The Langevin and Generalised Langevin Approach to the Dynamics of Atomic, Polymeric and Colloidal Systems PDF Download
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Author: Ian Snook
Publisher: Elsevier
ISBN: 008046792X
Category : Science
Languages : en
Pages : 321
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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
Author: Ian Snook
Publisher: Elsevier
ISBN: 008046792X
Category : Science
Languages : en
Pages : 321
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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
Author: Michael D. Graham
Publisher: Cambridge University Press
ISBN: 1107024641
Category : Mathematics
Languages : en
Pages : 281
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Book Description
Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.
Author: Sau Fa Kwok
Publisher: World Scientific
ISBN: 9813228423
Category : Science
Languages : en
Pages : 208
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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.
Author: William Graham Hoover
Publisher: World Scientific
ISBN: 9814383171
Category : Mathematics
Languages : en
Pages : 426
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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.
Author: William Graham Hoover
Publisher: World Scientific
ISBN: 9814383163
Category : Mathematics
Languages : en
Pages : 426
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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.
Author: M. P. Allen
Publisher: Oxford University Press
ISBN: 0198803192
Category : Computers
Languages : en
Pages : 641
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Book Description
This is the second edition of a widely used practical guide to computer simulations of liquids. The technique uses a model for the way molecules interact, to predict how large numbers of them behave in liquid state. This essential introduction to this rapidly growing field is complete with illustrative computer code.
Author: Muhammad Musaddique Ali Rafique
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110747235
Category : Technology & Engineering
Languages : en
Pages : 206
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Book Description
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.
Author: Serge Kernbach
Publisher: CRC Press
ISBN: 9814364118
Category : Computers
Languages : en
Pages : 940
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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,
Author: Billy D. Todd
Publisher: Cambridge University Press
ISBN: 0521190096
Category : Science
Languages : en
Pages : 371
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Book Description
This coherent collection of theory, algorithms, and illustrative results presents the field of nonequilibrium molecular dynamics in detail.
Author: Remus T. Dame
Publisher: Springer Nature
ISBN: 1071639307
Category :
Languages : en
Pages : 654
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Book Description
