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)2470-004510.1103/PhysRevE.96.022154] 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 …

Date

2018

Authors

MG Slutskii, L Yu Barash, Yu Yu Tarasevich

Journal

Physical Review E

Volume

98

Issue

6

Pages

062130

Publisher

American Physical Society