Time Reversability Computer Simulation Algorithms Chaos
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Time Reversibility Computer Simulation Algorithms Chaos 2nd Edition
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Author : William Graham Hoover
language : en
Publisher: World Scientific
Release Date : 2012-06-11
Time Reversibility Computer Simulation Algorithms Chaos 2nd Edition written by William Graham Hoover and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Science categories.
A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the “reversibility paradox”, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and “chaos theory” or “nonlinear dynamics” has supplied a useful vocabulary and a set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green, Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme.The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory — fractals and Lyapunov instability — are fundamental to the approach.Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all.This expanded edition stresses and illustrates computer algorithms with many new worked-out examples, and includes considerable new material on shockwaves, Lyapunov instability and fluctuations.
Time Reversability Computer Simulation Algorithms Chaos
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Author : William Graham Hoover
language : en
Publisher: World Scientific
Release Date : 2012
Time Reversability Computer Simulation Algorithms Chaos written by William Graham Hoover and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers.
Time Reversibility Computer Simulation And Chaos
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Author : William Graham Hoover
language : en
Publisher: World Scientific
Release Date : 1999
Time Reversibility Computer Simulation And Chaos written by William Graham Hoover and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the ?reversibility paradox?, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the author's approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and ?chaos theory? or ?nonlinear dynamics? has supplied a useful vocabulary and set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green and Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme.The book begins with a discussion contrasting the idealized reversibility of basic physics and the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory ? fractals and Lyapunov instability ? are fundamental to the approach.Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all.
Simulation And Control Of Chaotic Nonequilibrium Systems
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Author : William Graham Hoover
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-02-02
Simulation And Control Of Chaotic Nonequilibrium Systems written by William Graham Hoover and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-02 with Science categories.
This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences. Many computational examples are described so that they are well-suited to learning by doing. The contents enhance the current understanding of the reversibility paradox and are accessible to advanced undergraduates and researchers in physics, computation, and irreversible thermodynamics.
Microscopic And Macroscopic Simulation Techniques Kharagpur Lectures
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Author : Hoover William Graham
language : en
Publisher: World Scientific
Release Date : 2018-03-13
Microscopic And Macroscopic Simulation Techniques Kharagpur Lectures written by Hoover William Graham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-13 with Science categories.
This book aims to provide an example-based education in numerical methods for atomistic and continuum simulations of systems at and away from equilibrium. The focus is on nonequilibrium systems, stressing the use of tools from dynamical systems theory for their analysis. Lyapunov instability and fractal dimensionality are introduced and algorithms for their analysis are detailed. The book is intended to be self-contained and accessible to students who are comfortable with calculus and differential equations. The wide range of topics covered will provide students, researchers and academics with effective tools for formulating and solving interesting problems, both atomistic and continuum. The detailed description of the use of thermostats to control nonequilibrium systems will help readers in writing their own programs rather than being saddled with packaged software. Contents: Mechanics, Molecular Dynamics, and Gibbs' Statistical Mechanics Numerical Integration and Error Analysis Molecular Dynamics with Thermostats Simple Systems with Thermal Constraints Ergodicity and Its Importance in Small Systems Equilibrium Thermodynamics + Nonequilibrium Hydrodynamics Statistical Mechanics of Small Systems Microscopic Reversibility, Macroscopic Irreversibility Lyapunov Instability, Fractals, and Chaos I Lyapunov Instability, Fractals, and Chaos II Smooth-Particle Continuum Mechanics Epilogue Readership: Undergraduate, graduate students, researchers focusing on statistical mechanics and numerical simulation. Keywords: Numerical Methods;Simulation;Nonequilibrium;Molecular Dynamics;Continuum Mechanics;Statistical Mechanics;Chaos;Lyapunov Instability;Hydrodynamics;ThermodynamicsReview: Key Features: Three useful areas covered — treatment of control variables such as thermostats and ergostats, dynamical system analysis and the use of smooth particle techniques for analyzing molecular dynamics, and the solution of continuum problems
American Journal Of Physics
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Author :
language : en
Publisher:
Release Date : 2002
American Journal Of Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Physics categories.
Chaos And Time Reversal Symmetry Order And Chaos In Reversible Dynamical Systems
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Author : J. A. G. Roberts
language : en
Publisher:
Release Date : 1992
Chaos And Time Reversal Symmetry Order And Chaos In Reversible Dynamical Systems written by J. A. G. Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Chaotic behavior in systems categories.
Computational Statistical Mechanics
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Author : W.G. Hoover
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Computational Statistical Mechanics written by W.G. Hoover 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.
Computational Statistical Mechanics describes the use of fast computers to simulate the equilibrium and nonequilibrium properties of gases, liquids, and solids at, and away from equilibrium. The underlying theory is developed from basic principles and illustrated by applying it to the simplest possible examples. Thermodynamics, based on the ideal gas thermometer, is related to Gibb's statistical mechanics through the use of Nosé-Hoover heat reservoirs. These reservoirs use integral feedback to control temperature. The same approach is carried through to the simulation and analysis of nonequilibrium mass, momentum, and energy flows. Such a unified approach makes possible consistent mechanical definitions of temperature, stress, and heat flux which lead to a microscopic demonstration of the Second Law of Thermodynamics directly from mechanics. The intimate connection linking Lyapunov-unstable microscopic motions to macroscopic dissipative flows through multifractal phase-space structures is illustrated with many examples from the recent literature. The book is well-suited for undergraduate courses in advanced thermodynamics, statistical mechanic and transport theory, and graduate courses in physics and chemistry.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Smooth Particle Applied Mechanics
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Author : William Graham Hoover
language : en
Publisher: World Scientific Publishing Company
Release Date : 2006
Smooth Particle Applied Mechanics written by William Graham Hoover and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.