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This study models collapsed polymers in fluid flow, finding that stronger interactions (higher κ) make polymers more resistant to stretching. Relaxation times differ significantly between elongational and shear flows.

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Area of Science:

  • Polymer physics
  • Rheology
  • Soft matter physics

Background:

  • Understanding polymer behavior in complex flows is crucial for materials science and biophysics.
  • Collapsed polymer configurations are common in biological systems and synthetic materials.

Purpose of the Study:

  • To theoretically investigate the response of collapsed polymers to linear mixed flow.
  • To analyze the influence of inter-site interactions (strength κ) on polymer conformation and dynamics.

Main Methods:

  • A theoretical model of a self-interacting finitely extensible Gaussian chain was employed.
  • Stochastic evolution in the presence of thermal fluctuations and fluid velocity gradients was considered.
  • Analytical calculations were performed for various chain properties as a function of κ.

Main Results:

  • Increased interaction strength (κ) hinders flow-induced transitions between compact and extended polymer states.
  • The chain's steady-state mean-square end-to-end distance depends on the flow's Weissenberg number.
  • Relaxation dynamics show distinct differences: elongational flow relaxation is κ-independent, while shear flow relaxation is κ-dependent.

Conclusions:

  • Polymer compactness significantly influences its response to external flow fields.
  • Shear and elongational flows induce different relaxation mechanisms in collapsed polymers.
  • The model provides insights into polymer behavior relevant to simulations and experimental data.