Topological interactions in systems of mutually interlinked polymer rings

DOI10.1088/0305-4470/37/8/003zbMATH Open1039.82040arXivcond-mat/0309184OpenAlexW3099463636MaRDI QIDQ4465513

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Publication date: 9 June 2004

Published in: (Search for Journal in Brave)

Abstract: The topological interaction arising in interlinked polymeric rings such as DNA catenanes is considered. More specifically, the free energy for a pair of linked random walk rings is derived where the distance

R

between two segments each of which is part of a different ring is kept constant. The topology conservation is imposed by the Gauss invariant. A previous approach (M.Otto, T.A. Vilgis, Phys.Rev.Lett. {�f 80}, 881 (1998)) to the problem is refined in several ways. It is confirmed, that asymptotically, i.e. for large

R g g R_{G}

where

R_{G}

is average size of single random walk ring, the effective topological interaction (free energy) scales

p r o p t o R^{4}

.

Full work available at URL: https://arxiv.org/abs/cond-mat/0309184

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