# 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 10 | : 9780080467924 |

ISBN 13 | : 008046792X |

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

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

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

Author | : Kwok Sau Fa |

Publsiher | : World Scientific |

Total Pages | : 208 |

Release | : 2018-03-06 |

ISBN 10 | : 9813228423 |

ISBN 13 | : 9789813228429 |

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

**Langevin And Fokker planck Equations And Their Generalizations Descriptions And Solutions Book Review:**

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

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

Publsiher | : Cambridge University Press |

Total Pages | : 352 |

Release | : 2017-03-16 |

ISBN 10 | : 0521190096 |

ISBN 13 | : 9780521190091 |

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

**Nonequilibrium Molecular Dynamics Book Review:**

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 10 | : 1107024641 |

ISBN 13 | : 9781107024649 |

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

**Microhydrodynamics Brownian Motion and Complex Fluids Book Review:**

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

## Time Reversability Computer Simulation Algorithms Chaos

Author | : William Graham Hoover |

Publsiher | : World Scientific |

Total Pages | : 401 |

Release | : 2012 |

ISBN 10 | : 9814383171 |

ISBN 13 | : 9789814383172 |

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

**Time Reversability Computer Simulation Algorithms Chaos Book Review:**

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.

## American Book Publishing Record

Author | : Anonim |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 2006 |

ISBN 10 | : |

ISBN 13 | : UOM:39015066180434 |

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

**American Book Publishing Record Book Review:**

## The British National Bibliography

Author | : Arthur James Wells |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 2006 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105215547287 |

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

**The British National Bibliography Book Review:**

## Molecular Hydrodynamics

Author | : Jean Pierre Boon,Sidney Yip |

Publsiher | : Courier Corporation |

Total Pages | : 417 |

Release | : 1991-01-01 |

ISBN 10 | : 9780486669496 |

ISBN 13 | : 0486669491 |

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

**Molecular Hydrodynamics Book Review:**

A graduate level introduction to the theory and applications of time correlation functions and the molecular theory of fluid dynamics. "Quite well organized . . . the literature coverage is impressive." — Physics Today. 110 illustrations.

## Introduction to Molecular Microsimulation for Colloidal Dispersions

Author | : A. Satoh |

Publsiher | : Elsevier |

Total Pages | : 364 |

Release | : 2003-06-20 |

ISBN 10 | : 9780080534947 |

ISBN 13 | : 0080534945 |

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

**Introduction to Molecular Microsimulation for Colloidal Dispersions Book Review:**

Introduction to Molecular-Microsimulation for Colloidal Dispersions provides an introduction to molecular-microsimulation methods for colloidal dispersions and is suitable for both self-study and reference. It provides the reader with a systematic understanding of the theoretical background to simulation methods, together with a wide range of practical skills for developing computational programs. Exercises are included at the end of each chapter to further assist the understanding of the subjects addressed. Provides the reader with the theoretical background to molecular-microsimulation methods Suitable for both self-study and reference Aids the reader in developing programs to meet their own requirements

## Molecular Dynamics Simulation of Nanocomposites using BIOVIA Materials Studio Lammps and Gromacs

Author | : Sumit Sharma |

Publsiher | : Elsevier |

Total Pages | : 365 |

Release | : 2019-08-09 |

ISBN 10 | : 0128169559 |

ISBN 13 | : 9780128169551 |

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

**Molecular Dynamics Simulation of Nanocomposites using BIOVIA Materials Studio Lammps and Gromacs Book Review:**

Molecular Dynamics Simulation of Nanocomposites using BIOVIA Materials Studio, Lammps and Gromacs presents the three major software packages used for the molecular dynamics simulation of nanocomposites. The book explains, in detail, how to use each of these packages, also providing real-world examples that show when each should be used. The latter two of these are open-source codes which can be used for modeling at no cost. Several case studies how each software package is used to predict various properties of nanocomposites, including metal-matrix, polymer-matrix and ceramic-matrix based nanocomposites. Properties explored include mechanical, thermal, optical and electrical properties. This is the first book that explores methodologies for using Materials Studio, Lammps and Gromacs in the same place. It will be beneficial for students, researchers and scientists working in the field of molecular dynamics simulation. Gives a detailed explanation of basic commands and modules of Materials Studio, Lammps and Gromacs Shows how Materials Studio, Lammps and Gromacs predict mechanical, thermal, electrical and optical properties of nanocomposites Uses case studies to show which software should be used to solve a variety of nanoscale modeling problems

## Foams and Emulsions

Author | : J.F. Sadoc,N. Rivier |

Publsiher | : Springer Science & Business Media |

Total Pages | : 596 |

Release | : 2013-03-09 |

ISBN 10 | : 9401591571 |

ISBN 13 | : 9789401591577 |

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

**Foams and Emulsions Book Review:**

A general and introductory survey of foams, emulsions and cellular materials. Foams and emulsions are illustrations of some fundamental concepts in statistical thermodynamics, rheology, elasticity and the physics and chemistry of divided media and interfaces. They also give rise to some of the most beautiful geometrical shapes and tilings, ordered or disordered. The chapters are grouped into sections having fairly loose boundaries. Each chapter is intelligible alone, but cross referencing means that the few concepts that may not be familiar to the reader can be found in other chapters in the book. Audience: Research students, researchers and teachers in physics, physical chemistry, materials science, mechanical engineering and geometry.

