The polymer theta-point as a knot delocalisation transition

Details The polymer theta-point as a knot delocalisation transition The polymer theta-point as a knot delocalisation transition

2002-11-13

arxiv.org/abs/cond-mat/0211259v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.68.031804

We study numerically the tightness of prime flat knots in a model of self-attracting polymers with excluded volume. We find that these knots are localised in the high temperature swollen regime, but become delocalised in the low temperature globular phase. Precisely at the collapse transition, the knots are weakly localised. Some of our results can be interpreted in terms of the theory of polymer networks, which allows to conjecture exact exponents for the knot length probability distributions.

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