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Area of Science:

  • Soft matter physics
  • Fluid dynamics
  • Materials science

Background:

  • Heterogeneous fluid interfaces often contain 2D solid domains.
  • The mechanical response of rigid inclusions to interfacial curvature is known.
  • The behavior of elastic inclusions in curved interfaces is largely unexplored.

Purpose of the Study:

  • Investigate the influence of elasticity on solid inclusions in curved fluid interfaces.
  • Characterize the curvature-driven motion of deformable solids.
  • Explore the distinct behaviors of inclusions based on size and stiffness.

Main Methods:

  • Theoretical calculations of forces on solid inclusions.
  • Analysis of inclusion behavior in bending- and stretching-limited regimes.
  • Modeling deformable solids within a variable Gaussian curvature interface.

Main Results:

  • Small, stiff inclusions move up Gaussian curvature gradients (bending-limited).
  • Larger, softer inclusions move down squared Gaussian curvature gradients (stretching-limited).
  • Calculated forces collapse onto a universal curve across regimes.

Conclusions:

  • Inclusion size and stiffness dictate motion direction in curved interfaces.
  • Elasticity introduces distinct behaviors compared to rigid inclusions.
  • Predictions are made for deformable solid motion in model interfaces.