Dynamics of polymer translocation rectified by attractive binding particles

We study translocation of flexible homopolymer chains through a nanopore in presence of attractive particles those bind reversibly on the $trans$ part of the chain and responsible for successful translocation using Langevin dynamics simulation. We study the mean first passage time (MFPT) as a function of the density $\rho_{att}$ and strength $\epsilon_{att}$ of the attractive particles respectively and find that it is qualitatively different compared to the results obtained for straight(rigid) chains$^1$. Further, we find the average translocation time $\langle \tau \rangle \sim N^{1.5}$ which is faster than the lower bound predicted by simple one dimensional Langevin equation. Finally, we find that for certain combination of $\rho_{att}$ and $\epsilon_{att}$ the translocation is most efficient. We interpret it as a resonant assisted activated translocation. We discuss relevance of our studies in biological translocation processes.\\ $^1$R. Zandi, D. Reguera, J. Rudnick and W.~M. Gelbart, Proc. Natl. Acad. Sci. USA {\bf 100} 8649 (2003).\\ $^2$W. Sung and P.~J. Park, Phys. Rev. Lett. {\bf 77}, 783 (1996).