Dynamical Diagram and Scaling in Polymer Driven Translocation

Abstract

By analyzing the real space nonequilibrium dynamics of polymers, we elucidate the physics of driven translocation and propose its dynamical scaling scenario analogous to that in the surface growth phenomena. We provide a detailed account of the previously proposed tension-propagation formulation and extend it to cover the broader parameter space relevant to real experiments; In addition to a near-equilibrium regime, we identify three distinct nonequilibrium regimes reflecting the steady-state property of a dragged polymer with the finite extensibility. Finite size effects are also pointed out. These elements are shown to be crucial for the appropriate comparison with experiments and simulations.