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The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
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The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

E.J. Janse van Rensburg

Abstract

This book is an account of the theory and mathematical approaches in polymer entropy, with particular emphasis on mathematical approaches to directed and undirected lattice models. Results in the scaling and critical behaviour of models of directed and undirected models of self-avoiding walks, paths, polygons, animals and networks are presented. The general theory of tricritical scaling is reviewed in the context of models of lattice clusters, and the existence of a thermodynamic limit in these models is discussed in general and for particular models. Mathematical approaches based on subadditi ... More

Keywords: self-avoiding walks, polymer entropy, tricritical scaling, Dyck paths, pattern theorems, Monte Carlo methods

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780199666577
Published to Oxford Scholarship Online: August 2015 DOI:10.1093/acprof:oso/9780199666577.001.0001

Authors

Affiliations are at time of print publication.

E.J. Janse van Rensburg, author
Professor of Mathematics, York University, Toronto