Scaling Exponents for Polymer Translocation through a Nanopore

We present results of extensive computer simulations and scaling theory for computing the relevant scaling exponents associated with polymer translocation through a nanopore [1]. We present results for the scaling of the average translocation time and the fluctuation in the reaction coordinate for the case of spontaneous and field-driven translocation in 2D and 3D. The models used include: (i) the fluctuating bond model with single-segment Monte Carlo moves, (ii) Langevin dynamics, and (iii) GROMACS MD simulations using the bead-spring model for flexible polymers without an explicit solvent. We contrast our results to the recently presented alternate theories for polymer translocation [2,3]. \\ \noindent{\footnotesize{ 1. K. Luo {\em et al.}, J. Chem. Phys. {\bf 124}, 034714 (2006); {\bf 124}, 114704 (2006); {\bf 126}, 145101 (2007); Phys. Rev. Lett. {\bf 99}, 148102 (2007); I. Huopaniemi {\em et al.}, J. Chem. Phys. {\bf 125}, 124901 (2006); Phys. Rev. E {\bf 75}, 061912 (2007); K. Luo {\em et al.}, e-print arXiv:0709.4615.\\ 2. J. K. Wolterink {\em et al.}, Phys. Rev. Lett. {\bf 96}, 208301 (2006); D. Panja {\em et al.}, J. Phys.: Condens. Matter {\bf 19}, 432202 (2007).\\ 3. J. L. A. Dubbeldam {\em et al.}, Europhys. Lett. {\bf 79}, 18002 (2007); Phys. Rev. E {\bf 76}, 010801 (2007).}}