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We reveal universal scaling functions for critical Casimir forces near liquid critical points. This study uniquely considers soft, deformable interfaces, differing from prior work on rigid walls.

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Area of Science:

  • Soft Matter Physics
  • Critical Phenomena
  • Colloid Science

Background:

  • Critical Casimir forces arise from fluctuations in critical fluids.
  • Previous studies focused on rigid confinement, neglecting interface deformation.
  • Understanding forces near liquid-liquid critical points is crucial.

Purpose of the Study:

  • To determine the universal scaling function for effective forces on colloids near a critical interface.
  • To investigate critical Casimir forces with soft, shape-responsive interfaces.
  • To compare force behavior with deformable versus rigid interfaces.

Main Methods:

  • Mean-field theory calculations.
  • Semi-analytical methods to model colloid-interface interactions.
  • Analysis of universal scaling functions.

Main Results:

  • The effective force on a colloid near a deformable critical interface is accurately described by a universal scaling function.
  • The colloid-induced deformation of the interface is key to describing the interaction potential.
  • The scaling function for deformable interfaces differs from that for rigid walls.

Conclusions:

  • Soft, deformable interfaces significantly alter critical Casimir forces compared to rigid ones.
  • The study provides a new framework for understanding colloid interactions in critical fluids.
  • This work opens avenues for exploring Casimir forces in systems with responsive boundaries.