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Self-reptation and slow topological time scale of knotted polymers | | Enzo Orlandini
; Attilio L. Stella
; Carlo Vanderzande
; Francesco Zonta
; | | Date: |
16 May 2007 | | Subject: | Statistical Mechanics (cond-mat.stat-mech); Soft Condensed Matter (cond-mat.soft) | | Abstract: | We investigate the Rouse dynamics of a flexible ring polymer with a prime
knot. Within a Monte Carlo approach, we locate the knot, follow its diffusion,
and observe the fluctuations of its length. We characterise a topological time
scale, and show that it is related to a self-reptation of the knotted region.
The associated dynamical exponent, $z_T=2.32pm.1$, can be related to that of
the equilibrium knot length distribution and determines the behaviour of
several dynamical quantities. | | Source: | arXiv, arxiv.0705.2291 | | Services: | Forum | Review | PDF | Favorites | |
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