  We perform, with the help of cloud computing resources, extensive Langevin
simulations which provide free energy estimates for unbiased three dimensional
polymer translocation. We employ the Jarzynski equality in its rigorous
setting, to compute the variation of the free energy in single monomer
translocation events. In our three-dimensional Langevin simulations, the
excluded-volume and van der Waals interactions between beads (monomers and
membrane atoms) are modeled through a repulsive Lennard-Jones (LJ) potential
and consecutive monomers are subject to the Finite-Extension Nonlinear Elastic
(FENE) potential. Analysing data for polymers with different lengths, the free
energy profile is noted to have interesting finite size scaling properties.
