Translocation time of periodically forced polymer chains

Abstract

We show the presence of both a minimum and clear oscillations in the frequency dependence of the translocation time of a polymer described as a unidimensional Rouse chain driven by a spatially localized oscillating linear potential. The observed oscillations of the mean translocation time arise from the synchronization between the very mean translocation time and the period of the external force. We have checked the robustness of the frequency value for the minimum translocation time by changing the damping parameter, finding a very simple relationship between this frequency and the correspondent translocation time. The translocation time as a function of the polymer length has been also evaluated, finding a precise $L^2$ scaling. Furthermore, the role played by the thermal fluctuations described as a Gaussian uncorrelated noise has been also investigated, and the analogies with the resonant activation phenomenon are commented.

7 pages, 11 figures. Physical Review E (in press)

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• Modeling the mechano-chemistry of the ϕ29 DNA translocation motor
• Force spectroscopy analysis in polymer translocation
• End-pulled polymer translocation through a many-body flexible pore
• Polymer translocation driven by longitudinal and transversal time-dependent end-pulling forces