Pulling knotted polymers
Abstract
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^{ν} is a simple function of R/N^{ν}, where ν simeq 0.59. By contrast, knotted polymers exhibit strong finitesize 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 ± 0.1.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 October 2002
 DOI:
 10.1209/epl/i2002003170
 arXiv:
 arXiv:condmat/0205111
 Bibcode:
 2002EL.....60...53F
 Keywords:

 36.20.Ey;
 87.15.La;
 02.10.Kn;
 Conformation;
 Mechanical properties;
 Knot theory;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Soft Condensed Matter
 EPrint:
 5 pages, 3 figures