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.

arXiv comment5 pages, 2 figures, RevTex 4.1

References in corpus (16)

• Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
• Percolation and jamming in random sequential adsorption of linear segments on square lattice
• A New Universality for Random Sequential Deposition of Needles
• Percolation in suspensions of hard nanoparticles: From spheres to needles
• Percolation of linear $k$-mers on square lattice: from isotropic through partially ordered to completely aligned state
• Quasiuniversal connectedness percolation of polydisperse rod systems
• Impact of defects on percolation in random sequential adsorption of linear k-mers on square lattice
• Percolation and jamming of random sequential adsorption samples of large linear $k$-mers on a square lattice
• Dimer percolation and jamming on simple cubic lattice
• Jammed systems of oriented needles always percolate on square lattices
• Diffusion-driven self-assembly of rod-like particles: Monte Carlo simulation on a square lattice
• Jamming and percolation of $k^3$-mers on simple cubic lattices
• Random geometric graph description of connectedness percolation in rod systems
• Jamming and percolation of $k^2$-mers on simple cubic lattices
• Interplay between thermal percolation and jamming upon dimer adsorption on binary alloys
• Critical p=1/2 in percolation on semi-infinite strips