title: Universality in the diffusion of knots.
abstract: We have evaluated a universal ratio between diffusion constants of the ring polymer with a given knot K and a linear polymer with the same molecular weight in solution through the Brownian dynamics under hydrodynamic interaction. The ratio is found to be constant with respect to the number of monomers, N , and hence the estimate at some N should be valid practically over a wide range of N for various polymer models. Interestingly, the ratio is determined by the average crossing number (N{AC}) of an ideal conformation of knotted curve K , i.e., that of the ideal knot. The N{AC} of ideal knots should therefore be fundamental in the dynamics of knots.
authors.affiliation: Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan. kanaeda@degway.phys.ocha.ac.jp
authors.forename: Naoko
authors.initials: N
authors.lastname: Kanaeda
authors.forename: Tetsuo
authors.initials: T
authors.lastname: Deguchi