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Percolation of linear k-mers on a square lattice: from isotropic through partially ordered to completely aligned states.

A fitting formula for percolation threshold, p(c) = a/k(α)+blog(10)k+c, where a, b, c, and α are the fitting parameters depending on anisotropy, is proposed and it is predicted that for large k-mers, isotropically placed at the lattice, percolations cannot occur, even at jamming concentration.
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An Investigation of Site-Bond Percolation on Many Lattices

It is shown here that there are strong deviations from the known approximate equations in the line of threshold values, and an alternative parametrization is proposed that lies much closer to the numerical values.
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Random sequential adsorption of partially ordered discorectangles onto a continuous plane.

The anisotropic deposition, i.e., the orientations of the deposited particles were uniformly distributed within some interval such that the particles were preferentially aligned along a given direction, was studied to study the changes in the packing fraction found at different values of such the alignment.
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Network analysis of the novel The Master and Margarita

The network analysis of the structure of social relationships in one of the most popular in Russian novels of the Soviet era by M. A. Bulgakov The Master and Margarita was carried out. The structure…

Random sequential adsorption of partially oriented linear k-mers on a square lattice.

Investigation of jamming phenomena on a square lattice for two different models of anisotropic random sequential adsorption of linear k-mers found that denser configurations are observed in disordered systems as compared to those of completely ordered systems.
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Electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice.

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Dimer percolation and jamming on simple cubic lattice

Abstract.We consider site percolation of dimers (“needles”) on simple cubic lattice. The percolation threshold is estimated as pcperc ≈ 0.2555 ± 0.0001. The jamming threshold is estimated as pcjamm =…
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Vertical drying of a suspension of sticks: Monte Carlo simulation for continuous two-dimensional problem.

The vertical drying of a two-dimensional colloidal film containing zero-thickness sticks ( lines) was studied by means of kinetic Monte Carlo (MC) simulations and significant evaporation-driven self-assembly and stratification of the sticks in the vertical direction was observed.
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Effect of tunneling on the electrical conductivity of nanowire-based films: Computer simulation within a core–shell model

We have studied the electrical conductivity of two-dimensional nanowire networks. An analytical evaluation of the contribution of tunneling to their electrical conductivity suggests that it is…
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Percolation of aligned dimers on a square lattice

AbstractPercolation and jamming phenomena were investigated for anisotropic sequential deposition of dimers (particles occupying two adjacent adsorption sites) on a square lattice. The influence of…
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