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For the translocation of a diblock copolymer chain through a nanopore in a membrane with two translocation orders, the free energies under different conditions were given, and then the mean first-passage time (MFPT) was obtained by solving the Folcker-Planck equation. The corresponding numerical calculations show that, when the copolymer chain transports from the region of good solvent to that of poor solvent, the translocation order that the block without coil-blob transition transports first is prior to the other. At a given order, it was found that the chemical potential, coil-blob transition, composition of the diblock copolymer chain and the translocation rate played an important role in the translocation. The present studies are expected to provide available clues to the translocation of real biopolymer chain.

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