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arXiv · 2006.06839

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

A. P. Furlan·Diogo C. dos Santos·Robert M. Ziff·Ronald Dickman
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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 $V_{\rm max}=2$. 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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A. P. Furlan, Diogo C. dos Santos, Robert M. Ziff, Ronald Dickman. 2020-06-11. Jamming and percolation of dimers in restricted-valence random sequential adsorption. https://doi.org/10.1103/physrevresearch.2.043027

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