Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) write by William Graham Hoover. This book was released on 2012-06-11. Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition) available in PDF, EPUB and Kindle. 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, and Chaos
Time Reversibility, Computer Simulation, and Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time Reversibility, Computer Simulation, and Chaos write by William Graham Hoover. This book was released on 1999. Time Reversibility, Computer Simulation, and Chaos available in PDF, EPUB and Kindle. 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.
Time Reversability, Computer Simulation, Algorithms, Chaos
Time Reversability, Computer Simulation, Algorithms, Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time Reversability, Computer Simulation, Algorithms, Chaos write by William Graham Hoover. This book was released on 2012. Time Reversability, Computer Simulation, Algorithms, Chaos available in PDF, EPUB and Kindle. 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.
Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott
Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott write by William Graham Hoover. This book was released on 2015-02-02. Simulation And Control Of Chaotic Nonequilibrium Systems: With A Foreword By Julien Clinton Sprott available in PDF, EPUB and Kindle. 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
Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures write by William Graham Hoover. This book was released on 2018-03-13. Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures available in PDF, EPUB and Kindle. 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.
