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Active polar ring polymer in shear flow-An analytical study.

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|August 8, 2024
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Summary
This summary is machine-generated.

Semiflexible active polar ring polymers under shear flow exhibit dynamics independent of activity. Their behavior mirrors passive rings, with tank-treading motion emerging at high activity and stiffness, transitioning to relaxation-dominated dynamics at high shear rates.

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Area of Science:

  • Polymer physics
  • Soft matter physics
  • Rheology

Background:

  • Active polymers exhibit self-propulsion, influencing their dynamics.
  • Ring polymers present unique conformational and topological properties.
  • Shear flow significantly alters polymer behavior and solution properties.

Purpose of the Study:

  • Investigate the conformational and dynamical properties of semiflexible active polar ring polymers.
  • Analyze the influence of activity and shear flow on polymer dynamics.
  • Determine the conditions for emergent behaviors like tank-treading and tumbling.

Main Methods:

  • Theoretical study using a continuous semiflexible Gaussian polymer model.
  • Incorporation of a tangential active force along the polymer contour.
  • Solution of the non-Hermitian equation of motion via eigenfunction expansion.

Main Results:

  • Activity-independent relaxation times and shear-rate-dependent frequencies observed.
  • Stationary-state properties and conformations match passive rings under shear.
  • Tank-treading motion emerges for stiff rings at high activity and long relaxation times.
  • Shear flow induces a crossover to relaxation-dominated dynamics and tumbling motion at high rates.

Conclusions:

  • The dynamics of semiflexible active polar rings under shear are complex, influenced by activity, stiffness, and shear rate.
  • Emergent behaviors like tank-treading are sensitive to these parameters, with shear flow playing a critical role in dynamics.
  • Understanding these active polymer dynamics is crucial for designing novel materials and understanding biological processes.