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Patterning of Microorganisms and Microparticles through Sequential Capillarity-assisted Assembly

Patterning of Microorganisms and Microparticles through Sequential Capillarity-assisted Assembly

Published on: November 4, 2021

Percolation in random sequential adsorption of extended objects on a triangular lattice.

Lj Budinski-Petković¹, I Lončarević, M Petković

¹Faculty of Engineering, Trg D. Obradovića 6, Novi Sad 21000, Serbia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 26, 2012

Summary

This study explores random sequential adsorption on a triangular lattice using Monte Carlo simulations. Results show how object shape and size influence percolation thresholds and jamming coverage in these systems.

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Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Random sequential adsorption (RSA) is a fundamental process for understanding how surfaces are covered by particles.
Percolation theory describes the formation of connected clusters in random systems.
Extended objects on lattices present complex packing and connectivity behaviors.

Purpose of the Study:

To investigate the percolation properties of self-avoiding extended objects undergoing RSA on a triangular lattice.
To determine the jamming coverage (θjam) and percolation threshold (θp) for objects of varying shapes and sizes.
To analyze the impact of object geometry and polydispersity on percolation phenomena.

Main Methods:

Monte Carlo simulations were employed to model the adsorption process.
Self-avoiding lattice steps were used to construct depositing objects of different shapes and sizes.
Jamming coverage and percolation thresholds were systematically calculated.

Main Results:

The percolation threshold (θp) shows a complex dependence on object size, influenced by local geometry.
More compact shapes exhibit higher percolation thresholds (θp) than elongated shapes of the same length.
In polydisperse mixtures, increasing component diversity decreases percolation threshold but increases jamming coverage.

Conclusions:

Object geometry and size are critical factors governing percolation in RSA systems.
Polydispersity can be used to tune jamming and percolation properties.
The findings provide insights into the statistical mechanics of disordered surface phenomena.