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OverviewThe self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model.This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods. Full Product DetailsAuthor: E.J. Janse van Rensburg (Professor of Mathematics, Professor of Mathematics, York University, Toronto)Publisher: Oxford University Press Imprint: Oxford University Press Edition: 2nd Revised edition Dimensions: Width: 16.20cm , Height: 3.60cm , Length: 23.50cm Weight: 1.146kg ISBN: 9780199666577ISBN 10: 0199666571 Pages: 640 Publication Date: 14 May 2015 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1: Lattice models of linear and ring polymers 2: Lattice models of branched polymers 3: Interacting lattice clusters 4: Scaling, criticality and tricriticality 5: Directed lattice paths 6: Convex lattice vesicles and directed animals 7: Self-avoiding walks and polygons 8: Self-avoiding walks in slabs and wedges 9: Interaction models of self-avoiding walks 10: Adsorbing walks in the hexagonal lattice 11: Interacting models of animals, trees and networks 12: Interacting models of vesicles and surfaces 13: Monte Carlo methods for the self-avoiding walkReviewsAuthor InformationE J Janse van Rensburg is Professor of Mathematics at York University in Toronto, Ontario. He was educated at the University of Stellenbosch and at the University of the Witwatersrand in Johannesburg, South Africa, where he earned a B.Sc. (Hons) in Mathematics and Physics. He earned a Ph.D. in 1988 from Cambridge University. After post-doctoral positions at the University of Toronto, Florida State University and at RMC in Kingston, Ontario, he became an Assistant Professor of Mathematics at York University in 1992, where he was promoted to Associated Professor in 1996 and to Professor in 2000. Tab Content 6Author Website:Countries AvailableAll regions |
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