Jammed systems of oriented dimers always percolate on hypercubic lattices

Abstract

Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Here we consider jammed states of the RSA process of nonoverlapping dimers (objects occupying two nearest-neighbor lattice sites) in a hypercubic lattice of arbitrary space dimension $D\ge 2$. We show that each dimer in such a state belongs to a percolating cluster.

5 pages, 2 figures, RevTex 4.1