Entangled Polymer Rings in 2D and Confinement

Details Entangled Polymer Rings in 2D and Confinement Entangled Polymer Rings in 2D and Confinement

1996-04-16

arxiv.org/abs/cond-mat/9604118v2

Physics

Condensed Matter

17 pages of Latex, 1 ps figure now available upon request, accepted for J.Phys.A:Math.Gen

Scientific paper

10.1088/0305-4470/29/14/014

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 $R\propto lN^\frac{1}{4}$.

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