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Dynamics of a polymer under multi-gradient fields.

Sadhana Singh1, Sanjay Kumar1

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This study reveals polymer chain transport dynamics under multi-gradient fields. Tumbling frequency scales with Weissenberg number (Wi), with deviations from Poisson behavior at high Wi.

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Area of Science:

  • Soft Matter Physics
  • Polymer Physics
  • Computational Fluid Dynamics

Background:

  • Understanding polymer chain behavior in complex flow fields is crucial for materials science.
  • Multi-gradient fields introduce unique challenges to polymer dynamics, affecting transport and conformation.
  • Previous studies have explored shear flow effects, but the interplay with solvent quality gradients is less understood.

Purpose of the Study:

  • To investigate the effects of multi-gradient fields on polymer chain transport.
  • To characterize the tumbling dynamics and angular tumbling time distribution of polymer chains.
  • To explore the influence of shear flow and solvent quality gradients on polymer behavior.

Main Methods:

  • Langevin dynamics simulations were employed to model polymer chain transport.
  • Analysis focused on tumbling frequency, angular tumbling time distribution, and scaling laws.
  • Simulations considered the competition between velocity and solvent quality gradients.

Main Results:

  • Polymer chain tumbling frequency exhibits Wi0.66 scaling, where Wi is the Weissenberg number.
  • Angular tumbling time distributions show exponentially decaying tails, deviating from Poisson behavior at high Wi.
  • A novel scaling law for tumbling time distribution emerges from the interplay of shear and solvent quality gradients. Unusual behavior observed at low temperatures, with decay rate decreasing with Wi at intermediate shear rates.

Conclusions:

  • Multi-gradient fields significantly influence polymer chain transport and tumbling dynamics.
  • The observed scaling laws provide insights into polymer behavior under competing flow and interaction gradients.
  • Further research is needed to fully elucidate the complex dynamics at low temperatures and intermediate shear rates.