# 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

Author | : Ian Snook |

Publsiher | : Elsevier |

Total Pages | : 320 |

Release | : 2006-12-11 |

ISBN | : 9780080467924 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

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

Author | : Billy D. Todd,Peter J. Daivis |

Publsiher | : Cambridge University Press |

Total Pages | : 352 |

Release | : 2017-03-16 |

ISBN | : 0521190096 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Nonequilibrium Molecular Dynamics Book Excerpt:**

Written by two specialists with over twenty-five years of experience in the field, this valuable text presents a wide range of topics within the growing field of nonequilibrium molecular dynamics (NEMD). It introduces theories which are fundamental to the field - namely, nonequilibrium statistical mechanics and nonequilibrium thermodynamics - and provides state-of-the-art algorithms and advice for designing reliable NEMD code, as well as examining applications for both atomic and molecular fluids. It discusses homogenous and inhomogenous flows and pays considerable attention to highly confined fluids, such as nanofluidics. In addition to statistical mechanics and thermodynamics, the book covers the themes of temperature and thermodynamic fluxes and their computation, the theory and algorithms for homogenous shear and elongational flows, response theory and its applications, heat and mass transport algorithms, applications in molecular rheology, highly confined fluids (nanofluidics), the phenomenon of slip and how to compute it from basic microscopic principles, and generalized hydrodynamics.

## Microhydrodynamics Brownian Motion and Complex Fluids

Author | : Michael D. Graham |

Publsiher | : Cambridge University Press |

Total Pages | : 280 |

Release | : 2018-09-13 |

ISBN | : 1107024641 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Microhydrodynamics Brownian Motion and Complex Fluids Book 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

Author | : Kwok Sau Fa |

Publsiher | : World Scientific |

Total Pages | : 208 |

Release | : 2018-03-06 |

ISBN | : 9813228423 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Langevin And Fokker planck Equations And Their Generalizations Descriptions And Solutions Book 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;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

## Time Reversability Computer Simulation Algorithms Chaos

Author | : William Graham Hoover |

Publsiher | : World Scientific |

Total Pages | : 401 |

Release | : 2012 |

ISBN | : 9814383171 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Time Reversability Computer Simulation Algorithms Chaos 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 Algorithms Chaos

Author | : William Graham Hoover,Carol Griswold Hoover |

Publsiher | : World Scientific |

Total Pages | : 401 |

Release | : 2012 |

ISBN | : 9814383163 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Time Reversibility Computer Simulation Algorithms Chaos 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.

## Bulk Metallic Glasses and Their Composites

Author | : Muhammad Musaddique Ali Rafique |

Publsiher | : Walter de Gruyter GmbH & Co KG |

Total Pages | : 203 |

Release | : 2021-09-20 |

ISBN | : 3110747235 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Bulk Metallic Glasses and Their Composites Book 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

Author | : Michael P. Allen,Dominic J. Tildesley |

Publsiher | : Oxford University Press |

Total Pages | : 640 |

Release | : 2017-05-25 |

ISBN | : 0198803192 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Computer Simulation of Liquids Book 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

Author | : Serge Kernbach |

Publsiher | : CRC Press |

Total Pages | : 962 |

Release | : 2013-05-29 |

ISBN | : 9814364118 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Handbook of Collective Robotics Book 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

Author | : David Landau,Kurt Binder |

Publsiher | : Cambridge University Press |

Total Pages | : 135 |

Release | : 2021-04-30 |

ISBN | : 1108809294 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**A Guide to Monte Carlo Simulations in Statistical Physics Book Excerpt:**

Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. The 5th edition contains extensive new material describing numerous powerful algorithms and methods that represent recent developments in the field. New topics such as active matter and machine learning are also introduced. Throughout, there are many applications, examples, recipes, case studies, and exercises to help the reader fully comprehend the material. This book is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.

## American Book Publishing Record

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2006 |

ISBN | : 1928374650XXX |

Category | : American literature |

Language | : EN, FR, DE, ES & NL |

**American Book Publishing Record Book Excerpt:**