Self Consistent Integral Equation Theory For Polyolefins
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Self Consistent Integral Equation Theory For Polyolefins
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Author :
language : en
Publisher:
Release Date : 2000
Self Consistent Integral Equation Theory For Polyolefins written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Thermodynamically Self Consistent Integral Equation Theory
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Author : R. C. Singh
language : en
Publisher:
Release Date : 2012
Thermodynamically Self Consistent Integral Equation Theory written by R. C. Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Theory And Modeling Of Polymer Nanocomposites
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Author : Valeriy V. Ginzburg
language : en
Publisher: Springer Nature
Release Date : 2020-12-16
Theory And Modeling Of Polymer Nanocomposites written by Valeriy V. Ginzburg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Technology & Engineering categories.
This edited volume brings together the state of the art in polymer nanocomposite theory and modeling, creating a roadmap for scientists and engineers seeking to design new advanced materials. The book opens with a review of molecular and mesoscale models predicting equilibrium and non-equilibrium nanoscale structure of hybrid materials as a function of composition and, especially, filler types. Subsequent chapters cover the methods and analyses used for describing the dynamics of nanocomposites and their mechanical and physical properties. Dedicated chapters present best practices for predicting materials properties of practical interest, including thermal and electrical conductivity, optical properties, barrier properties, and flammability. Each chapter is written by leading academic and industrial scientists working in each respective sub-field. The overview of modeling methodology combined with detailed examples of property predictions for specific systems will make this book useful for academic and industrial practitioners alike.
Development Of Hybrid Simulation And Integral Equation Theory With Application To Polyolefins
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Author : Huimin Li
language : en
Publisher:
Release Date : 2007
Development Of Hybrid Simulation And Integral Equation Theory With Application To Polyolefins written by Huimin Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Molecular dynamics categories.
Integral Equations A Practical Treatment From Spectral Theory To Applications
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Author : David Porter
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-28
Integral Equations A Practical Treatment From Spectral Theory To Applications written by David Porter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-28 with Mathematics categories.
This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics.
Lectures On The Theory Of Integral Equations
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Author : I. G. Petrovskii
language : en
Publisher: Courier Corporation
Release Date : 1996-09-01
Lectures On The Theory Of Integral Equations written by I. G. Petrovskii and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-01 with Mathematics categories.
Simple, clear exposition of the Fredholm theory for integral equations of the second kind of Fredholm type. A brief treatment of the Volterra equation is also included. An outstanding feature is a table comparing finite dimensional spaces to function spaces. ". . . An excellent presentation."—Am. Math. Monthly. Translated from second revised (1951) Russian edition. Bibliography.
Application Of Integral Equation Theory To Polyolefin Liquids And Blends
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Author :
language : en
Publisher:
Release Date : 1997
Application Of Integral Equation Theory To Polyolefin Liquids And Blends written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
The ability to model the packing of polymers in melts and blends is important in many polymer applications. One significant application is the development of new polymer blends. It would be exceedingly helpful to the materials chemist if molecular modeling could be employed to predict the thermodynamics and phase behavior of hypothetical polymer alloys before embarking on a time consuming and expensive synthesis program. The well known Flory-Huggins theory has been remarkably successful in describing many aspects of polymer mixing from a qualitative point of view. This theory is known, however, to suffer from several deficiencies which can be traceable to the fact that: (1) it is a lattice model requiring both monomer components to have the same volume; and (2) a mean field or random mixing approximation is made which effectively ignores chain connectivity. Because of these limitations the Flory-Huggins theory does not include packing effects and cannot be used to make quantitative molecular engineering calculations. Recently Curro and Schweizer developed a new approach for treating polymer liquids and mixtures which the authors call PRISM theory. This is an extension to polymers of the Reference Interaction Site Model (RISM Theory) developed by Chandler and Andersen to describe the statistical mechanics of small molecule liquids. The PRISM theory is a continuous space description of a polymer liquid, which includes chain connectivity and nonrandom mixing effects in a computationally tractable manner. The primary output from PRISM calculations is the average structure or packing of the amorphous liquid given by the radial distribution function denoted as g(r). This radial distribution function is employed to deduce thermodynamic or structural properties of interest. Here, the authors describe the theoretical approach and demonstrate its application to polyethylene, isotactic polypropylene, syndiotactic polypropylene, and polyisobutylene liquids and blends.
The Classical Theory Of Integral Equations
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Author : Stephen M. Zemyan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-10
The Classical Theory Of Integral Equations written by Stephen M. Zemyan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-10 with Mathematics categories.
The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field. With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; Thorough discussions of the analytical methods used to solve many types of integral equations; An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; Over 80 illustrative examples that are explained in meticulous detail; Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have. The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study. Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
Coarse Grained Modeling Of Biomolecules
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Author : Garegin A. Papoian
language : en
Publisher: CRC Press
Release Date : 2017-10-30
Coarse Grained Modeling Of Biomolecules written by Garegin A. Papoian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Science categories.
"The chapters in this book survey the progress in simulating biomolecular dynamics.... The images conjured up by this work are not yet universally loved, but are beginning to bring new insights into the study of biological structure and function. The future will decide whether this scientific movement can bring forth its Picasso or Modigliani." –from the Foreword by Peter G. Wolynes, Bullard-Welch Foundation Professor of Science, Rice University This book highlights the state-of-art in coarse-grained modeling of biomolecules, covering both fundamentals as well as various cutting edge applications. Coarse-graining of biomolecules is an area of rapid advances, with numerous new force fields having appeared recently and significant progress made in developing a systematic theory of coarse-graining. The contents start with first fundamental principles based on physics, then survey specific state-of-art coarse-grained force fields of proteins and nucleic acids, and provide examples of exciting biological problems that are at large scale, and hence, only amenable to coarse-grained modeling. Introduces coarse-grained models of proteins and nucleic acids. Showcases applications such as genome packaging in nuclei and understanding ribosome dynamics Gives the physical foundations of coarse-graining Demonstrates use of models for large-scale assemblies in modern studies Garegin A. Papoian is the first Monroe Martin Associate Professor with appointments in the Department of Chemistry and Biochemistry and the Institute for Physical Science and Technology at the University of Maryland.
Singular Integral Equations
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Author : E.G. Ladopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Singular Integral Equations written by E.G. Ladopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.
