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