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作者 Whittington, Stuart G
書名 Topology and Geometry in Polymer Science [electronic resource] / edited by Stuart G. Whittington, Witt Sumners, Timothy Lodge
出版項 New York, NY : Springer New York, 1998
國際標準書號 9781461217121 (electronic bk.)
1461217121 (electronic bk.)
book jacket
說明 1 online resource (x, 206 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 The IMA Volumes in Mathematics and its Applications, 0940-6573 ; 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 three-dimensional random walk -- Knot Energies: Self-repelling 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 self-avoiding 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 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
鏈接 Print version: 9780387985800
主題 Mathematics
Combinatorial analysis
Electronic books
Alt Author Sumners, Witt
Lodge, Timothy
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