Kinetics of polymer translocation through a pore

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We theoretically study kinetics of a polymer threading through a pore embedded in a flat membrane. We numerically solve three coupled kinetic equations for the number n1 of polymer segments in one side of the membrane and expansion factors of the polymer chain in each side of the membrane. We find the time evolution n1∝t1/(1+ν) at late stages and the translocation time τt is scaled as τt∝n1+ν for large number n of the polymer segments, where ν is the effective size exponent of the radius of gyration of the polymer. When the polymer is translocated into a region with a good solvent condition (ν=3/5), we obtain n1∝t5/8 and τt∝n8/5.

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