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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

The Langevin and Generalised Langevin Approach to the Dynamics of Atomic  Polymeric and Colloidal Systems Book
Author : Ian Snook
Publisher : Elsevier
Release : 2006-12-11
ISBN : 9780080467924
Language : En, Es, Fr & De

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Book Description :

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

Nonequilibrium Molecular Dynamics Book
Author : Billy D. Todd,Peter J. Daivis
Publisher : Cambridge University Press
Release : 2017-03-16
ISBN : 0521190096
Language : En, Es, Fr & De

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Book Description :

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.

Langevin And Fokker planck Equations And Their Generalizations Descriptions And Solutions

Langevin And Fokker planck Equations And Their Generalizations  Descriptions And Solutions Book
Author : Kwok Sau Fa
Publisher : World Scientific
Release : 2018-03-06
ISBN : 9813228423
Language : En, Es, Fr & De

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Book Description :

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

Microhydrodynamics Brownian Motion and Complex Fluids

Microhydrodynamics  Brownian Motion  and Complex Fluids Book
Author : Michael D. Graham
Publisher : Cambridge University Press
Release : 2018-09-13
ISBN : 1107024641
Language : En, Es, Fr & De

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Book Description :

Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.

Time Reversability Computer Simulation Algorithms Chaos

Time Reversability  Computer Simulation  Algorithms  Chaos Book
Author : William Graham Hoover
Publisher : World Scientific
Release : 2012
ISBN : 9814383171
Language : En, Es, Fr & De

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Book Description :

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.

Handbook of Collective Robotics

Handbook of Collective Robotics Book
Author : Serge Kernbach
Publisher : CRC Press
Release : 2013-05-29
ISBN : 9814364118
Language : En, Es, Fr & De

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Book Description :

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.

Computer Simulation of Liquids

Computer Simulation of Liquids Book
Author : Michael P. Allen,Dominic J. Tildesley
Publisher : Oxford University Press
Release : 2017-05-25
ISBN : 0198803192
Language : En, Es, Fr & De

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Book Description :

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.

A Guide to Monte Carlo Simulations in Statistical Physics

A Guide to Monte Carlo Simulations in Statistical Physics Book
Author : David Landau,Kurt Binder
Publisher : Cambridge University Press
Release : 2021-07-29
ISBN : 110849014X
Language : En, Es, Fr & De

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Book Description :

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

Brownian Dynamics Simulation of Dusty Plasma

Brownian Dynamics Simulation of Dusty Plasma Book
Author : Nitin Upadhyaya
Publisher : Unknown
Release : 2010
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Brownian dynamics (BD) simulation method has been widely used for studying problems in dispersed systems, such as polymer solutions, colloidal suspensions and more recently, complex (dusty) plasmas. The main problem addressed with this simulation technique is that of time scale separation, which occurs when one form of motion in the system is much faster than the other. This can be a serious problem in Molecular dynamics (MD) simulation where very short time steps are needed to handle the fast motions and thus, requiring very long time runs for the proper evolution of slower modes making the simulation very expensive. More importantly, the fast motions may not be of much interest within themselves, as will be the case in a dusty plasma. The motion of neutral atoms or molecules comprising the plasma occurs at a very fast time scale with respect to the motion of dust particles, and is usually of very little interest, though a large number of such neutrals are present. In such cases, an approximate method is usually adopted, whereby the neutral particles are omitted from the simulation and their effect upon the dynamics of dust particles modeled by a combination of random forces and frictional terms. This leads to a recasting of the Newton's Equation of motion solved in MD, to a Langevin equation, solved in BD. Adopting this approach, we simulate a system of charged dust particles interacting via Yukawa potential in a 2-Dimensional layer, and extract relevant equilibrium statistical features such as the radial distribution function, static structure factor and the low frequency dust wave modes. We then propose the use of a Generalized Hydrodynamical (GH) approach to provide a semi-analytical model for the dust collective modes, which not only provides us with good predictions of the wave dispersion but also provides reasonable estimates for wave-number dependent wave damping, both of which will be compared against the results obtained from BD simulation. Finally, through our simulations, we also observe the equilibrium configuration of dust particles in the presence of cold ions streaming perpendicularly into the 2-Dimensional layer of dust particles. This provides us with novel results in the regime of sub-sonic ion flow speeds.

American Book Publishing Record

American Book Publishing Record Book
Author : Anonim
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download American Book Publishing Record book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The British National Bibliography

The British National Bibliography Book
Author : Arthur James Wells
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The British National Bibliography book written by Arthur James Wells, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Modern Techniques in Computational Chemistry MOTECC 91

Modern Techniques in Computational Chemistry  MOTECC 91 Book
Author : E. Clementi
Publisher : Springer Science & Business Media
Release : 1991-07-31
ISBN : 9789072199102
Language : En, Es, Fr & De

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Book Description :

Download Modern Techniques in Computational Chemistry MOTECC 91 book written by E. Clementi, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Advances in Chemical Physics

Advances in Chemical Physics Book
Author : Ilya Prigogine,Stuart Alan Rice
Publisher : Unknown
Release : 1958
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Advances in Chemical Physics book written by Ilya Prigogine,Stuart Alan Rice, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Physics Briefs

Physics Briefs Book
Author : Anonim
Publisher : Unknown
Release : 1994
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Download Physics Briefs book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards

Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards Book
Author : Anonim
Publisher : Unknown
Release : 2003
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Comprehensive Dissertation Index

Comprehensive Dissertation Index Book
Author : Anonim
Publisher : Unknown
Release : 1984
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.

Comprehensive Dissertation Index Chemistry P Z

Comprehensive Dissertation Index  Chemistry  P Z Book
Author : Anonim
Publisher : Unknown
Release : 1984
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Liquids

Liquids Book
Author : Anonim
Publisher : Unknown
Release : 1990-07
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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The Journal of Chemical Physics

The Journal of Chemical Physics Book
Author : Anonim
Publisher : Unknown
Release : 1983-06
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Chemical Abstracts

Chemical Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 2002
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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