English

One-dimensional $AB$ random sequential adsorption with one deposition per site

Mathematical Physics 2024-08-12 v1 Statistical Mechanics math.MP

Abstract

We investigate a modified version of the ABAB random sequential adsorption model. Specifically, this model involves the deposition of two distinct types of particles onto a lattice, with the constraint that different types cannot occupy neighboring sites. By restricting the deposition attempts to only one per site, we derive an analytical expression for the average densities of particles of types AA and BB, at all time instances, for all deposition probabilities of each particle type.

Keywords

Cite

@article{arxiv.2306.09786,
  title  = {One-dimensional $AB$ random sequential adsorption with one deposition per site},
  author = {Charles S. do Amaral and Diogo C. dos Santos},
  journal= {arXiv preprint arXiv:2306.09786},
  year   = {2024}
}
R2 v1 2026-06-28T11:07:07.155Z