Random sequential adsorption of oriented rectangles with random aspect ratio

Luca Petrone and Michał Cieśla
Phys. Rev. E 104, 034903 – Published 27 September 2021

Abstract

We studied random sequential adsorption (RSA) of parallel rectangles with random aspect ratio but fixed area using a newly developed algorithm that allows to generate strictly saturated packing of this kind. We determined saturated packing fraction for several different distributions of a random variable used for selecting side length ratio of deposited rectangles. It was also shown that the anisotropy of deposited rectangles changes during packing generation. Additionally, we examined the kinetics of packing growth, which near saturation obeys the power law with the exponent 1/d1/3, typical for the RSA of unoriented anisotropic shapes on a two-dimensional surface. Kinetics in the low coverage limit is determined using the concept of the available surface function. The microstructural properties of obtained random packings are evaluated in terms of two-point density correlation function.

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  • Received 9 June 2021
  • Accepted 6 September 2021

DOI:https://doi.org/10.1103/PhysRevE.104.034903

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Luca Petrone*

  • via B. Cesana 6, 20132 Milano, Italy

Michał Cieśla

  • Institute of Theoretical Physics, Jagiellonian University, 30-348 Kraków, Łojasiewicza 11, Poland

  • *luca.petrone@libero.it
  • michal.ciesla@uj.edu.pl

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Vol. 104, Iss. 3 — September 2021

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