Jamming and percolation of linear k -mers on honeycomb lattices

IGLESIAS PANUSKA, G.A.; CENTRES, P.M.; RAMIREZ-PASTOR, A.J.

Physical Review E

American Physical Society

Año: 2020 vol. 102

2470-0045

Numerical simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of elongated objects deposited on two-dimensional honeycomb lattices. The depositing particle is modeled as a linear array of length k (so-called k-mer), maximizing the distance between first and last monomers in the chain. The separation between k-mer units is equal to the lattice constant. Hence, k sites are occupied by a k-mer when adsorbed onto the surface. The adsorption process starts with an initial configuration, where all lattice sites are empty. Then, the sites are occupied following a random sequential adsorption mechanism. The process finishes when the jamming state is reached and no more objects can be deposited due to the absence of empty site clusters of appropriate size and shape. Jamming coverage θj,k and percolation threshold θc,k were determined for a wide range of values of k (2≤k≤128). The obtained results shows that (i) θj,k is a decreasing function with increasing k, being θj,k→∞=0.6007(6) the limit value for infinitely long k-mers; and (ii) θc,k has a strong dependence on k. It decreases in the range 2≤k