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

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 α. We obtained the average translocation time ⟨τ⟩ for various chain lengths N and the length of the pores Lp for various values α and found that ⟨τ⟩ scales as ⟨τ⟩∼NγFLpNϕ, with exponents γ = 3.00 ± 0.05 and ϕ = 1.50 ± 0.05 for both patterned and unpatterned pores, respectively.