Jamming limiting the percolation of square tiles on square lattices

VOGEL, E. E.; CENTRES, P. M.; RAMIREZ PASTOR, A. J.; VALDES, JULIO

Encuentro; APS March Meeting 2019; 2019

Square tiles of k×k sites (k2-mers) are deposited irreversibly on L×L square lattices of exactly the same intersite distance; no overlapping is allowed. Coverage is defined as q=Nk2/L2, where N represents the number of deposited tiles. Percolation thresholds qp(k) are reported with high precision for k=1,2, and 3. For k≥4 jamming suppresses percolation. The coverages at which jamming appears qj(k) are also reported accurately [1]. It is observed that qp(2)