Percolation and jamming properties in limited grain growth of linear objects

Abstract

A percolation model with nucleation and simultaneous growth of multiple finite clusters on triangular lattices with imposed length limits was investigated. Growing needle-shaped objects expand at constant speed, filling lattice nodes according to rules controlling their shape. The values of the percolation threshold and jamming density are identical for k'≥10k, suggesting that growth limitations stabilize these physical properties across the tested configurations.