Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure
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Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure
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Author : Henry W. Haslach Jr.
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-15
Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure written by Henry W. Haslach Jr. 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 2011-01-15 with Science categories.
Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: • Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes • Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes • Emphasizes applications to the time-dependent modeling of soft biological tissue Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.
Differential Geometric Foundations Of Non Equilibrium Thermodynamics
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Author : Marcus Hildebrandt
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-02-27
Differential Geometric Foundations Of Non Equilibrium Thermodynamics written by Marcus Hildebrandt and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Science categories.
While all field theories are nowadays available in a modern, differential geometric, coordinate free formulation on manifolds this has been so far only rudimentary accomplished in general non-equilibrium thermodynamics. In this work it is shown how a fitting geometric structure can be derived for arbitrary compact (discrete Schottky Systems) thermodynamic systems, such as stars and black holes, using only a few thermodynamic principles. This leads to deep geometric insights. Some central results are the following: while in the theory of relativity the energy-momentum tensor determines the geometry of the space, in non-equilibrium thermodynamics, the 1-form of the entropy production rate is responsible for the emergence of a well-known geometric structure: the contact geometry. Relaxation processes remain in the fibers in which they start and end on an attractor manifold, that can be identified with the classical equilibrium subspace of thermostatics. One then proves, that outside this attractor manifold there are no reversible process directions. As a consequence of this, the 2nd Law of thermodynamics lives mainly on the fibers of the state manifold, the so called vertical geometric structure, while the 1st Law of thermodynamics is formulated on the horizontal components of the state manifold. The internal energy provides a physical gauge for each fiber. The 1st and 2nd Law of thermodynamics are coupled via the representation of the entropy flux 1-form that can be represented in the dual basis of exchange 1-forms such as the heat 1-form. This fact can be used to provide a "coordinate free" ("invariant") definition of non-equilibrium temperature. Finally, it is shown that probably the most general geometric structure to model non-equilibrium thermodynamics of compact (discrete Schottky systems) systems is given by a composite fibred cocontact phase manifold that includes time as an explicit dimension.
Non Equilibrium Thermodynamics And The Production Of Entropy
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Author : Axel Kleidon
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-18
Non Equilibrium Thermodynamics And The Production Of Entropy written by Axel Kleidon 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 2004-11-18 with Science categories.
The present volume studies the application of concepts from non-equilibrium thermodynamics to a variety of research topics. Emphasis is on the Maximum Entropy Production (MEP) principle and applications to Geosphere-Biosphere couplings. Written by leading researchers from a wide range of backgrounds, the book presents a first coherent account of an emerging field at the interface of thermodynamics, geophysics and life sciences.
Handbook Of Solid State Diffusion Volume 1
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Author : Aloke Paul
language : en
Publisher: Elsevier
Release Date : 2017-04-11
Handbook Of Solid State Diffusion Volume 1 written by Aloke Paul and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Science categories.
Handbook of Solid State Diffusion, Volume 1: Diffusion Fundamentals and Techniques covers the basic fundamentals, techniques, applications, and latest developments in the area of solid-state diffusion, offering a pedagogical understanding for students, academicians, and development engineers. Both experimental techniques and computational methods find equal importance in the first of this two-volume set. Volume 1 covers the fundamentals and techniques of solid-state diffusion, beginning with a comprehensive discussion of defects, then different analyzing methods, and finally concluding with an exploration of the different types of modeling techniques. - Presents a handbook with a short mathematical background and detailed examples of concrete applications of the sophisticated methods of analysis - Enables readers to learn the basic concepts of experimental approaches and the computational methods involved in solid-state diffusion - Covers bulk, thin film, and nanomaterials - Introduces the problems and analysis in important materials systems in various applications - Collates contributions from academic and industrial problems from leading scientists involved in developing key concepts across the globe
Damage Mechanics Theory Computation And Practice
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Author : Khemais Saanouni
language : en
Publisher: Trans Tech Publications Ltd
Release Date : 2015-08-18
Damage Mechanics Theory Computation And Practice written by Khemais Saanouni and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-18 with Technology & Engineering categories.
Selected, peer reviewed papers from the 2nd International Conference on Damage Mechanics (ICDM2), July 8-11, 2015, Troyes, France
Entropy Based Fatigue Fracture Failure Prediction And Structural Health Monitoring
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Author : Cemal Basaran
language : en
Publisher: MDPI
Release Date : 2021-01-13
Entropy Based Fatigue Fracture Failure Prediction And Structural Health Monitoring written by Cemal Basaran and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-13 with Technology & Engineering categories.
Traditionally fatigue, fracture, damage mechanics are predictions are based on empirical curve fitting models based on experimental data. However, when entropy is used as the metric for degradation of the material, the modeling process becomes physics based rather than empirical modeling. Because, entropy generation in a material can be calculated from the fundamental equation of thematerial. This collection of manuscripts is about using entropy for "Fatigue, Fracture, Failure Prediction and Structural Health Monitoring". The theoretical paper in the collection provides the mathematical and physics framework behind the unified mechanics theory, which unifies universal laws of motion of Newton and laws of thermodynamics at ab-initio level. Unified Mechanics introduces an additional axis called, Thermodynamic State Index axis which is linearly independent from Newtonian space x, y, z and time. As a result, derivative of displacement with respect to entropy is not zero, in unified mechanics theory, as in Newtonian mechanics. Any material is treated as a thermodynamic system and fundamental equation of the material is derived. Fundamental equation defines entropy generation rate in the system. Experimental papers in the collection prove validity of using entropy as a stable metric for Fatigue, Fracture, Failure Prediction and Structural Health Monitoring.
Friction Induced Vibrations And Self Organization
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Author : Michael Nosonovsky
language : en
Publisher: CRC Press
Release Date : 2013-08-09
Friction Induced Vibrations And Self Organization written by Michael Nosonovsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-09 with Science categories.
Many scientists and engineers do not realize that, under certain conditions, friction can lead to the formation of new structures at the interface, including in situ tribofilms and various patterns. In turn, these structures-usually formed by destabilization of the stationary sliding regime-can lead to the reduction of friction and wear. Friction-I
Nonequilibrium Thermodynamics
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Author : Yasar Demirel
language : en
Publisher: Elsevier
Release Date : 2018-11-24
Nonequilibrium Thermodynamics written by Yasar Demirel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-24 with Technology & Engineering categories.
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
Thermodynamic Approaches In Engineering Systems
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Author : Stanislaw Sieniutycz
language : en
Publisher: Elsevier
Release Date : 2016-05-20
Thermodynamic Approaches In Engineering Systems written by Stanislaw Sieniutycz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with Technology & Engineering categories.
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
Geometric Structures Of Phase Space In Multi Dimensional Chaos
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Author : Mikito Toda
language : en
Publisher: John Wiley & Sons
Release Date : 2004-12-20
Geometric Structures Of Phase Space In Multi Dimensional Chaos written by Mikito Toda and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-20 with Science categories.
This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. Volume 130 in the series continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.