Dimer percolation and jamming on simple cubic lattice

TL;DR

This paper investigates the percolation and jamming thresholds of dimers on a simple cubic lattice, providing precise estimates for both phenomena through computational analysis.

Contribution

It offers the first precise estimates of percolation and jamming thresholds for dimers on a simple cubic lattice.

Findings

Percolation threshold estimated at approximately 0.2555

Jamming threshold estimated at approximately 0.799

Provides accurate numerical values for thresholds

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 $p_c^\text{jamm} = 0.799 \pm 0.002$.