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We use the Bond Fluctuation Model (BFM) to study the pore-blockade times of atranslocating polymer of length $N$ in two dimensions, in the absence ofexternal forces on the polymer (i.e., unbiased translocation) and hydrodynamicinteractions (i.e., the polymer is a Rouse polymer), through a narrow pore.Earlier studies using the BFM concluded that the pore-blockade time scales withpolymer length as $\tau_d \sim N^\beta$, with $\beta=1+2\nu$, whereas somerecent studies with different polymer models produce results consistent with$\beta=2+\nu$, originally predicted by us. Here $\nu$ is the Flory exponent ofthe polymer; $\nu=0.75$ in 2D. In this paper we show that for the BFM if thesimulations are extended to longer polymers, the purported scaling $\tau_d \simN^{1+2\nu}$ ceases to hold. We characterize the finite-size effects, and studythe mobility of individual monomers in the BFM. In particular, we find that inthe BFM, in the vicinity of the pore the individual monomeric mobilities areheavily suppressed in the direction perpendicular to the membrane. After amodification of the BFM which counters this suppression (but possiblyintroduces other artifacts in the dynamics), the apparent exponent $\beta$increases significantly. Our conclusion is that BFM simulations do not rule outour theoretical prediction for unbiased translocation, namely $\beta=2+\nu$.

Simulations of Two-Dimensional Unbiased Polymer Translocation Using the Bond Fluctuation Model