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The IMA Volumes in Mathematics and its Applications, 09406573 ; 103


IMA volumes in mathematics and its applications ; 103

附註 
Foreword  Preface  Entanglement Complexity of Polymers: Entanglements of polymers. Entropic exponents of knotted lattice polygons. The torsion of threedimensional random walk  Knot Energies: Selfrepelling knots and local energy minima. Properties of knot energies. Energy and thickness of knots. On distortion and thickness of knots. Random Linking: Percolation of linked circles. Minimal links in the cubic lattice. Effect of Geometrical Constraints. Knots in graphs in subsets of Z3. Topological entanglement complexity of polymer chains in confined geometries. Surfaces and Vesicles: Survey of selfavoiding random surfaces on cubic lattices. Issues, controversies, and results. Computational methods in random 

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 selfentangled even in dilute solution. In the melt the inter and intrachain 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 
鏈接 
Print version: 9780387985800

主題 
Mathematics


Combinatorial analysis


Topology


Electronic books

Alt Author 
Sumners, Witt


Lodge, Timothy

