Pulling Knotted Polymers

Details Pulling Knotted Polymers Pulling Knotted Polymers

2002-05-06

arxiv.org/abs/cond-mat/0205111v1

Europhys. Lett. 60, pp. 53-59 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1209/epl/i2002-00317-0

We compare Monte Carlo simulations of knotted and unknotted polymers whose ends are connected to two parallel walls. The force $f$ exerted on the polymer is measured as a function of the separation $R$ between the walls. For unknotted polymers of several monomer numbers $N$, the product $fN^\nu$ is a simple function of $R/N^\nu$, where $\nu\simeq 0.59$. By contrast, knotted polymers exhibit strong finite size effects which can be interpreted in terms of a new length scale related to the size of the knot. Based on this interpretation, we conclude that the number of monomers forming the knot scales as $N^t$, with $t=0.4\pm 0.1$.

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