R. Matthews et al 2010 EPL 89 20001 doi:10.1209/0295-5075/89/20001
R. Matthews, A. A. Louis and J. M. Yeomans
Show affiliationsWe 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 autocorrelation function exhibits a 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.
Issue 2 (January 2010)
Received 7 August 2009, accepted for publication 21 December 2009
Published 27 January 2010
R. Matthews et al 2010 EPL 89 20001
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Jean-Pierre Hansen et al 2005 J. Phys.: Condens. Matter 17 S3185
Anupama Bhat et al 1999 Supercond. Sci. Technol. 12 1030
Paul Fendley et al 2003 J. Phys. A: Math. Gen. 36 12399
C M Tchen 1973 Plasma Phys. 15 1193
Demian H J Cho et al 2007 Class. Quantum Grav. 24 1035
J T Padding et al 2005 J. Phys.: Condens. Matter 17 S3393