The Langevin and Generalised Langevin Approach to the Dynamics of Atomic  Polymeric and Colloidal Systems Book

The Langevin and Generalised Langevin Approach to the Dynamics of Atomic Polymeric and Colloidal Systems


  • Author : Ian Snook
  • Publisher : Elsevier
  • Release Date : 2006-12-11
  • Genre: Science
  • Pages : 320
  • ISBN 10 : 008046792X

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The Langevin and Generalised Langevin Approach to the Dynamics of Atomic Polymeric and Colloidal Systems Excerpt :

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 Book

Nonequilibrium Molecular Dynamics


  • Author : Billy D. Todd
  • Publisher : Cambridge University Press
  • Release Date : 2017-03-10
  • Genre: Science
  • Pages : 371
  • ISBN 10 : 9780521190091

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Nonequilibrium Molecular Dynamics Excerpt :

This coherent collection of theory, algorithms, and illustrative results presents the field of nonequilibrium molecular dynamics in detail.

Microhydrodynamics  Brownian Motion  and Complex Fluids Book

Microhydrodynamics Brownian Motion and Complex Fluids


  • Author : Michael D. Graham
  • Publisher : Cambridge University Press
  • Release Date : 2018-09-13
  • Genre: Mathematics
  • Pages : 280
  • ISBN 10 : 9781107024649

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Microhydrodynamics Brownian Motion and Complex Fluids Excerpt :

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 Book

Langevin And Fokker planck Equations And Their Generalizations Descriptions And Solutions


  • Author : Kwok Sau Fa
  • Publisher : World Scientific
  • Release Date : 2018-03-06
  • Genre: Science
  • Pages : 208
  • ISBN 10 : 9789813228429

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Langevin And Fokker planck Equations And Their Generalizations Descriptions And Solutions Excerpt :

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;Wrigh

Time Reversability  Computer Simulation  Algorithms  Chaos Book

Time Reversability Computer Simulation Algorithms Chaos


  • Author : William Graham Hoover
  • Publisher : World Scientific
  • Release Date : 2012
  • Genre: Mathematics
  • Pages : 401
  • ISBN 10 : 9789814383172

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Time Reversability Computer Simulation Algorithms Chaos 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  Algorithms  Chaos Book

Time Reversibility Computer Simulation Algorithms Chaos


  • Author : William Graham Hoover
  • Publisher : World Scientific
  • Release Date : 2012
  • Genre: Mathematics
  • Pages : 401
  • ISBN 10 : 9789814383165

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Time Reversibility Computer Simulation Algorithms Chaos 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.

Bulk Metallic Glasses and Their Composites Book

Bulk Metallic Glasses and Their Composites


  • Author : Muhammad Musaddique Ali Rafique
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2021-09-20
  • Genre: Technology & Engineering
  • Pages : 203
  • ISBN 10 : 9783110747232

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Bulk Metallic Glasses and Their Composites Excerpt :

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.

Computer Simulation of Liquids Book

Computer Simulation of Liquids


  • Author : Michael P. Allen
  • Publisher : Oxford University Press
  • Release Date : 2017-05-25
  • Genre: Computers
  • Pages : 640
  • ISBN 10 : 9780198803195

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Computer Simulation of Liquids Excerpt :

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.

Handbook of Collective Robotics Book

Handbook of Collective Robotics


  • Author : Serge Kernbach
  • Publisher : CRC Press
  • Release Date : 2013-05-29
  • Genre: Computers
  • Pages : 962
  • ISBN 10 : 9789814364119

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Handbook of Collective Robotics Excerpt :

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, reliability, scalability, energy foraging, adaptivity, and artificial sociality. The book has been prepared by 52 authors from world-leading research groups in 14 countries. This book covers not only current but also future key technologies and is aimed at anyone who is interested in learning more about collective robotics and how it might affect our society.

A Guide to Monte Carlo Simulations in Statistical Physics Book

A Guide to Monte Carlo Simulations in Statistical Physics


  • Author : David Landau
  • Publisher : Cambridge University Press
  • Release Date : 2021-07-29
  • Genre: Mathematics
  • Pages : 578
  • ISBN 10 : 9781108490146

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A Guide to Monte Carlo Simulations in Statistical Physics Excerpt :

Unique coverage of Monte Carlo methods for both continuum and lattice systems, explaining particularly analysis of phase transitions.

The Equilibrium Theory of Inhomogeneous Polymers Book

The Equilibrium Theory of Inhomogeneous Polymers


  • Author : Glenn Fredrickson
  • Publisher : Oxford University Press on Demand
  • Release Date : 2006
  • Genre: Science
  • Pages : 437
  • ISBN 10 : 9780198567295

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The Equilibrium Theory of Inhomogeneous Polymers Excerpt :

This book provides a pedagogical introduction to the theoretical and computer simulation techniques that are useful in the design of polymer formulations including personal care products, multiphase plastic materials, processed foods, and colloidal and nanoparticle dispersions. The book serves to unify previous work in a common language and provides a balanced treatment of analytical theory and numerical techniques, including an introduction to the exciting new field offield-theoretic polymer simulations - the direct numerical simulation of field theory models of meso-structured polymer melts, solutions, and dispersions.

The Langevin Equation Book

The Langevin Equation


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2022-09-30
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 9789814485395

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The Langevin Equation Excerpt :

Non Equilibrium Statistical Mechanics Book

Non Equilibrium Statistical Mechanics


  • Author : Ilya Prigogine
  • Publisher : Courier Dover Publications
  • Release Date : 2017-03-17
  • Genre: Science
  • Pages : 336
  • ISBN 10 : 9780486815558

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Non Equilibrium Statistical Mechanics Excerpt :

Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.

The Theory of Polymer Dynamics Book
Score: 5
From 2 Ratings

The Theory of Polymer Dynamics


  • Author : Masao Doi
  • Publisher : Oxford University Press
  • Release Date : 1988
  • Genre: Foreign Language Study
  • Pages : 391
  • ISBN 10 : 0198520336

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The Theory of Polymer Dynamics Excerpt :

Over the past twenty years our understanding of polymer solutions has undergone a dramatic evolution. New methods and concepts have extended the frontier of the theory from dilute solutions in which polymers move independently of each other, to concentrated solutions where many polymersentangle with each other. This book provides a comprehensive account of the modern theory for the dynamical properties of polymer solutions. This includes viscoelasticity, diffusion, dynamic light scattering and flow and electric birefringence. Nonlinear viscoelasticity is discussed in detail on thebasis of molecular dynamical models. The book fills a gap between classical theory and modern developments and constructs a consistent picture for the dynamics of polymer solutions over the entire concentration range.