Using Langevin dynamics simulations in three dimensions (3D), we investigate the dynamics of polymer translocation into the regions between two parallel plane walls with separation $R$ under a driving force $F$, respectively. Compared with an unconfined environment, the translocation dynamics is greatly changed due to the crowding effect of the partially translocated monomers. Translocation time $tau$ initially decreases rapidly with increasing $R$ and then saturates for larger $R$, and the confined environment leads to a nonuniversal dependence of $tau$ on $F$.
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