of the Gibbsian ensemble theory couched in quantum-mechanical terms throughout. The introductory chapters emphasize the concept of equilibrium, phase space, the principle of their quantization, and the fundamentals of quantum mechanics and spectroscopy. These topics are followed by an exposition of the statistical method, revealing that the structure of the physical theory is closely modeled on mathematical statistics. A chapter focuses on stationary ensembles and the restatement of the First, Second, and Third Law of Thermodynamics. The remaining chapters highlight the various specialized applications of statistical thermodynamics, including real and degenerate gases, simple solids, radiation, magnetic systems, nonequilibrium states, and fluctuations. These chapters also provide a rigorous derivation of Boltzmann's equation, the H-theorem, and the vexing paradox that arises when microscopic reversibility must be reconciled with irreversible behavior in the large. This book can be used for two semesters in the junior or senior years, or as a first-year graduate course in statistical thermodynamics.
Energy And Entropy
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Author : Michael E. Starzak
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-09
Energy And Entropy written by Michael E. Starzak and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-09 with Science categories.
The study of thermodynamics is often limited to classical thermodynamics where minimal laws and concepts lead to a wealth of equations and applications. The resultant equations best describe systems at equilibrium with no temporal or s- tial parameters. The equations do, however, often provide accurate descriptions for systems close to equilibrium. . Statistical thermodynamics produces the same equilibrium information starting with the microscopic properties of the atoms or molecules in the system that correlates with the results from macroscopic classical thermodynamics. Because both these disciplines develop a wealth of information from a few starting postulates, e. g. , the laws of thermodyamics, they are often introduced as independent disciplines. However, the concepts and techniques dev- oped for these disciplines are extremely useful in many other disciplines. This book is intended to provide an introduction to these disciplines while revealing the connections between them. Chemical kinetics uses the statistics and probabilities developed for statistical thermodynamics to explain the evolution of a system to equilibrium. Irreversible thermodynamics, which is developed from the equations of classical thermodyn- ics, centers on distance-dependent forces, and time-dependent ?uxes. The force ?ux equations of irreversible thermodynamics lead are generated from the intensive and extensive variables of classical thermodynamics. These force ?ux equations lead, in turn, to transport equations such as Fick’s ?rst law of diffusion and the Nernst Planck equation for electrochemical transport. The book illustrates the concepts using some simple examples.