## Meshfree Methods for Partial Differential Equations VI

Author | : Michael Griebel,Marc Alexander Schweitzer |

Publsiher | : Springer Science & Business Media |

Total Pages | : 244 |

Release | : 2012-12-16 |

ISBN 10 | : 3642329799 |

ISBN 13 | : 9783642329791 |

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

**Meshfree Methods for Partial Differential Equations VI Book Review:**

Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.

## An Introduction to Dynamics of Colloids

Author | : J.K.G. Dhont |

Publsiher | : Elsevier |

Total Pages | : 660 |

Release | : 1996-05-20 |

ISBN 10 | : 9780080535074 |

ISBN 13 | : 0080535070 |

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

**An Introduction to Dynamics of Colloids Book Review:**

One of the few textbooks in the field, this volume deals with several aspects of the dynamics of colloids. A self-contained treatise, it fills the gap between research literature and existing books for graduate students and researchers. For readers with a background in chemistry, the first chapter contains a section on frequently used mathematical techniques, as well as statistical mechanics. Some of the topics covered include: • diffusion of free particles on the basis of the Langevin equation •the separation of time, length and angular scales; • the fundamental Fokker-Planck and Smoluchowski equations derived for interacting particles • friction of spheres and rods, and hydrodynamic interaction of spheres (including three body interactions) • diffusion, sedimentation, critical phenomena and phase separation kinetics • experimental light scattering results. For universities and research departments in industry this textbook makes vital reading.

## Dynamics of the Liquid State

Author | : Umberto Balucani,Marco Zoppi |

Publsiher | : Clarendon Press |

Total Pages | : 352 |

Release | : 1995-01-05 |

ISBN 10 | : 0191591211 |

ISBN 13 | : 9780191591211 |

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

**Dynamics of the Liquid State Book Review:**

The purpose fo this book is to present a comprehensive account of the physical concepts and theoretical approaches developed for the study of the dynamical properties of liquids (or more generally, of high-density fluids) at a microscopic level. After a discussion of the basic dynamical phenomena to be interupted, as well as of the various experimental probes, the book gradually exposes the reader to the sophisticated theoretical techniques needed for a satisfactory account of both single particle and coleective motions. The complications are faced in a stepwise fashion, with special attention to the physical content of the results. As a result of the progress achieved in the last decade, in the end a satisfactory understanding of most of the phenomena characterizing this fascinating field emerges.

## Stochastic Processes in Physics and Chemistry

Author | : N.G. Van Kampen |

Publsiher | : Elsevier |

Total Pages | : 480 |

Release | : 1992-11-20 |

ISBN 10 | : 0080571387 |

ISBN 13 | : 9780080571386 |

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

**Stochastic Processes in Physics and Chemistry Book Review:**

This new edition of Van Kampen's standard work has been completely revised and updated. Three major changes have also been made. The Langevin equation receives more attention in a separate chapter in which non-Gaussian and colored noise are introduced. Another additional chapter contains old and new material on first-passage times and related subjects which lay the foundation for the chapter on unstable systems. Finally a completely new chapter has been written on the quantum mechanical foundations of noise. The references have also been expanded and updated.

## Statistical Mechanics of Nonequilibrium Liquids

Author | : Denis J. Evans,Gary P. Morriss |

Publsiher | : Elsevier |

Total Pages | : 316 |

Release | : 2013-10-22 |

ISBN 10 | : 1483260453 |

ISBN 13 | : 9781483260457 |

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

**Statistical Mechanics of Nonequilibrium Liquids Book Review:**

Statistical Mechanics of Nonequilibrium Liquids deals with theoretical rheology. The book discusses nonlinear response of systems and outlines the statistical mechanical theory. In discussing the framework of nonequilibrium statistical mechanics, the book explains the derivation of a nonequilibrium analogue of the Gibbsian basis for equilibrium statistical mechanics. The book reviews the linear irreversible thermodynamics, the Liouville equation, and the Irving-Kirkwood procedure. The text then explains the Green-Kubo relations used in linear transport coefficients, the linear response theory, the isothermal linear response theory, as well as the equivalence of thermostatted linear responses. The book also describes how thermostatted linear mechanical response of many-body systems can be related to equilibrium fluctuations. The text explains the procedure for calculating the linear Navier-Stokes transport coefficients through computer simulation algorithms. The book also discusses the van Kampen objection to linear response theory, the steady-state fluctuations, and the thermodynamics of steady states. The text will prove valuable for researchers in molecular chemistry, scientists, and academicians involved in advanced physics.

