Lectures On The Mechanical Foundations Of Thermodynamics
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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.
Lectures On The Mechanical Foundations Of Thermodynamics
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Author : Michele Campisi
language : en
Publisher:
Release Date : 2021
Lectures On The Mechanical Foundations Of Thermodynamics written by Michele Campisi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This brief 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 dimension (including differential forms), thermodynamics, 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.
Thermodynamics
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Author : Elias P. Gyftopoulos
language : en
Publisher: Courier Corporation
Release Date : 2012-07-12
Thermodynamics written by Elias P. Gyftopoulos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Science categories.
Designed by two MIT professors, this authoritative text discusses basic concepts and applications in detail, emphasizing generality, definitions, and logical consistency. More than 300 solved problems cover realistic energy systems and processes.
Rational Thermodynamics
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Author : C. Truesdell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Rational Thermodynamics written by C. Truesdell 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.
In the first edition of this book I tried to survey in brief compass the main ideas, methods, and discoveries of rational thermodynamics as it then stood, only five years after Messrs. COLEMAN & NOLL, while in Baltimore, had written the fundamental memoir that provided for the new science the one root theretofore wanting. A survey in the same style today would require an almost wholly new book, three or four times as long. As it was in 1968, again in 1983 a consecutive treatise restricted to the foundations would be premature, for at this moment they are under earnest discussion, probing analysis, and powerful attack by several students and from several directions. Because, although in the first edition I expressed some opinions I no longer hold and made some statements I should now recast or even re tract, it seems even yet to offer a simple introduction to some aspects of the field that remain current, I have chosen to reprint it unaltered except for emendation of slips and bettering of the English here and there.
The Non Linear Field Theories Of Mechanics
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Author : C. Truesdell
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Non Linear Field Theories Of Mechanics written by C. Truesdell 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 2013-03-09 with Science categories.
Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph’s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field.
The Fundamentals Of Thermodynamics
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Author : David A. Lavis
language : en
Publisher: Springer Nature
Release Date : 2025-06-24
The Fundamentals Of Thermodynamics written by David A. Lavis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-24 with Science categories.
The aim of this text is to provide an account of the fundamentals of thermodynamics which is accessible at graduate level to physicists, mathematicians and philosophers of physics. The bulk of the book (Chapters 2-9) is based on the algebraic approach of Lieb and Yngvason, but extended to encompass both positive and negative temperatures and systems in which entropy increases and decreases in adiabatic processes. We show that these four possibilities are already present in Carathéodory's version of the Second Law which arises as a theorem from the axioms. We develop generalized versions of the Kelvin-Planck and Clausius formulations valid for the same range of systems. The parallel development in Chapter 10 takes a geometric approach. We discuss the limitations associated with the local nature of Carathéodory's Principle and present the resolution of this problem due to Boyling. Part of the aim here is to substantiate the claim of Arnold that the mathematical structure of thermodynamics is contact geometry. The last two chapters of the book extend the scope of the discussion to, respectively, critical phenomena and non-equilibrium systems. Chapter 11 is a presentation of phase transitions and critical phenomena in which we discuss universality and use scaling theory to derive scaling laws. Chapter 12 contains a generalization to non-equilibrium. We present the extension of Lieb and Yngvason's work to non-equilibrium and also give a brief account of classical irreversible thermodynamics (CIT). The latter enables a possible understanding of the way that the lack of a unique entropy function in the Lieb and Yngvason non-equilibrium approach can be resolved. The book is completed by a set of appendices which provide mathematical and physical support to the work in the main text.
Collected Works
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Author : Niels Bohr
language : en
Publisher:
Release Date : 1985
Collected Works written by Niels Bohr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Physics categories.
Models Simulation And Experimental Issues In Structural Mechanics
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Author : Michel Frémond
language : en
Publisher: Springer
Release Date : 2017-01-21
Models Simulation And Experimental Issues In Structural Mechanics written by Michel Frémond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-21 with Science categories.
This book offers valuable insights and provides effective tools useful for imagining, creating, and promoting novel and challenging developments in structural mechanics. It addresses a wide range of topics, such as mechanics and geotechnics, vibration and damping, damage and friction, experimental methods, and advanced structural materials. It also discusses analytical, experimental and numerical findings, focusing on theoretical and practical issues and innovations in the field. Collecting some of the latest results from the Lagrange Laboratory, a European scientific research group, mainly consisting of Italian and French engineers, mechanicians and mathematicians, the book presents the most recent example of the long-term scientific cooperation between well-established French and Italian Mechanics, Mathematics and Engineering Schools. It is a valuable resource for postgraduate students, researchers and practitioners dealing with theoretical and practical issues in structural engineering.
Block By Block
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Author :
language : en
Publisher:
Release Date : 2020
Block By Block written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Science categories.
In this text, the study of thermodynamics is manipulated against the normal course of study. While students and academics will learn the concepts, formulas, and laws of thermodynamics, they will also begin to understand the historical circumstance behind it all.
The Principles Of Statistical Mechanics
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Author : Richard Chace Tolman
language : en
Publisher: Courier Corporation
Release Date : 1979-01-01
The Principles Of Statistical Mechanics written by Richard Chace Tolman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-01 with Science categories.
This is the definitive treatise on the fundamentals of statistical mechanics. A concise exposition of classical statistical mechanics is followed by a thorough elucidation of quantum statistical mechanics: postulates, theorems, statistical ensembles, changes in quantum mechanical systems with time, and more. The final two chapters discuss applications of statistical mechanics to thermodynamic behavior. 1930 edition.