Lattice Models of Polymers
Lattice Models of Polymers

Author: Carlo Vanderzande

Publisher: Cambridge University Press

Published: 1998-04-30

Total Pages: 240

ISBN-13: 0521559936

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This book provides an introduction to lattice models of polymers. This is an important topic both in the theory of critical phenomena and the modelling of polymers. The first two chapters introduce the basic theory of random, directed and self-avoiding walks. The next two chapters develop and expand this theory to explore the self-avoiding walk in both two and three dimensions. Following chapters describe polymers near a surface, dense polymers, self-interacting polymers and branched polymers. The book closes with discussions of some geometrical and topological properties of polymers, and of self-avoiding surfaces on a lattice. The volume combines results from rigorous analytical and numerical work to give a coherent picture of the properties of lattice models of polymers. This book will be valuable for graduate students and researchers working in statistical mechanics, theoretical physics and polymer physics. It will also be of interest to those working in applied mathematics and theoretical chemistry.

Physical Chemistry of Macromolecules
Physical Chemistry of Macromolecules

Author: S. F. Sun

Publisher: John Wiley & Sons

Published: 2004-01-28

Total Pages: 590

ISBN-13: 0471281387

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Integrating coverage of polymers and biological macromolecules into a single text, Physical Chemistry of Macromolecules is carefully structured to provide a clear and consistent resource for beginners and professionals alike. The basic knowledge of both biophysical and physical polymer chemistry is covered, along with important terms, basic structural properties and relationships. This book includes end of chapter problems and references, and also: Enables users to improve basic knowledge of biophysical chemistry and physical polymer chemistry. Explores fully the principles of macromolecular chemistry, methods for determining molecular weight and configuration of molecules, the structure of macromolecules, and their separations.

Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties
Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties

Author: Vladimir Privman

Publisher: Springer

Published: 1989-08-23

Total Pages: 136

ISBN-13:

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This monograph gives a detailed introductory exposition of research results for various models, mostly two-dimensional, of directed walks, interfaces, wetting, surface adsorption (of polymers), stacks, compact clusters (lattice animals), etc. The unifying feature of these models is that in most cases they can be solved analytically. The methods used include transfer matrices, generating functions, recurrence relations, and difference equations, and in some cases involve utilization of less familiar mathematical techniques such as continued fractions and q-series. The authors emphasize an overall view of what can be learned generally of the statistical mechanics of anisotropic systems, including phenomena near surfaces, by studying the solvable models. Thus, the concept of scaling and, where known, finite-size scaling properties are elucidated. Scaling and statistical mechanics of anisoptropic systems in general are active research topics. The volume provides a comprehensive survey of exact model results in this field.

Statistical Physics of Polymers
Statistical Physics of Polymers

Author: Toshihiro Kawakatsu

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 223

ISBN-13: 366210024X

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From the reviews: "...This book is a very useful addition to polymer literature, and it is a pleasure to recommend it to the polymer community." (J.E. Mark, University of Cincinnati, POLYMER NEWS)