Abstract:
Using Monte Carlo simulation, we have examined the static and dynamic properties of linear
polymers with varying chain stiffness that have been translocated through channels. In a two
dimensional (square) lattice, we investigated the translocation process of a linear polymer chain of
length N using the bond fluctuation technique (BFM) in conjunction with the metropolis
algorithm. We positioned the middle monomers in the middle of the channels to get beyond the
entropic barrier. We discovered that, for short channel lengths (L =3 and 6 units), the scaling
relation of the flexible chain polymer's mean square end-to-end distance and mean square radius
of gyration as a function of chain length N agrees well with the Flory exponent. Our simulation
also showed that chain stiffness increases the mean square radius of gyration, mean square end-to
end distance, and their ratio. Furthermore, the results of our investigation demonstrated that while
chain stiffness has no effect on the scaling behavior of escape time, channel length and width do.
Additionally, the average escape time shows inverse connections with channel width and direct
associations with both chain stiffness and channel length.
