Translocation of a polymer chain driven by a dichotomous noise

TL;DR

This paper investigates how a polymer translocates through a pore under the influence of a motor driven by dichotomous noise, analyzing translocation time, velocity, and stall force as functions of driving frequency.

Contribution

It introduces a model of polymer translocation driven by dichotomous noise and explores the effects of driving frequency and elastic constant on translocation dynamics.

Findings

Translocation time increases monotonically with frequency.

Mean velocity peaks at a specific frequency.

Stall force exhibits a nonmonotonic behavior with a minimum.

Abstract

We consider the translocation of a one-dimensional polymer through a pore channel helped by a motor driven by a dichotomous noise with time exponential correlation. We are interested in the study of the translocation time, mean velocity and stall force of the system as a function of the mean driving frequency. We find a monotonous translocation time, in contrast with the mean velocity which shows a pronounced maximum at a given frequency. Interestingly, the stall force shows a nonmonotonic behavior with the presence of a minimum. The influence of the spring elastic constant to the mean translocation times and velocities is also presented.