E ect of Chain Length on the Translocation of Linear Polymer Through Nanochannel

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.