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Stealing the GoldA celebration of the pioneering physics of Sam Edwards$
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Paul Goldbart, Nigel Goldenfeld, and David Sherrington

Print publication date: 2004

Print ISBN-13: 9780198528531

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198528531.001.0001

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SAM EDWARDS AND THE STATISTICAL MECHANICS OF RUBBER

SAM EDWARDS AND THE STATISTICAL MECHANICS OF RUBBER

Chapter:
(p.275) 17 SAM EDWARDS AND THE STATISTICAL MECHANICS OF RUBBER
Source:
Stealing the Gold
Author(s):

Paul M. Goldbart

Nigel Goldenfeld

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198528531.003.0019

The statistical mechanics of cross-linked macromolecules requires simultaneous treatment of random polymer configurations, excluded-volume interactions, and the quenched disorder of the cross-links, as well as the topological constraints imposed by impenetrable chains. Such a description was pioneered by Deam and Edwards. This work is reviewed and a discussion presented of subsequent efforts to understand the unique elastic properties of networks as well as the critical phenomena of the vulcanization transition.

Keywords:   statistical mechanics, cross-linked polymers, cross-linked macromolecules, polymers, macromolecules, rubber, excluded volume, vulcanization

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