### Abstract

We investigate the problem of polymer translocation through a nanopore in the absence of an external driving force. To this end, we use the two-dimensional fluctuating bond model with single-segment Monte Carlo moves. To overcome the entropic barrier without artificial restrictions, we consider a polymer which is initially placed in the middle of the pore and study the escape time τ required for the polymer to completely exit the pore on either end. We find numerically that τ scales with the chain length N as τ∼N1+2ν, where ν is the Flory exponent. This is the same scaling as predicted for the translocation time of a polymer which passes through the nanopore in one direction only. We examine the interplay between the pore length L and the radius of gyration Rg. For L⪡Rg, we numerically verify that asymptotically τ∼N1+2ν. For L⪢Rg, we find τ∼N. In addition, we numerically find the scaling function describing crossover between short and long pores. We also show that τ has a minimum as a function of L for longer chains when the radius of gyration along the pore direction R‖≈L. Finally, we demonstrate that the stiffness of the polymer does not change the scaling behavior of translocation dynamics for single-segment dynamics.

Original language | English |
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Article number | 034714 |

Pages (from-to) | 1-5 |

Journal | Journal of Chemical Physics |

Volume | 124 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2006 |

MoE publication type | A1 Journal article-refereed |

### Keywords

- Nanopore
- Polymer
- Translocation time

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## Cite this

Luo, K., Ala-Nissila, T., Ying, S. C., & Hynninen, T. (2006). Polymer translocation through a nanopore: a two-dimensional Monte Carlo study.

*Journal of Chemical Physics*,*124*(3), 1-5. [034714]. https://doi.org/10.1063/1.2161189