## Polymer Translocation

Author | : M. Muthukumar |

Publsiher | : CRC Press |

Total Pages | : 372 |

Release | : 2016-04-19 |

ISBN 10 | : 1420075179 |

ISBN 13 | : 9781420075175 |

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

**Polymer Translocation Book Review:**

Polymer translocation occurs in many biological and biotechnological phenomena where electrically charged polymer molecules move through narrow spaces in crowded environments. Unraveling the rich phenomenology of polymer translocation requires a grasp of modern concepts of polymer physics and polyelectrolyte behavior. Polymer Translocation discusses universal features of polymer translocations and summarizes the key concepts of polyelectrolyte structures, electrolyte solutions, ionic flow, mobility of charged macromolecules, polymer capture by pores, and threading of macromolecules through pores. With approximately 150 illustrations and 850 equations, the book: Avoids heavy mathematics Uses examples to illustrate the richness of the phenomenon Introduces the entropic barrier idea behind polymer translocation Outlines conceptual components necessary for a molecular understanding of polymer translocation Provides mathematical formulas for the various quantities pertinent to polymer translocation The challenge in understanding the complex behavior of translocation of polyelectrolyte molecules arises from three long-range forces due to chain connectivity, electrostatic interactions, and hydrodynamic interactions. Polymer Translocation provides an overview of fundamentals, established experimental facts, and important concepts necessary to understand polymer translocation. Readers will gain detailed strategies for applying these concepts and formulas to the design of new experiments.

## Hierarchical Methods for Dynamics in Complex Molecular Systems

Author | : Johannes Grotendorst |

Publsiher | : Forschungszentrum Jülich |

Total Pages | : 540 |

Release | : 2012 |

ISBN 10 | : 3893367683 |

ISBN 13 | : 9783893367689 |

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

**Hierarchical Methods for Dynamics in Complex Molecular Systems Book Review:**

## Computational Approaches for Chemistry Under Extreme Conditions

Author | : Nir Goldman |

Publsiher | : Springer |

Total Pages | : 293 |

Release | : 2019-02-18 |

ISBN 10 | : 3030056007 |

ISBN 13 | : 9783030056001 |

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

**Computational Approaches for Chemistry Under Extreme Conditions Book Review:**

This book presents recently developed computational approaches for the study of reactive materials under extreme physical and thermodynamic conditions. It delves into cutting edge developments in simulation methods for reactive materials, including quantum calculations spanning nanometer length scales and picosecond timescales, to reactive force fields, coarse-grained approaches, and machine learning methods spanning microns and nanoseconds and beyond. These methods are discussed in the context of a broad range of fields, including prebiotic chemistry in impacting comets, studies of planetary interiors, high pressure synthesis of new compounds, and detonations of energetic materials. The book presents a pedagogical approach for these state-of-the-art approaches, compiled into a single source for the first time. Ultimately, the volume aims to make valuable research tools accessible to experimentalists and theoreticians alike for any number of scientific efforts, spanning many different types of compounds and reactive conditions.

## Computer Simulation of Polymeric Materials

Author | : Japan Association for Chemical Innovation |

Publsiher | : Springer |

Total Pages | : 400 |

Release | : 2016-07-30 |

ISBN 10 | : 9811008159 |

ISBN 13 | : 9789811008153 |

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

**Computer Simulation of Polymeric Materials Book Review:**

This book is the first to introduce a mesoscale polymer simulation system called OCTA. With its name derived from "Open Computational Tool for Advanced material technology," OCTA is a unique software product, available without charge, that was developed in a project funded by Japanese government. OCTA contains a series of simulation programs focused on mesoscale simulation of the soft matter COGNAC, SUSHI, PASTA, NAPLES, MUFFIN, and KAPSEL. When mesoscale polymer simulation is performed, one may encounter many difficulties that this book will help to overcome. The book not only introduces the theoretical background and functions of each simulation engine, it also provides many examples of the practical applications of the OCTA system. Those examples include predicting mechanical properties of plastic and rubber, morphology formation of polymer blends and composites, the micelle structure of surfactants, and optical properties of polymer films. This volume is strongly recommended as a valuable resource for both academic and industrial researchers who work in polymer simulation.