Noise effects in polymer dynamics

TL;DR

This paper investigates how noise influences the crossing dynamics of a polymer modeled by a stochastic Rouse model, revealing nonmonotonic effects on crossing times and the impact of polymer length.

Contribution

It introduces a stochastic 2D Rouse model to analyze noise effects on polymer crossing dynamics, highlighting nonmonotonic behavior and the role of polymer length.

Findings

Mean first passage time shows nonmonotonic dependence on noise intensity.

Standard deviation of crossing time also exhibits nonmonotonic behavior.

Polymer length significantly affects noise-induced crossing dynamics.

Abstract

The study of the noise induced effects on the dynamics of a chain molecule crossing a potential barrier, in the presence of a metastable state, is presented. A two-dimensional stochastic version of the Rouse model for a flexible polymer has been adopted to mimic the molecular dynamics and to take into account the interactions between adjacent monomers. We obtain a nonmonotonic behavior of the mean first passage time and its standard deviation, of the polymer centre of inertia, with the noise intensity. These findings reveal a noise induced effect on the mean crossing time. The role of the polymer length is also investigated.