Topological interactions in systems of mutually interlinked polymer rings
Abstract
Topological interaction that arises 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. Topology conservation is imposed by the Gauss invariant. A previous approach (Otto and Vilgis 1998 Phys. Rev. Lett. 80 881) to the problem is refined in several ways. It is confirmed that asymptotically, i.e. for large R Gt R_{G} where R_{G} is the average size of a single random walk ring, the effective topological interaction (free energy) scales vpropR^{4}.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2004
 DOI:
 10.1088/03054470/37/8/003
 arXiv:
 arXiv:condmat/0309184
 Bibcode:
 2004JPhA...37.2881O
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Soft Condensed Matter
 EPrint:
 16 pages, 3 figure