Polymer translocation out of confined environments

We consider the dynamics of polymer translocation out of confined environments. Analytic scaling arguments lead to the prediction that the translocation time scales like tau similar to N2D beta+nu R2D1+(1-nu)/nu for translocation out of a planar confinement between two walls with separation R into a three-dimensional (3D) environment, and tau similar to N beta+1R for translocation out of two strips with separation R into a two-dimensional (2D) environment. Here, N is the chain length, nu and nu(2D) are the Flory exponents in 3D and 2D, and beta is the scaling exponent of translocation velocity with N, whose value for the present choice of parameters is beta approximate to 0.8 based on Langevin dynamics simulations. These scaling exponents improve on earlier predictions.