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

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.