Dynamical scaling exponents for polymer translocation through a nanopore

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2008
Major/Subject
Mcode
Degree programme
Language
en
Pages
050901/1-4
Series
Physical Review E, Volume 78, Issue 5
Abstract
We determine the scaling exponents of polymer translocation (PT) through a nanopore by extensive computer simulations of various microscopic models for chain lengths extending up to N=800 in some cases. We focus on the scaling of the average PT time τ∼Nα and the mean-square change of the PT coordinate, ⟨s2(t)⟩∼tβ. We find α=1+2ν and β=2∕α for unbiased PT in two dimensions (2D) and three dimensions (3D). The relation αβ=2 holds for driven PT in 2D, with a crossover from α≈2ν for short chains to α≈1+ν for long chains. This crossover is, however, absent in 3D where α=1.42±0.01 and αβ≈2.2 for N≈40−800.
Description
Keywords
polymer translocation, translocation time, scaling exponent
Other note
Citation
Luo, Kaifu & Ollila, Santtu T. T. & Huopaniemi, Ilkka & Ala-Nissilä, Tapio & Pomorski, Pawel & Karttunen, Mikko & Ying, See-Chen & Bhattacharya, Aniket. 2008. Dynamical scaling exponents for polymer translocation through a nanopore. Physical Review E. Volume 78, Issue 5. P. 050901/1-4. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.78.050901.