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Percolation in two-species antagonistic random sequential adsorption in two dimensions.

Paulo H L Martins1, Ronald Dickman2, Robert M Ziff3

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This study investigates two-species random sequential adsorption (RSA) on a lattice. Researchers found that at a critical probability, species A or blocked sites percolate, consistent with ordinary percolation.

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Area of Science:

  • Physics
  • Chemistry
  • Materials Science

Background:

  • Random sequential adsorption (RSA) is a fundamental process in surface science.
  • Understanding particle interactions and lattice constraints is crucial for predicting material properties.

Purpose of the Study:

  • To analyze the percolation transition in a two-species RSA model with nearest-neighbor exclusion.
  • To investigate the jamming behavior and saturation coverages of adsorbing species.
  • To identify methods for accurately determining the percolation transition point.

Main Methods:

  • Simulations of two-species random sequential adsorption on a lattice.
  • Analysis of percolation phenomena, including size-distribution exponent and wrapping probabilities.
  • Derivation of exact results for low-concentration jamming behavior.

Main Results:

  • A critical probability (x_A ≈ 0.626441) was identified for percolation of species A or blocked sites.
  • The percolation transition aligns with ordinary percolation universality class.
  • Exact formulas for saturation coverages (θ_A, θ_B) at low species B concentration were derived.

Conclusions:

  • The study provides insights into the critical behavior of interacting adsorbate systems.
  • Differences in cluster properties can serve as accurate indicators of percolation transitions.
  • The findings are relevant for modeling surface processes and designing materials with specific adsorption properties.