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| Author | : Frank den Hollander |
| Publisher | : Springer |
| Total Pages | : 271 |
| Release | : 2009-04-09 |
| Genre | : Mathematics |
| ISBN | : 3642003338 |
Download Random Polymers Book in PDF, ePub and Kindle
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.
| Author | : Frank Hollander |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 271 |
| Release | : 2009-05-14 |
| Genre | : Mathematics |
| ISBN | : 364200332X |
Download Random Polymers Book in PDF, ePub and Kindle
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 | : Francis Comets |
| Publisher | : Springer |
| Total Pages | : 199 |
| Release | : 2017-01-26 |
| Genre | : Mathematics |
| ISBN | : 3319504878 |
Download Directed Polymers in Random Environments Book in PDF, ePub and Kindle
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 | : Giambattista Giacomin |
| Publisher | : Imperial College Press |
| Total Pages | : 259 |
| Release | : 2007 |
| Genre | : Technology & Engineering |
| ISBN | : 1860947867 |
Download Random Polymer Models Book in PDF, ePub and Kindle
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 | : Jean-François Lutz |
| Publisher | : John Wiley & Sons |
| Total Pages | : 532 |
| Release | : 2018-04-09 |
| Genre | : Technology & Engineering |
| ISBN | : 3527342370 |
Download Sequence-Controlled Polymers Book in PDF, ePub and Kindle
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 | : Frank Den Hollander |
| Publisher | : |
| Total Pages | : 258 |
| Release | : 2009 |
| Genre | : Copolymers |
| ISBN | : |
Download Random Polymers Book in PDF, ePub and Kindle
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.
| Author | : Kenneth C. Millett |
| Publisher | : World Scientific |
| Total Pages | : 207 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 9810220057 |
Download Random Knotting and Linking Book in PDF, ePub and Kindle
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the d-dimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wet-lab molecular biology.
| Author | : Bryan Ellis |
| Publisher | : CRC Press |
| Total Pages | : 1129 |
| Release | : 2008-10-29 |
| Genre | : Science |
| ISBN | : 1420005707 |
Download Polymers Book in PDF, ePub and Kindle
A reliable source for scientific and commercial information on over 1,000 polymers, this revised and updated edition features 25 percent new material, including 50 entirely new entries that reflect advances in such areas as conducting polymers, hydrogels, nano-polymers, and biomaterials. The second edition also comes with unlimited access to a complete, fully searchable web version of the reference. Powerful retrieval software allows users to customize their searches and refine results. Each entry includes trade names, properties, manufacturing processes, commercial applications, supplier details, references, and links to constituent monomers.
| Author | : John R. Reynolds |
| Publisher | : CRC Press |
| Total Pages | : 660 |
| Release | : 2019-03-27 |
| Genre | : Technology & Engineering |
| ISBN | : 1351659812 |
Download Conjugated Polymers Book in PDF, ePub and Kindle
The Fourth Edition of the Handbook of Conducting Polymers, Two-Volume Set continues to be the definitive resource on the topic of conducting polymers. Completely updated with an extensive list of authors that draws on past and new contributors, the book takes into account the significant developments both in fundamental understanding and applications since publication of the previous edition. One of two volumes comprising the comprehensive Handbook, Conjugated Polymers: Perspective, Theory, and New Materials features new chapters on the fundamental theory and new materials involved in conducting polymers. It discusses the history of physics and chemistry of these materials and the theory behind them. Finally, it details polymer and materials chemistry including such topics as conjugated block copolymers, metal-containing conjugated polymers, and continuous flow processing. Aimed at researchers, advanced students, and industry professionals working in materials science and engineering, this book covers fundamentals, recent progress, and new materials involved in conducting polymers and includes a wide-ranging listing of comprehensive chapters authored by an international team of experts.
| Author | : John R. Reynolds |
| Publisher | : CRC Press |
| Total Pages | : 1488 |
| Release | : 2019-11-14 |
| Genre | : Technology & Engineering |
| ISBN | : 1351660233 |
Download Handbook of Conducting Polymers, Fourth Edition - 2 Volume Set Book in PDF, ePub and Kindle
In the last 10 years there have been major advances in fundamental understanding and applications and a vast portfolio of new polymer structures with unique and tailored properties was developed. Work moved from a chemical repeat unit structure to one more based on structural control, new polymerization methodologies, properties, processing, and applications. The 4th Edition takes this into account and will be completely rewritten and reorganized, focusing on spin coating, spray coating, blade/slot die coating, layer-by-layer assembly, and fiber spinning methods; property characterizations of redox, interfacial, electrical, and optical phenomena; and commercial applications.
