Effect of topology on dynamics of knots in polymers under tension

Details Effect of topology on dynamics of knots in polymers under tension Effect of topology on dynamics of knots in polymers under tension

2009-08-07

arxiv.org/abs/0908.1085v2

EPL 89 (2010) 20001

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 8 figures

Scientific paper

10.1209/0295-5075/89/20001

We use computer simulations to compare the dynamical behaviour of torus and even-twist knots in polymers under tension. The knots diffuse through a mechanism similar to reptation. Their friction coefficients grow linearly with average knot length for both knot types. For similar complexity, however, the torus knots diffuse faster than the even twist knots. The knot-length auto-correlation function exhibits a slow relaxation time that can be linked to a breathing mode. Its timescale depends on knot type, being typically longer for torus than for even-twist knots. These differences in dynamical behaviour are interpreted in terms of topological features of the knots.

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