Phase transitions of a polymer escaping from a pore

We theoretically study the phase transitions of a polymer escaping from a pore based on the Flory theory of the coil-globule transitions of a single polymer chain. We take into account the radius of the pore and the polymerpore interaction and predict a first-order escape transition coupled to the conformational change of the polymer chain. We also study the kinetics of the polymer under an external electric field based on Langevin equations. The translocation time t(t) is predicted to be beta n(1+v) for a large number n of polymer segments, where v is the radius of gyration exponent. The exponent of the translocation time decreases with increasing the electric field.