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Colloids03:22

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Creating Two-Dimensional Patterned Substrates for Protein and Cell Confinement
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Percolation of functionalized colloids on patterned substrates.

Lucas L Treffenstädt1, Nuno A M Araújo, Daniel de Las Heras

  • 1Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany. delasheras.daniel@gmail.com.

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Summary

We investigated how patterned substrates affect colloidal particle systems. Substrate patterns can surprisingly increase or decrease percolation thresholds, leading to reentrant behavior in particle networks.

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Area of Science:

  • Colloid science
  • Statistical physics
  • Materials science

Background:

  • Colloidal systems are fundamental in materials science.
  • Understanding their assembly and network formation is crucial.
  • Patterned substrates offer a way to control colloidal self-assembly.

Purpose of the Study:

  • To investigate the percolation properties of functionalized colloids on patterned substrates.
  • To analyze the influence of substrate pattern geometry and potential on percolation thresholds.
  • To explore the reentrant behavior of percolation in these systems.

Main Methods:

  • Monte Carlo simulations were employed.
  • Colloidal particles were modeled as hard disks with attractive patches.
  • Substrate patterns were defined as circular potential wells on square or hexagonal lattices.

Main Results:

  • Percolation threshold exhibited nonmonotonic behavior with respect to well radius.
  • Attractive wells increased the threshold for non-overlapping wells and decreased it for overlapping wells.
  • Repulsive wells showed the opposite trend.
  • Structural and bond defects at high packing fractions suppressed percolation, leading to reentrant behavior.

Conclusions:

  • Substrate patterning significantly influences colloidal percolation.
  • The interplay between particle interactions and substrate geometry dictates network formation.
  • Reentrant percolation phases were observed, highlighting complex phase behavior in confined colloidal systems.