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Multiscale Thermo Dynamics


Multiscale Thermo Dynamics
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Multiscale Thermo Dynamics


Multiscale Thermo Dynamics
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Author : Michal Pavelka
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-08-06

Multiscale Thermo Dynamics written by Michal Pavelka and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-06 with Science categories.


One common feature of new emerging technologies is the fusion of the very small (nano) scale and the large scale engineering. The classical environment provided by single scale theories, as for instance by the classical hydrodynamics, is not anymore satisfactory. The main challenge is to keep the important details while still be able to keep the overall picture and simplicity. It is the thermodynamics that addresses this challenge. Our main reason for writing this book is to explain such general viewpoint of thermodynamics and to illustrate it on a very wide range of examples. Contents Levels of description Hamiltonian mechanics Irreversible evolution Reversible and irreversible evolution Multicomponent systems Contact geometry Appendix: Mathematical aspects



Thermodynamics And Statistical Mechanics Of Small Systems


Thermodynamics And Statistical Mechanics Of Small Systems
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Author : Andrea Puglisi
language : en
Publisher: MDPI
Release Date : 2018-09-04

Thermodynamics And Statistical Mechanics Of Small Systems written by Andrea Puglisi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-04 with Mathematics categories.


This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy



Multiscale Modeling


Multiscale Modeling
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Author : Pedro Derosa
language : en
Publisher: CRC Press
Release Date : 2010-12-09

Multiscale Modeling written by Pedro Derosa and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-09 with Science categories.


While the relevant features and properties of nanosystems necessarily depend on nanoscopic details, their performance resides in the macroscopic world. To rationally develop and accurately predict performance of these systems we must tackle problems where multiple length and time scales are coupled. Rather than forcing a single modeling approach to



Entropy And Non Equilibrium Statistical Mechanics


Entropy And Non Equilibrium Statistical Mechanics
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Author : Antonio M. Scarfone
language : en
Publisher: MDPI
Release Date : 2020-12-15

Entropy And Non Equilibrium Statistical Mechanics written by Antonio M. Scarfone and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Technology & Engineering categories.


Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future. Even regarding the concept of entropy, there exists a longstanding problem concerning its definition for a system in a state far from equilibrium. In this Special Issue, we offered the possibility to discuss and present up-to-date problems that were not necessarily restricted to statistical mechanics. Theoretical and experimental papers are both presented, in addition to unifying research works. As the entropy itself is the central element of nonequilibrium processes, papers discuss various formulations of the second law and its consequences. In this Special Issue, recent progress in kinetic approaches to hydrodynamics, rational extended thermodynamics, entropy in a strongly nonequilibrium stationary state, and related topics are reported as both review articles as well as original research works.



Multiscale Biomechanics


Multiscale Biomechanics
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Author : Jean-Francois Ganghoffer
language : en
Publisher: Elsevier
Release Date : 2018-02-03

Multiscale Biomechanics written by Jean-Francois Ganghoffer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-03 with Science categories.


Multiscale Biomechanics provides new insights on multiscale static and dynamic behavior of both soft and hard biological tissues, including bone, the intervertebral disk, biological membranes and tendons. The physiological aspects of bones and biological membranes are introduced, along with micromechanical models used to compute mechanical response. A modern account of continuum mechanics of growth and remodeling, generalized continuum models to capture internal lengths scales, and dedicated homogenization methods are provided to help the reader with the necessary theoretical foundations. Topics discussed include multiscale methods for fibrous media based on discrete homogenization, generalized continua constitutive models for bone, and a presentation of recent theoretical and numerical advances. In addition, a refresher on continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods is given in separate chapters. Numerical aspects are treated in detail, and simulations are presented to illustrate models. This book is intended for graduate students and researchers in biomechanics interested in the latest research developments, as well as those who wish to gain insight into the field of biomechanics. - Provides a clear exposition of multiscale methods for fibrous media based on discrete homogenization and the consideration of generalized continua constitutive models for bone - Presents recent theoretical and numerical advances for bone remodeling and growth - Includes the necessary theoretical background that is exposed in a clear and self-contained manner - Covers continuum mechanics and more advanced background related to differential geometry, configurational mechanics, mechanics of growth, thermodynamics of open systems and homogenization methods



Non Equilibrium Thermodynamics And Physical Kinetics


Non Equilibrium Thermodynamics And Physical Kinetics
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Author : Halid Bikkin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-08-02

Non Equilibrium Thermodynamics And Physical Kinetics written by Halid Bikkin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-02 with Science categories.


This new edition covers contemporary directions of non-equilibrium statistical mechanics as well as classical methods of kinetics. Supplementary material on the non-equilibrium statistical operator (NSO) method for calculating kinetics coefficients describing spintronics is included in this new addition. This book is an easy-to-read text describing the fundamentals of the field.



Modeling Materials


Modeling Materials
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Author : Ellad B. Tadmor
language : en
Publisher: Cambridge University Press
Release Date : 2011-11-24

Modeling Materials written by Ellad B. Tadmor and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-24 with Science categories.


Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.



Advances In Chemical Engineering


Advances In Chemical Engineering
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Author :
language : en
Publisher: Academic Press
Release Date : 2010-10-07

Advances In Chemical Engineering written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-07 with Science categories.


An important challenge brought to chemical engineering by new emerging technologies, in particular then by nano and bio technologies, is to deal with complex systems that cannot be dealt with and cannot be fully understood on a single scale. This volume of Advances in Chemical Engineering provides a framework for thermodynamic and kinetic modeling of complex chemical systems. - Updates and informs the reader on the latest research findings using original reviews - Written by leading industry experts and scholars - Reviews and analyzes developments in the field



Non Fourier Heat Conduction


Non Fourier Heat Conduction
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Author : Alexander I. Zhmakin
language : en
Publisher: Springer Nature
Release Date : 2023-07-01

Non Fourier Heat Conduction written by Alexander I. Zhmakin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-01 with Science categories.


This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.