Dynamics of Active Polar Ring Polymers

Abstract

The conformational and dynamical properties of isolated semiflexible active polar ring polymers are investigated analytically. A ring is modeled as continuous Gaussian polymer exposed to tangential active forces. The analytical solution of the linear non-Hermitian equation of motion in terms of an eigenfunction expansion shows that ring conformations are independent of activity. In contrast, activity strongly affects the internal ring dynamics and yields characteristic time regimes, which are absent in passive rings. On intermediate time scales, flexible rings show an activity-enhanced diffusive regime, while semiflexible rings exhibit ballistic motion. Moreover, a second active time regime emerges on longer time scales, where rings display a snake-like motion, which is reminiscent to a tank-treading rotational dynamics in shear flow, dominated by the mode with the longest relaxation time.

arXiv comment3 figures; Supplemental Material is attached

References in corpus (24)

• Non-equilibrium clustering of self-propelled rods
• Microrheology, stress fluctuations and active behavior of living cells
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• Fluid Vesicles with Viscous Membranes in Shear Flow
• Self-propelled Worm-like Filaments: Spontaneous Spiral Formation, Structure, and Dynamics
• Non-equilibrium mechanics and dynamics of motor activated gels
• The physics of active polymers and filaments
• Globule-like conformation and enhanced diffusion of active polymers
• Conformational properties of active semiflexible polymers
• Collective behavior of penetrable self-propelled rods in two dimensions
• How does a flexible chain of active particles swell?
• Unusual swelling of a polymer in a bacterial bath
• Flagellar Dynamics of Chains of Active Janus Particles Fueled by an AC electric field
• Activity induced collapse and re-expansion of rigid polymers
• Facilitation of polymer looping and giant polymer diffusivity in crowded solutions of active particles
• Structure and dynamics of a self-propelled semiflexible filament
• Active polymer rings: activity-induced collapse and dynamical arrest
• Phase Separation by Entanglement of Active Polymerlike Worms
• Balance of microtubule stiffness and cortical tension determines the size of blood cells with marginal band across species
• Enhanced diffusion, swelling and slow reconfiguration of a single chain in non-Gaussian active bath
• Conformation and dynamics of a self-avoiding active flexible polymer
• Active Brownian filaments with hydrodynamic interactions: conformations and dynamics
• Statistical properties of a tangentially driven active filament
• Hydrodynamics of polymers in an active bath

Cited by in corpus (5)

• Tangentially Driven Active Polar Linear Polymers -- An Analytical Study
• Active Dynamics of Linear Chains and Rings in Porous Media
• Detailed dynamics of discrete Gaussian semiflexible chains with arbitrary stiffness along the contour
• Excluded volume effects on tangentially driven active ring polymers
• Two-dimensional active polar semiflexible polymer under shear flow