Influence of pore friction on the universal aspects of driven polymer translocation

Abstract

We present a theoretical argument to derive a scaling law between the mean\ntranslocation time $\\tau$ and the chain length $N$ for driven polymer\ntranslocation. This scaling law explicitly takes into account the pore-polymer\ninteractions, which appear as a correction term to asymptotic scaling and are\nresponsible for the dominant finite size effects in the process. By eliminating\nthe correction-to-scaling term we introduce a rescaled translocation time and\nshow, by employing both the Brownian Dynamics Tension Propagation theory\n[Ikonen {\\it et al.}, Phys. Rev. E {\\bf 85}, 051803 (2012)] and molecular\ndynamics simulations that the rescaled exponent reaches the asymptotic limit in\na range of chain lengths that is easily accessible to simulations and\nexperiments. The rescaling procedure can also be used to quantitatively\nestimate the magnitude of the pore-polymer interaction from simulations or\nexperimental data. Finally, we also consider the case of driven translocation\nwith hydrodynamic interactions (HIs). We show that by augmenting the BDTP\ntheory with HIs one reaches a good agreement between the theory and previous\nsimulation results found in the literature. Our results suggest that the\nscaling relation between $\\tau$ and $N$ is retained even in this case.\n