Overview

This book contains contributions from a workshop on topology and geometry of polymers, held at the IMA in June 1996, which brought together topologists, combinatorialists, theoretical physicists and polymer scientists, with a common interest in polymer topology. Polymers can be highly self-entangled even in dilute solution. In the melt the inter- and intra-chain entanglements can dominate the rheological properties of these phenomena. Although the possibility of knotting in ring polymers has been recognized for more than thirty years it is only recently that the powerful methods of algebraic topology have been used in treating models of polymers. This book contains a series of chapters which review the current state of the field and give an up to date account of what is known and perhaps more importantly, what is still unknown. The field abounds with open problems. The book is of interest to workers in polymer statistical mechanics but will also be useful as an introduction to topological methods for polymer scientists, and will introduce mathematicians to an area of science where topological approaches are making a substantial contribution.

Full Product Details

Author:   Stuart G. Whittington ,  Witt De Sumners ,  Timothy Lodge
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1998th 1998 ed.
Volume:   103
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.080kg
ISBN:  

9780387985800

ISBN 10:   0387985808
Pages:   206
Publication Date:   13 August 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Entanglement Complexity of Polymers.- Entanglements of polymers.- Entropic exponents of knotted lattice polygons.- The torsion of three-dimensional random walk.- 2. Knot Energies.- Self-repelling knots and local energy minima.- Properties of knot energies.- Energy and thickness of knots.- On distortion and thickness of knots.- 3. Random Linking.- Percolation of linked circles.- Minimal links in the cubic lattice.- 4. Effect of Geometrical Constraints.- Knots in graphs in subsets of Z3.- Topological entanglement complexity of polymer chains in confined geometries.- 5. Surfaces and Vesicles.- Survey of self-avoiding random surfaces on cubic lattices: Issues, controversies, and results.- Computational methods in random surface simulation.- A model of lattice vesicles.

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