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Random sequential adsorption of oriented rectangles with random aspect ratio.

Luca Petrone¹, Michał Cieśla²

¹via B. Cesana 6, 20132 Milano, Italy.

Physical Review. E

|October 16, 2021

Summary

This study introduces a new algorithm for random sequential adsorption (RSA) of rectangles, revealing packing fractions and growth kinetics. The research details how rectangle anisotropy evolves during packing, offering insights into surface phenomena.

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Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Random sequential adsorption (RSA) is a fundamental process for understanding how particles arrange on surfaces.
Previous models often simplify particle shapes or orientations, limiting applicability to complex systems.

Purpose of the Study:

To develop and utilize a novel algorithm for simulating strictly saturated packings of parallel rectangles with random aspect ratios.
To investigate the impact of aspect ratio distributions on packing fraction and microstructure.
To analyze the kinetics of packing growth and its relation to surface coverage.

Main Methods:

Development of a new algorithm for generating saturated packings of parallel rectangles.
Simulation of random sequential adsorption with varying aspect ratio distributions.
Analysis of packing fraction, anisotropy evolution, and growth kinetics.
Evaluation of microstructural properties using the two-point density correlation function.

Main Results:

Determined saturated packing fractions for different aspect ratio distributions.
Observed evolving anisotropy of deposited rectangles during the packing process.
Identified power-law kinetics (exponent 1/d≈1/3) near saturation, consistent with RSA of anisotropic shapes.
Characterized low-coverage kinetics using the available surface function concept.

Conclusions:

The developed algorithm enables the generation of strictly saturated packings for parallel rectangles with random aspect ratios.
Rectangle anisotropy significantly influences packing density and structure.
The observed kinetics align with theoretical predictions for anisotropic particle adsorption on 2D surfaces.