  Here using LAMMPS molecular dynamics (MD) software, we simulate polymer
translocation in 2 dimensions. We do the simulations for weak and moderate
forces and for different pore diameters. Our results show that in both
non-equilibrium and equilibrium initial conditions, translocation time will
always increase by increasing binding energy and or increasing pore diameter.
Moreover, scaling exponent of time versus force is -0.9531 in accordance to our
predecessors. The comparison between equilibrium and non-equilibrium initial
condition shows that the translocation time is very sensitive to the initial
condition. Translocation time of the relaxed polymers for interaction energy of
8k_B T is smaller from the non-equilibrium case even in the small energy of
1k_B T.
