Free energy landscape for the translocation of polymer through an interacting pore

Free energy landscapes for polymer chain translocating through an interacting pore are calculated by using exact enumeration method. A potential barrier exists at weak attractive or repulsive polymer-pore interaction and it changes to a potential well with the increase in the attraction. The result reveals that there is a free translocation point where polymer is free of energy barrier. Using the free energy landscape, the translocation time tau for polymer worming through the pore and the migration time tau(m) for polymer migrating from cis side to trans side are calculated with the Fokker-Plank equation. It shows that a moderate attractive polymer-pore interaction accelerates the migration of polymer from cis side to trans side.