Abstract:
In this thesis we have to investigate Monte Carlo simulation of polymer
translocation through a nanopore for di erent chain lengths. To this end we
used the bond uctuation method (BFM) to study the translocation process of
a polymer chain of length N in two dimensions, in the absence of external force
on the polymer (i.e. unbiased translocation). To overcome the en-tropic barrier
we consider a polymer which is initially placed in the middle of the pore and
study the average escape time needed for the polymer to completely exit the
pore on either side of the end. We probed the static properties of the polymer
by calculating the mean square of the radius of gyration and the mean square
end-to-end distance of the polymer, and we found that the scaling exponents
of both the mean square end-to-end distance R2 and the mean square radius
of gyration R2 g as a function of the polymer length N vary with the channel
length and width. The dynamic properties have also been studied by exploring
the translocation of the polymer. Our current research shows that the escape
time increases as channel length decrease and the length of width increase.
Moreover, in the power-law relation of escape time as a function of polymer
length N, the scaling exponent ( ) changes with channel length and width.
