The mobility and diffusivity of a knotted polymer : Topological deformation effect(2/2)
Date Issued
2002
Date
2002
Author(s)
DOI
902214E002016
Abstract
The effect of topological deformation on the
mobility and diffusivity of a polymer chain in
a good solvent is investigated by off-lattice
dynamic Monte Carlo simulations. The
topological deformation of the polymer is
expressed through the knotted structure. The
Nernst-Einstein relation is obeyed and thus
the diffusivity is proportional to the mobility.
As the crossing number of the knotted poly-mer,
which characterizes the extent of the
deformation, is increased, the mobility de-clines.
A scaling analysis confirmed by simu-lations
indicates that the deformation yields
an extra contribution to the resistance æN as-sociated
with a linear chain, áN -3/5 p 8/5 , where
N is the chain length and p is the
length-to-diameter ratio associated with a
maximum inflated knot. The mobility of the
polymer chain is further reduced due to the
confinement in a cylindrical tube. Neverthe-less,
the confinement only slightly increases
the friction coefficients æ and the internal
friction constant á. Our numerical results for
the Rouse model are qualitatively different
from those anticipated on the basis of scaling
arguments for the Zimm model.
Publisher
臺北市：國立臺灣大學化學工程學系暨研究所
Type
report
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