Jamming and percolation in random sequential adsorption of straight rigid rods on a two-dimensional triangular lattice

Abstract

Monte Carlo simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of linear $k$-mers (also known as rods or needles) on the two-dimensional triangular lattice, considering an isotropic RSA process on a lattice of linear dimension $L$ and periodic boundary conditions. Extensive numerical work has been done to extend previous studies to larger system sizes and longer $k$-mers, which enables the confirmation of a nonmonotonic size dependence of the percolation threshold and the estimation of a maximum value of $k$ from which percolation would no longer occurs. Finally, a complete analysis of critical exponents and universality have been done, showing that the percolation phase transition involved in the system is not affected, having the same universality class of the ordinary random percolation.

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References in corpus (4)

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• Impact of defects on percolation in random sequential adsorption of linear k-mers on square lattice
• What is the time scale of random sequential adsorption?
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Cited by in corpus (9)

• Percolation and jamming of random sequential adsorption samples of large linear $k$-mers on a square lattice
• Jamming and percolation properties of random sequential adsorption with relaxation
• Random sequential adsorption on Euclidean, fractal and random lattices
• Jamming and percolation of $k^2$-mers on simple cubic lattices
• Two-dimensional systems of elongated particles: From diluted to dense
• Jamming and percolation of dimers in restricted-valence random sequential adsorption
• Connectedness percolation in the random sequential adsorption packings of elongated particles
• Percolation of aligned rigid rods on two-dimensional triangular lattices
• Confinement effects on the random sequential adsorption packings of elongated particles in a slit