# Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices

@article{Lebrecht2019AnalyticalAO, title={Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices}, author={Wolfram Lebrecht and Paulo M. Centres and Antonio Jos{\'e} Ramirez-Pastor}, journal={Physica A: Statistical Mechanics and its Applications}, year={2019} }

## 6 Citations

### Analytical approximation of the inverse percolation thresholds for dimers on square, triangular and honeycomb lattices

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

In this paper, an analytical approach to calculate inverse percolation thresholds in two-dimensional lattices is proposed. The new theoretical framework is obtained as a generalization of the…

### New bounds for the site percolation threshold of the hexagonal lattice

- Computer ScienceJournal of Physics A: Mathematical and Theoretical
- 2022

The site percolation threshold of the hexagonal lattice satisfies 0.656 246 < p c < 0.739 695, and this bound is obtained by using the substitution method to compare the hexagon lattice site model to an exactly-solved two-parameter site perColation model on the martini lattice.

### Random sequential adsorption: An efficient tool for investigating the deposition of macromolecules and colloidal particles.

- Computer ScienceAdvances in colloid and interface science
- 2022

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

- Materials ScienceThe European Physical Journal B
- 2022

We consider the percolation model with nucleation and simultaneous growth of multiple finite clusters, taking the initial seed concentration ρ\documentclass[12pt]{minimal} \usepackage{amsmath}…

### Geometrical patterning of receptor sites controls kinetics via many-body effects in bivalent systems

- BiologyPhysical Review Research
- 2022

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