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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Statistical Mechanics

Background:

  • Percolation and critical phenomena exhibit universal scaling behaviors.
  • Critical Casimir forces are effective, long-range interactions experienced by colloidal particles near critical points.
  • The analogy between critical phenomena and percolation suggests potential for similar phenomena in percolation systems.

Purpose of the Study:

  • To investigate the possibility of observing long-range forces near a percolation threshold.
  • To explore the geometric analogue of critical Casimir forces in colloidal systems undergoing percolation.

Main Methods:

  • Numerical evaluation of the effective potential between two colloidal particles in a chemical sol.
  • Development of a theoretical description using a polydisperse Asakura-Oosawa model.

Main Results:

  • The effective potential between colloidal particles becomes attractive and long-ranged as the sol approaches its percolation transition.
  • The theoretical model successfully captures the divergence of the interaction range.
  • The observed forces are interpreted as depletion interactions within a structured solvent.

Conclusions:

  • A novel type of long-range force, analogous to critical Casimir forces, can emerge near percolation transitions in colloidal systems.
  • Colloidal interactions can be tuned by controlling the solvent's clustering properties near its percolation threshold.
  • This finding offers a new perspective on understanding and manipulating colloidal assembly.