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- W2896059120 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 $k$-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 $2^{17}$. New 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 G.~Kondrat, Z.~Koza, and P.~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 percolating cluster and that percolation occurs before jamming." @default.
- W2896059120 created "2018-10-26" @default.
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- W2896059120 date "2018-12-20" @default.
- W2896059120 modified "2023-10-06" @default.
- W2896059120 title "Percolation and jamming of random sequential adsorption samples of large linear<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>k</mml:mi></mml:math>-mers on a square lattice" @default.
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- W2896059120 doi "https://doi.org/10.1103/physreve.98.062130" @default.
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