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Multiscale Methods In Quantum Mechanics

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Multiscale Methods In Quantum Mechanics

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Author : Philippe Blanchard
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-15

Multiscale Methods In Quantum Mechanics written by Philippe Blanchard 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 2004-06-15 with Science categories.

This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics.

Multiscale Methods In Quantum Mechanics

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Author : P. Blanchard
language : en
Publisher:
Release Date : 2004

Multiscale Methods In Quantum Mechanics written by P. Blanchard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

Multiscale Methods In Quantum Mechanics

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Author : Philippe Blanchard
language : en
Publisher: Birkhäuser
Release Date : 2011-09-15

Multiscale Methods In Quantum Mechanics written by Philippe Blanchard and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Science categories.

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.

Multiscale Methods

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Author : Jacob Fish
language : en
Publisher: Oxford University Press
Release Date : 2010

Multiscale Methods written by Jacob Fish and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during thetransfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness?The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of errorestimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biologicalsystems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales.This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

Multiscale Methods

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Author : G A Pavliotis
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-19

Multiscale Methods written by G A Pavliotis 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 2008-02-19 with Mathematics categories.

This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

Hybrid Particle Continuum Methods In Computational Materials Physics

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Author : Martin H. Müser
language : en
Publisher: Forschungszentrum Jülich
Release Date : 2013

Hybrid Particle Continuum Methods In Computational Materials Physics written by Martin H. Müser and has been published by Forschungszentrum Jülich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Principles Of Multiscale Modeling

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Author : Weinan E
language : en
Publisher: Cambridge University Press
Release Date : 2011-07-07

Principles Of Multiscale Modeling written by Weinan E 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 2011-07-07 with Mathematics categories.

A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Continuum Mechanics And Thermodynamics

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Author : Ellad B. Tadmor
language : en
Publisher: Cambridge University Press
Release Date : 2012

Continuum Mechanics And Thermodynamics 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 2012 with Science categories.

Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Particle Methods For Multi Scale And Multi Physics

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Author : Moubin Liu
language : en
Publisher: World Scientific
Release Date : 2015-12-28

Particle Methods For Multi Scale And Multi Physics written by Moubin Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Mathematics categories.

Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH).This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences.

Multiscale Methods In Quantum Mechanics

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