Jamming and percolation in generalized models of random sequential adsorption of linear k-mers on a square lattice

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Nikolai I LebovkaNikolai V Vygornitskii

Abstract

The jamming and percolation for two generalized models of random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent sites) on a square lattice are studied by means of Monte Carlo simulation. The classical RSA model assumes the absence of overlapping of the new incoming particle with the previously deposited ones. The first model is a generalized variant of the RSA model for both k-mers and a lattice with defects. Some of the occupying k adjacent sites are considered as insulating and some of the lattice sites are occupied by defects (impurities). For this model even a small concentration of defects can inhibit percolation for relatively long k-mers. The second model is the cooperative sequential adsorption one where, for each new k-mer, only a restricted number of lateral contacts z with previously deposited k-mers is allowed. Deposition occurs in the case when z≤(1-d)z(m) where z(m)=2(k+1) is the maximum numbers of the contacts of k-mer, and d is the fraction of forbidden contacts. Percolation is observed only at some interval k(min)≤k≤k(max) where the values k(min) and k(max) depend upon the fraction of forbidden contacts d. The value k(max) decreases as d increases. A logarithmic dependence of the t...Continue Reading

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Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuri Yu TarasevichNikolai I Lebovka

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Citations

Oct 16, 2016·Physical Review. E·M C Gimenez, A J Ramirez-Pastor
Sep 15, 2016·Physical Review. E·R C Hart, F D A Aarão Reis
Jan 14, 2017·Physical Review. E·Nikolai I LebovkaYuri Yu Tarasevich
Jun 18, 2017·Physical Review. E·Nikolai I LebovkaNikolai V Vygornitskii
Mar 17, 2017·Physical Review. E·Lj Budinski-PetkovićS B Vrhovac
Feb 20, 2020·Physical Review. E·I LončarevićS B Vrhovac

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