Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous soli...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/14206 |
| Acesso em linha: | http://hdl.handle.net/11336/14206 |
| Access Level: | acceso abierto |
| Palavra-chave: | Percolation Problems Jamming Problems Linear K-Mers Disordered Lattices https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Resumo: | Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous solids, where the presence of defects in the system is simulated by introducing a fraction of imperfect bonds ρ, which are considered forbidden for deposition.The dependence of percolation and jamming thresholds on the concentration of defects was investigated for dierent values of k, ranging from 2 to 64. Theresults obtained show that: for each fixed value of k, percolation can occur when ρ is smaller than a certain value ρ*_k; and in the range 0<ρ<ρ*_k, the percolation threshold is practically independent of the fraction of defects. The behavior of ρ*_k as a function of k indicates that the percolation of linear k-mers on square lattices is impossible even for an ideal lattice if k ⪆ 5500. Critical exponents were also calculated to show that the universality class corresponding to ordinary percolation is preserved. |
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