Driven polymer translocation through a cylindrical nanochannel: interplay between the channel length and the chain length

Using analytical techniques and Langevin dynamics simulations, we investigate the dynamics of polymer translocation through a nanochannel embedded in two dimensions under an applied external field. We examine the translocation time for various ratio of the channel length L to the polymer length N . For short channels L < N , the translocation time N 1+ under weak driving force F , while F 1 L for long channels L > N , independent of the chain length N . Moreover, we observe a minimum of translocation time as a function of L / N for different driving forces and channel widths. These results are interpreted by the waiting time of a single segment. Translocation time as a function of the channel length shows a minimum for different driving forces and channel widths.