The Langevin And Generalised Langevin Approach To The Dynamics Of Atomic Polymeric And Colloidal Systems
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The Langevin And Generalised Langevin Approach To The Dynamics Of Atomic Polymeric And Colloidal Systems
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Author : Ian Snook
language : en
Publisher: Elsevier
Release Date : 2006-12-11
The Langevin And Generalised Langevin Approach To The Dynamics Of Atomic Polymeric And Colloidal Systems written by Ian Snook and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-11 with Science categories.
The Langevin and Generalised Langevin Approach To The Dynamics Of Atomic, Polymeric And Colloidal Systems is concerned with the description of aspects of the theory and use of so-called random processes to describe the properties of atomic, polymeric and colloidal systems in terms of the dynamics of the particles in the system. It provides derivations of the basic equations, the development of numerical schemes to solve them on computers and gives illustrations of application to typical systems.Extensive appendices are given to enable the reader to carry out computations to illustrate many of the points made in the main body of the book. * Starts from fundamental equations* Gives up-to-date illustration of the application of these techniques to typical systems of interest* Contains extensive appendices including derivations, equations to be used in practice and elementary computer codes
Nonequilibrium Molecular Dynamics
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Author : Billy D. Todd
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-10
Nonequilibrium Molecular Dynamics written by Billy D. Todd 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 2017-03-10 with Science categories.
This coherent collection of theory, algorithms, and illustrative results presents the field of nonequilibrium molecular dynamics in detail.
Structure And Dynamics Of Polymer And Colloidal Systems
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Author : Redouane Borsali
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Structure And Dynamics Of Polymer And Colloidal Systems written by Redouane Borsali 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 2012-12-06 with Science categories.
This volume is based on lectures given at the NATO-Advanced Study Institute on Structure and Dynamics of Polymer and Colloid Systems held in Les Houches, France from September 14-24, 1999. The meeting arose from a perceived need to bring together scientists studying the polymer and colloid fields. Although these fields are intertwined and share many techniques (e. g. , light, neutron and x-ray scattering), it is remarkable how little the approaches and concepts used by the one field penetrate the other. For instance, the theory of spherical colloids is very highly developed and many of the concepts developed for these systems can be extended to those with non-spherical morphology, such as solutions of rigid rod polymers. In addition, mixtures of polymers and colloids, both in the bulk and at interfaces, are the basis for many industrial products. Methods are now rapidly being developed for understanding the structure and dynamics in polymer/colloid mixtures at the molecular level, but the point of view of the colloid scientist is often rather different from that of the polymer scientist. The NATO-ASI brought together polymer and colloid scientists, including many young researchers, who presented and discussed recent developments in these fields and the possibilities for cross-fertilization This volume contains articles on a wide variety of topics at the research forefront of the polymer and colloid fields by some of the world's foremost experts at a level accessible to graduate students, post-docs and researchers.
Microhydrodynamics Brownian Motion And Complex Fluids
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Author : Michael D. Graham
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-13
Microhydrodynamics Brownian Motion And Complex Fluids written by Michael D. Graham 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 2018-09-13 with Mathematics categories.
Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.
Langevin And Fokker Planck Equations And Their Generalizations Descriptions And Solutions
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Author : Kwok Sau Fa
language : en
Publisher: World Scientific
Release Date : 2018-03-06
Langevin And Fokker Planck Equations And Their Generalizations Descriptions And Solutions written by Kwok Sau Fa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-06 with Science categories.
This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and Fokker–Planck equations (H. Risken, The Fokker–Planck Equation: Methods of Solution and Applications (Springer, 1996)). Some topics and methods of solutions are presented and discussed in details which are not described in Risken's book, such as the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed. Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details. Recent research on the integro-differential Fokker–Planck equation derived from the continuous time random walk model shows that the topic has several aspects to be explored. This equation is worked analytically for the linear force and the generic waiting time probability distribution function. Moreover, generalized Klein-Kramers equations are also presented and discussed. They have the potential to be applied to natural systems, such as biological systems. Contents: Introduction Langevin and Fokker–Planck Equations Fokker–Planck Equation for One Variable and its Solution Fokker–Planck Equation for Several Variables Generalized Langevin Equations Continuous Time Random Walk Model Uncoupled Continuous Time Random Walk Model andits Solution Readership: Advanced undergraduate and graduate students in mathematical physics and statistical physics; biologists and chemists who are interested in nonequilibrium statistical physics. Keywords: Langevin Equation;Fokker-Planck Equation;Klein-Kramers Equation;Continuous Time Random Walk Model;Colored Noise;Tsallis Entropy;Population Growth Models;Wright Functions;Mittag-Leffler Function;Method of Similarity Solution;First Passage Time;Relativistic Brownian Motion;Fractional Derivatives;Integro-Differential Fokker-Planck EquationsReview: Key Features: This book complements Risken's book on the Langevin and Fokker-Planck equations. Some topics and methods of solutions are presented and discussed in details which are not described in Risken's book Several generalized Langevin equations are presented and discussed with some detail Integro-differential Fokker–Planck equation is derived from the uncoupled continuous time random walk model for generic waiting time probability distribution function which can be used to distinguish the differences for the initial and intermediate times with the same behavior in the long-time limit. Moreover, generalized Klein–Kramers equations are also described and discussed. To our knowledge these approaches are not found in other textbooks
Bulk Metallic Glasses And Their Composites
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Author : Muhammad Musaddique Ali Rafique
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-09-20
Bulk Metallic Glasses And Their Composites written by Muhammad Musaddique Ali Rafique 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 2021-09-20 with Technology & Engineering categories.
The book provides a comprehensive state-of-the-art review on the topic of bulk metallic glass matrix composites and understanding of mechanisms of development of composite microstructure. It discusses mechanisms of formation and toughening both during conventional casting routes and additive manufacturing. The second edition encompasses new studies and highlights advancement in mechanical properties, characterization, processing and applications.
Handbook Of Collective Robotics
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Author : Serge Kernbach
language : en
Publisher: CRC Press
Release Date : 2013-05-29
Handbook Of Collective Robotics written by Serge Kernbach and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-29 with Computers categories.
This book is devoted to mechatronic, chemical, bacteriological, biological, and hybrid systems, utilizing cooperative, networked, swarm, self-organizing, evolutionary and bio-inspired design principles and targeting underwater, ground, air, and space applications. It addresses issues such as open-ended evolution, self-replication, self-development,
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.
Computer Simulation Of Liquids
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Author : Michael P. Allen
language : en
Publisher: Oxford University Press
Release Date : 2017-08-15
Computer Simulation Of Liquids written by Michael P. Allen 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 2017-08-15 with Science categories.
This book provides a practical guide to molecular dynamics and Monte Carlo simulation techniques used in the modelling of simple and complex liquids. Computer simulation is an essential tool in studying the chemistry and physics of condensed matter, complementing and reinforcing both experiment and theory. Simulations provide detailed information about structure and dynamics, essential to understand the many fluid systems that play a key role in our daily lives: polymers, gels, colloidal suspensions, liquid crystals, biological membranes, and glasses. The second edition of this pioneering book aims to explain how simulation programs work, how to use them, and how to interpret the results, with examples of the latest research in this rapidly evolving field. Accompanying programs in Fortran and Python provide practical, hands-on, illustrations of the ideas in the text.