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Percolation and jamming of random sequential adsorption samples of large linear k-mers on a square lattice
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2018. Vol. 98. No. 6. P. 062130-1–062130-8.
Слуцкий М. Г., Barash L., Тарасевич Ю. Ю.
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 k-mers on a square lattice with periodic boundary conditions. We have obtained the percolation thresholds and jamming concentrations for lengths of k-mers up to 2^{17}. A large k 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.
Priority areas:
IT and mathematics
Language:
English
Publication based on the results of:
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