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

Abstract

Restricted-valence random sequential adsorption~(RSA) 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

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Cited by in corpus (4)

• Breaking universality in random sequential adsorption on a square lattice with long-range correlated defects
• Jamming and percolation in the random sequential adsorption of a binary mixture on the square lattice
• Percolation in two-species antagonistic random sequential adsorption in two dimensions
• Exact finite-size corrections in the dimer model on a cylinder