Percolation and jamming properties in particle shape-controlled seeded growth model

D. Dujak, A. Karač, Lj. Budinski-Petković, Z. M. Jakšić and S. B. Vrhovac ()
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D. Dujak: University of Sarajevo
A. Karač: University of Zenica
Lj. Budinski-Petković: Faculty of Engineering
Z. M. Jakšić: Institute of Physics Belgrade, University of Belgrade
S. B. Vrhovac: Institute of Physics Belgrade, University of Belgrade

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 9, 1-16

Abstract: Abstract We consider the percolation model with nucleation and simultaneous growth of multiple finite clusters, taking the initial seed concentration $$\rho $$ ρ as a tunable parameter. Growing objects expand with constant speed, filling the nodes of the triangular lattice according to rules that control their shape. As growing objects of predefined shape, we consider needle-like objects and “wrapping” objects whose size is gradually increased by wrapping the walks in several different ways, making triangles, rhombuses, and hexagons. Growing random walk chains are also analyzed as an example of objects whose shape is formed randomly during the growth. We compare the percolation properties and jamming densities of the systems of various growing shapes for a wide range of initial seed densities $$\rho

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00401-1

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