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Are the continuum and the lattice representation of freely jointed chains equivalent?
Author(s) -
Glatting Gerhard,
Winkler Roland G.,
Reineker Peter
Publication year - 1994
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.1994.040030305
Subject(s) - lattice (music) , elongation , polymer , materials science , physics , ultimate tensile strength , composite material , acoustics
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.