✦ LIBER ✦

Are the continuum and the lattice representation of freely jointed chains equivalent?

✍ Scribed by Gerhard Glatting; Roland G. Winkler; Peter Reineker

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 354 KB
Volume: 3
Category: Article
ISSN: 1022-1344
DOI: 10.1002/mats.1994.040030305

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✦ Synopsis

Abstract

The partition function and force elongation relation of freely jointed chains of rigid rod segments are calculated for arbitrary dimensions in the continuum and on a lattice. The qualitative differences between these models are discussed for polymers embedded in spaces of various dimensions. These investigations show that chains of rigid rod segments in higher dimensions are equivalent to chains of segments with internal degree of freedom in lower dimensions. Networks composed of these chains show a similar behaviour as uniaxial stretching experiments of rubber‐like materials.

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