Polymer translocation through extended patterned pores in two dimensions: scaling of the total translocation time

Abstract

We study the translocation of a flexible polymer through extended patterned pores using molecular dynamics (MD) simulations. We consider cylindrical and conical pore geometries that can be controlled by the angle of the pore apex $\hat{I}\pm$. We obtained the average translocation time $⟨\ddot{I}„⟩$ for various chain lengths $N$ and the length of the pores $L_p$ for various values $\hat{I}\pm$ and found that $⟨\ddot{I}„⟩$ scales as $⟨\ddot{I}„⟩\sim N^3\mathcal{F}\left(L_p{N}^{\ddot{I}}•\right)$ with exponents ${\hat{I}}^3=3.00\pm 0.05$ and $\ddot{I}•=1.50\pm 0.05$ for both patterned and unpatterned pores.

9 pages, 7 figures