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We investigate the process of biopolymer translocation through a narrow poreusing a multiscale approach which explicitly accounts for the hydrodynamicinteractions of the molecule with the surrounding solvent. The simulationsconfirm that the coupling of the correlated molecular motion to hydrodynamicsresults in significant acceleration of the translocation process. Based onthese results, we construct a phenomenological model which incorporates thestatistical and dynamical features of the translocation process and predicts apower law dependence of the translocation time on the polymer length with anexponent $\alpha$ $\approx 1.2$. The actual value of the exponent from thesimulations is $\alpha = 1.28 \pm 0.01$, which is in excellent agreement withexperimental measurements of DNA translocation through a nanopore, and is notsensitive to the choice of parameters in the simulation. The mechanism behindthe emergence of such a robust exponent is related to the interplay between thelongitudinal and transversal dynamics of both translocated and untranslocatedsegments. The connection to the macroscopic picture involves separating thecontributions from the blob shrinking and shifting processes, which are bothessential to the translocation dynamics.

Hydrodynamic correlations in the translocation of biopolymer through a nanopore: theory and multiscale simulations