Percolation and jamming in random sequential adsorption of straight k-mers on square, triangular, and cubic lattices.

Koza, Zbigniew; Kondrat, Grzegorz · Phys Rev E · 2025

basic_science · Level V

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Abstract

Random sequential adsorption (RSA) is one of the most widely used theoretical models of macromolecule and particle adsorption. Here we consider jammed (saturated) states of the RSA process of aligned, nonoverlapping k-mers (linear objects occupying k consecutive lattice sites) in square, triangular, and cubic lattices and show that each k-mer in such a state belongs to a percolating cluster. We also discuss several generalizations of our approach, including a hypercubic lattice and models with several different k-mer lengths.