Jamming and percolation of dimers in restricted-valence random sequential adsorption

Abstract

Restricted-valence random sequential adsorption is studied in its pure and disordered versions on the square and triangular lattices. For the simplest case (pure on the square lattice) we prove the absence of percolation for maximum valence V_{max}=2. In other cases, Monte Carlo simulations are used to investigate the percolation threshold, universality class, and jamming limit. Our results reveal a continuous transition for the majority of the cases studied. The percolation threshold is computed through finite-size scaling analysis of seven properties; its value increases with the average valency. Scaling plots and data-collapse analyses show that the transition belongs to the standard percolation universality class even in disordered cases.