Entangled Polymer Rings in 2D and Confinement
Condensed Matter
2009-10-28 v2
Abstract
The statistical mechanics of polymer loops entangled in the two-dimensional array of randomly distributed obstacles of infinite length is discussed. The area of the loop projected to the plane perpendicular to the obstacles is used as a collective variable in order to re-express a (mean field) effective theory for the polymer conformation. It is explicitly shown that the loop undergoes a collapse transition to a randomly branched polymer with .
Cite
@article{arxiv.cond-mat/9604118,
title = {Entangled Polymer Rings in 2D and Confinement},
author = {Matthias Otto and Thomas A. Vilgis},
journal= {arXiv preprint arXiv:cond-mat/9604118},
year = {2009}
}
Comments
17 pages of Latex, 1 ps figure now available upon request, accepted for J.Phys.A:Math.Gen