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Random sequential adsorption on mobile patches.

Diogo E P Pinto1, Nuno A M Araújo1

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This study introduces an extended random sequential adsorption model for particle adsorption on patches. Jammed-state coverage depends only on the flux-to-diffusion ratio (F/D), not individual parameters.

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Area of Science:

  • Colloid science
  • Surface chemistry
  • Statistical physics

Background:

  • Investigates particle adsorption onto a substrate with mobile patches.
  • Inspired by DNA-functionalized colloidal particles covering oil droplets.
  • Addresses irreversible adsorption and monolayer formation.

Purpose of the Study:

  • To extend the random sequential adsorption model for patch adsorption.
  • To analyze adsorption kinetics and jammed-state morphology.
  • To understand the influence of particle flux and patch diffusion on coverage.

Main Methods:

  • Utilized Monte Carlo simulations on a one-dimensional lattice.
  • Developed a mean-field calculation for theoretical validation.
  • Analyzed adsorption kinetics and final jammed-state configurations.

Main Results:

  • Jammed-state coverage is independent of individual flux (F) and diffusion (D) values.
  • Coverage is determined solely by the ratio F/D.
  • Observed distinct regimes for coverage dependence on particle size at low and high patch densities.

Conclusions:

  • The F/D ratio is the critical parameter for jammed-state coverage in this model.
  • Mean-field theory effectively captures the observed coverage behavior.
  • Particle size influences jammed-state coverage differently based on patch density.