Time Reversability Computer Simulation Algorithms Chaos

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Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition)

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814452971
Total Pages : 426 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) by : William Graham Hoover

Download or read book Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) written by William Graham Hoover and published by World Scientific. This book was released on 2012-06-11 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Reversibility, Computer Simulation, Algorithms, Chaos

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814383163
Total Pages : 426 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Time Reversibility, Computer Simulation, Algorithms, Chaos by : William Graham Hoover

Download or read book Time Reversibility, Computer Simulation, Algorithms, Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Reversability, Computer Simulation, Algorithms, Chaos

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814383171
Total Pages : 426 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Time Reversability, Computer Simulation, Algorithms, Chaos by : William Graham Hoover

Download or read book Time Reversability, Computer Simulation, Algorithms, Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9789810240738
Total Pages : 284 pages
Book Rating : 4.2/5 (47 download)

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Book Synopsis Time Reversibility, Computer Simulation, and Chaos by : William Graham Hoover

Download or read book Time Reversibility, Computer Simulation, and Chaos written by William Graham Hoover and published by World Scientific. This book was released on 1999 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: With A Foreword By Julien Clinton Sprott

Author : William Graham Hoover
Publisher : World Scientific Publishing Company
ISBN 13 : 9814656844
Total Pages : 325 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott by : William Graham Hoover

Download or read book Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott written by William Graham Hoover and published by World Scientific Publishing Company. This book was released on 2015-02-02 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9813232544
Total Pages : 410 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures by : William Graham Hoover

Download or read book Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures written by William Graham Hoover and published by World Scientific. This book was released on 2018-03-13 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Time Reversibility, Computer Simulation, And Chaos

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814494283
Total Pages : 288 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Time Reversibility, Computer Simulation, And Chaos by : William Graham Hoover

Download or read book Time Reversibility, Computer Simulation, And Chaos written by William Graham Hoover and published by World Scientific. This book was released on 1999-11-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

American Journal of Physics

Author :
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Journal of Physics by :

Download or read book American Journal of Physics written by and published by . This book was released on 2002 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Statistical Mechanics

Author : W.G. Hoover
Publisher : Elsevier
ISBN 13 : 0444596593
Total Pages : 330 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Computational Statistical Mechanics by : W.G. Hoover

Download or read book Computational Statistical Mechanics written by W.G. Hoover and published by Elsevier. This book was released on 2012-12-02 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Smooth Particle Applied Mechanics: The State Of The Art

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814477184
Total Pages : 315 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Smooth Particle Applied Mechanics: The State Of The Art by : William Graham Hoover

Download or read book Smooth Particle Applied Mechanics: The State Of The Art written by William Graham Hoover and published by World Scientific. This book was released on 2006-11-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smooth Particle Applied Mechanics

Author : William Graham Hoover
Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Smooth Particle Applied Mechanics by : William Graham Hoover

Download or read book Smooth Particle Applied Mechanics written by William Graham Hoover and published by World Scientific Publishing Company. This book was released on 2006 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Stochastic Differential Equations

Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Applied Stochastic Differential Equations by : Simo Särkkä

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Chaos/nonlinear Dynamics

Author : Helena S. Wisniewski
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Chaos/nonlinear Dynamics by : Helena S. Wisniewski

Download or read book Chaos/nonlinear Dynamics written by Helena S. Wisniewski and published by . This book was released on 1994 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Calculus

Author : William Edmund Milne
Publisher : Princeton University Press
ISBN 13 : 1400875900
Total Pages : 404 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Numerical Calculus by : William Edmund Milne

Download or read book Numerical Calculus written by William Edmund Milne and published by Princeton University Press. This book was released on 2015-12-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of finite differences is here treated thoroughly and clearly by one of the leading American experts in the field of numerical analysis and computation. The theory is carefully developed and applied to illustrative examples, and each chapter is followed by a set of helpful exercises. The book is especially designed for the use of actuarial students, statisticians, applied mathematicians, and any scientists forced to seek numerical solutions. It presupposes only a knowledge of algebra, analytic geometry, trigonometry, and elementary calculus. The object is definitely practical, for while numerical calculus is based on the concepts of pure mathematics, it is recognized that the worker must produce a numerical result. Originally published in 1949. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature

Author : Valia Allori
Publisher : World Scientific
ISBN 13 : 9811211736
Total Pages : 698 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature by : Valia Allori

Download or read book Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature written by Valia Allori and published by World Scientific. This book was released on 2020-04-22 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book: