Dimer percolation and jamming on simple cubic lattice

Abstract

We consider site percolation of dimers (``neadles'') on simple cubic lattice. The percolation threshold is estimated as $p_c^{\text{perc}}\approx 0.2555\pm 0.0001$. The jamming threshold is estimated as $p_c^{\text{jamm}}=0.799\pm 0.002$.

3 pages, 4 figures, submitted to EPJB

References in corpus (3)

• Percolation and jamming in random sequential adsorption of linear segments on square lattice
• A New Universality for Random Sequential Deposition of Needles
• On the fluctuations of jamming coverage upon random sequential adsorption on homogeneous and heterogeneous media

Cited by in corpus (6)

• Percolation of disordered jammed sphere packings
• Universal condition for critical percolation thresholds of kagome-like lattices
• Jammed systems of oriented needles always percolate on square lattices
• Percolation in Networks with Voids and Bottlenecks
• Jamming and percolation of $k^3$-mers on simple cubic lattices
• Jammed systems of oriented dimers always percolate on hypercubic lattices