Passage times for polymer translocation pulled through a narrow pore

We study the passage times of a translocating polymer of length N in three dimensions, while it is pulled through a narrow pore with a constant force F applied to one end of the polymer. At small to moderate forces, satisfying the condition FN nu/k(B)T <= 1, where nu approximate to 0.588 is the Flory exponent for the polymer, we find that tau(N), the meantime the polymer takes to leave the pore, scales as N2+nu, independent of F, in agreement with our earlier result for F = 0. At strong forces, i.e., for, FN nu/k(B)T >> 1, the behavior of the passage time crosses over to tau(N) similar to N-2/F We show here that these behaviors stem from the polymer dynamics at the immediate vicinity of the pore-in particular, the memory effects in the polymer chain tension imbalance across the pore.