Random Polymer Models PDF Download

Author: Giambattista Giacomin
Publisher: Imperial College Press
ISBN: 1860948294
Category : Mathematics
Languages : en
Pages : 259

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Book Description
Random polymer models and their applications -- The homogeneous pinning model -- Weakly inhomogeneous models -- The free energy of disordered polymer chains -- Disordered pinning models: The hase diagram -- Disordered copolymers and selective interfaces: The phase diagram -- The localized phase of disordered polymers -- The delocalized phase of disordered polymers -- Numerical algorithms and computations

Author: Frank Hollander
Publisher: Springer Science & Business Media
ISBN: 364200332X
Category : Mathematics
Languages : en
Pages : 271

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Book Description
Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.

Author: Giambattista Giacomin
Publisher: Imperial College Press
ISBN: 1860947867
Category : Technology & Engineering
Languages : en
Pages : 259

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Book Description
This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted in the last 25 years, in particular in the fields of physical and biological sciences. The models treated have been widely used in studying, for example, the phenomena of polymer pinning on a defect line, the behavior of copolymers in proximity to an interface between selective solvents and the DNA denaturation transition. In spite of the apparent heterogeneity of this list, in mathematical terms, a unified vision emerges. One is in fact dealing with the natural statistical mechanics systems built on classical renewal sequences by introducing one-body potentials. This volume is also a self-contained mathematical account of the state of the art for this class of statistical mechanics models.

Author: Francis Comets
Publisher: Springer
ISBN: 3319504878
Category : Mathematics
Languages : en
Pages : 210

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Book Description
Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed?This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality. Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.

Author: Jean-François Lutz
Publisher: John Wiley & Sons
ISBN: 3527342370
Category : Technology & Engineering
Languages : en
Pages : 532

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Book Description
Edited by a leading authority in the field, the first book on this important and emerging topic provides an overview of the latest trends in sequence-controlled polymers. Following a brief introduction, the book goes on to discuss various synthetic approaches to sequence-controlled polymers, including template polymerization, genetic engineering and solid-phase chemistry. Moreover, monomer sequence regulation in classical polymerization techniques such as step-growth polymerization, living ionic polymerizations and controlled radical polymerizations are explained, before concluding with a look at the future for sequence-controlled polymers. With its unique coverage of this interdisciplinary field, the text will prove invaluable to polymer and environmental chemists, as well as biochemists and bioengineers.

Author: Bikas K. Chakrabarti
Publisher: Elsevier
ISBN: 008046047X
Category : Technology & Engineering
Languages : en
Pages : 368

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Book Description
With the mapping of the partition function graphs of the n-vector magnetic model in the n to 0 limit as the self-avoiding walks, the conformational statistics of linear polymers was clearly understood in early seventies. Various models of disordered solids, percolation model in particular, were also established by late seventies. Subsequently, investigations on the statistics of linear polymers or of self-avoiding walks in, say, porous medium or disordered lattices were started in early eighties. Inspite of the brilliant ideas forwarded and extensive studies made for the next two decades, the problem is not yet completely solved in its generality. This intriguing and important problem has remained since a topic of vigorous and active research. This book intends to offer the readers a first hand and extensive review of the various aspects of the problem, written by the experts in the respective fields. We hope, the contents of the book will provide a valuable guide for researchers in statistical physics of polymers and will surely induce further research and advances towards a complete understanding of the problem. First book on statistics of polymers in random media. Contents straight away from research labs. Chapters written by foremost experts in the respective fields. Theories, experiments and computer simulations extensively discussed. Includes latest developments in understanding related important topics like DNA unzipping, Travelling salesman problem, etc. Comprehensive index for quick search for keywords.

Author: Ulf Gedde
Publisher: Springer Science & Business Media
ISBN: 9780412626401
Category : Science
Languages : en
Pages : 326

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Book Description
This text provides a comprehensive overview of the physical characteristics of polymers from random polymer chains and the statistical concepts of a gaussian chain to crystalline polymers and their kinetics. The main part of the book is concerned with the different physical states and phenomena which are characteristic of polymers. A summary of the most important experimental methods in polymer physics is included. Each chapter provides the reader with problems, for which solutions are given at the end of the book.

Author:
Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 1131

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Author: Omar Benhar
Publisher: World Scientific
ISBN: 9814553581
Category :
Languages : en
Pages : 358

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Book Description
Neural network models, in addition to being of intrinsic theoretical interest, have also proved to be a useful framework in which issues in theoretical biology can be put into perspective. These issues include, amongst others, modelling the activity of the cortex and the study of protein folding. More recently, neural network models have been extensively investigated as tools for data analysis in high energy physics experiments. These workshop proceedings reflect the strongly interdisciplinary character of the field and provide an updated overview of recent developments.

Author: Kwang-Sup Lee
Publisher: Springer Science & Business Media
ISBN: 3642136265
Category : Technology & Engineering
Languages : en
Pages : 242

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Book Description
-On the Mechanisms Leading to Exfoliated Nanocomposites Prepared by Mixing By C. D. Han -Phase Behavior and Phase Transitions in AB- and ABA-type Microphase-Separated Block Copolymers By J. K. Kim, C. D. Han -New Class Materials of Organic–Inorganic Hybridized Nanocrystals/Nanoparticles, and Their Assembled Microand Nano-Structure Toward Photonics By H. Oikawa, T. Onodera, A. Masuhara, H. Kasai, H. Nakanishi -Poly(substituted Methylene) Synthesis: Construction of C–C Main Chain from One Carbon Unit By E. Ihara