Abstract
The behavior of the percolation threshold and the jamming coverage for isotropic random sequential adsorption samples has been studied by means of numerical simulations. A parallel algorithm that is very efficient in terms of its speed and memory usage has been developed and applied to the model involving large linear -mers on a square lattice with periodic boundary conditions. We have obtained the percolation thresholds and jamming concentrations for lengths of -mers up to . A large regime of the percolation threshold behavior has been identified. The structure of the percolating and jamming states has been investigated. The theorem of Kondrat, Koza, and Brzeski [Phys. Rev. E 96, 022154 (2017)] has been generalized to the case of periodic boundary conditions. We have proved that any cluster at jamming is a percolating cluster and that percolation occurs before jamming.
3 More- Received 15 October 2018
DOI:https://doi.org/10.1103/PhysRevE.98.062130
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