Theory of polymer translocation through a flickering nanopore under an alternating driving force

Abstract

We develop a theory for polymer translocation driven by a time-dependent force through an oscillating nanopore. To this end, we extend the iso-flux tension propagation theory (IFTP) [Sarabadani \textit{et al., J. Chem. Phys.}, 2014, \textbf{141}, 214907] for such a setup. We assume that the external driving force in the pore has a component oscillating in time, and the flickering pore is similarly described by an oscillating term in the pore friction. In addition to numerically solving the model, we derive analytical approximations that are in good agreement with the numerical simulations. Our results show that by controlling either the force or pore oscillations, the translocation process can be either sped up or slowed down depending on the frequency of the oscillations and the characteristic time scale of the process. We also show that while in the low and high frequency limits the translocation time $\tau$ follows the established scaling relation with respect to chain length $N_0$, in the intermediate frequency regime small periodic fluctuations can have drastic effects on the dynamical scaling. The results can be easily generalized for non-periodic oscillations and elucidate the role of time dependent forces and pore oscillations in driven polymer translocation.

11 pages

References in corpus (10)

• Nonequilibrium dynamics of polymer translocation and straightening
• Sequence dependence of DNA translocation through a nanopore
• Driven polymer translocation through a nanopore: a manifestation of anomalous diffusion
• Comment on ``Passage Times for Unbiased Polymer Translocation through a Narrow Pore''
• Dynamical Scaling Exponents for Polymer Translocation through a Nanopore
• Dynamics of forced biopolymer translocation
• Iso-Flux Tension Propagation Theory of Driven Polymer Translocation: The Role of Initial Configurations
• Translocation through environments with time dependent mobility
• Driven translocation of a polymer: role of pore friction and crowding
• Criteria for minimal model of driven polymer translocation

Cited by in corpus (11)

• Theory of pore-driven and end-pulled polymer translocation dynamics through a nanopore: An overview
• Local and global dynamics in polypropylene glycol / silica composites
• Polymer translocation through nano-pores in vibrating thin membranes
• Dynamics of end-pulled polymer translocation through a nanopore
• Polymer translocation through nanopore assisted by an environment of active rods
• Antiresonant driven systems for particle manipulation
• Pulling a DNA molecule through a nanopore embedded in an anionic membrane: tension propagation coupled to electrostatics
• Frequency-control of protein translocation across an oscillating nanopore
• End-pulled polymer translocation through a many-body flexible pore
• Polymer translocation driven by longitudinal and transversal time-dependent end-pulling forces
• Theoretical modeling of polymer translocation: From the electrohydrodynamics of short polymers to the fluctuating long polymers