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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

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

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.

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.

Physics Briefs

Physics Briefs Book
Author : N.A
Publisher :
Release : 1994
ISBN :
Language : En, Es, Fr & De

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Book Description :

Science Citation Index

Science Citation Index Book
Author : N.A
Publisher :
Release : 1993
ISBN :
Language : En, Es, Fr & De

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Book Description :

Vols. for 1964- have guides and journal lists.