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Quantification of tension to explain bias dependence of driven polymer translocation dynamics

2017/07/31 by P. M. Suhonen, J. Piili, R. P. Linna
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Diffusion #Exponent #Fuel Cells and Related Materials #Langevin dynamics #Materials science #Mathematics #Nanopore and Nanochannel Transport Studies #Nuclear magnetic resonance #Physics #Polymer #Scaling #Self-diffusion #Statistical physics #Surface tension #Tension (geology) #Thermal properties of materials #Thermodynamics #cond-mat.stat-mech #physics.bio-ph #physics.comp-ph

paper · pdf · doi:10.1103/physreve.96.062401

published as Phys. Rev. E 96, 062401 (2017) · 16 pages, 14 figures

openalex publication_date 2017/12/06 · arxiv created 2017/12/15 · arxiv updated 2017/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Motivated by identifying the origin of the bias dependence of tension propagation, we investigate methods for measuring tension propagation quantitatively in computer simulations of driven polymer translocation. Here, the motion of flexible polymer chains through a narrow pore is simulated using Langevin dynamics. We measure tension forces, bead velocities, bead distances, and bond angles along the polymer at all stages of translocation with unprecedented precision. Measurements are done at a standard temperature used in simulations and at zero temperature to pin down the effect of fluctuations. The measured quantities were found to give qualitatively similar characteristics, but the bias dependence could be determined only using tension force. We find that in the scaling relation τ∼Nβfdα for translocation time τ, the polymer length N, and the bias force fd, the increase of the exponent β with bias is caused by center-of-mass diffusion of the polymer toward the pore on the cis side. We find that this diffusion also causes the exponent α to deviate from the ideal value -1. The bias dependence of β was found to result from combination of diffusion and pore friction and so be relevant for polymers that are too short to be considered asymptotically long. The effect is relevant in experiments all of which are made using polymers whose lengths are far below the asymptotic limit. Thereby, our results also corroborate the theoretical prediction by Sakaue's theory [Polymers 8, 424 (2016)2073-436010.3390/polym8120424] that there should not be bias dependence of β for asymptotically long polymers. By excluding fluctuations we also show that monomer crowding at the pore exit cannot have a measurable effect on translocation dynamics under realistic conditions.

Citations