Topology and Geometry in Polymer Science / Edition 1
  • Alternative view 1 of Topology and Geometry in Polymer Science / Edition 1
  • Alternative view 2 of Topology and Geometry in Polymer Science / Edition 1

Topology and Geometry in Polymer Science / Edition 1

by Stuart G. Whittington
     
 

ISBN-10: 0387985808

ISBN-13: 9780387985800

Pub. Date: 08/01/1998

Publisher: Springer New York

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

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.

Product Details

ISBN-13:
9780387985800
Publisher:
Springer New York
Publication date:
08/01/1998
Series:
IMA Volumes in Mathematics and its Applications Series, #103
Edition description:
1998
Pages:
206
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >