Abstract

The conformational properties of flexible and semiflexible polymers exposed to active noise are studied theoretically. The noise may originate from the interaction of the polymer with surrounding active (Brownian) particles or from the inherent motion of the polymer itself, which may be composed of active Brownian particles. In the latter case, the respective monomers are independently propelled in directions changing diffusively. For the description of the polymer, we adopt the continuous Gaussian semiflexible polymer model. Specifically, the finite polymer extensibility is taken into account, which turns out to be essential for the polymer conformations. Our analytical calculations predict a strong dependence of the relaxation times on the activity. In particular, semiflexible polymers exhibit a crossover from a bending elasticity-dominated dynamics to the flexible polymer dynamics with increasing activity. This leads to a significant activity-induced polymer shrinkage over a large range of self-propulsion velocities. For large activities, the polymers swell and their extension becomes comparable to the contour length. The scaling properties of the mean square end-to-end distance with respect to the polymer length and monomer activity are discussed.

Highlights

  • A distinctive characteristic of active matter is the conversion of internal chemical energy into, or utilization of energy from the environment for, directed motion [1,2,3,4,5,6,7,8,9]

  • We adopt a mean-field model for a semiflexible polymer [82,94,96,97,98,99], which is denoted as Gaussian semiflexible polymer (GSFP), complemented by the activity of the monomers (GSFAP)

  • We have presented an analytical approach to study the conformational and dynamical properties of active semiflexible polymers

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Summary

Introduction

A distinctive characteristic of active matter is the conversion of internal chemical energy into, or utilization of energy from the environment for, directed motion [1,2,3,4,5,6,7,8,9]. The (theoretical) analysis of the nonequilibrium behavior of flexible and semiflexible polymers, e.g., under shear flow [73,74,75,76,77,78] or during stretching [79,80,81,82,83,84,85,86,87,88,89,90,91,92,93], reveals the paramount importance of the finite polymer extensibility We expect this intrinsic polymer property to be essential for polymers comprising active monomers. The conformational properties of flexible and semiflexible active Brownian polymers (ABPO) are studied analytically. Models without the constraint of a finite contour length, e.g., the standard Rouse model [95], would by no means be able to reproduce and capture the correct structural and dynamical aspects

Model of Active Polymer
Solution of Equation of Motion
Center-of-Mass Motion
Lagrangian Multiplier
Relaxation Times
Mean Square End-to-End Distance
Summary and Conclusions
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