Percolation in random sequential adsorption of lattice animals on a three-dimensional cubic lattice

• Published in: Chinese journal of physics (Taipei) 2024-08, Vol.90, p.853-863
• Main Authors: Stojiljković, D., Šćepanović, J.R., Jakšić, Z.M., Budinski-Petković, Lj, Vrhovac, S.B.
• Format: Article
• Language: English
• Subjects: Lattice animals; Percolations; Random sequential adsorption; Three-dimensional (3D) lattice
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2024.06.015

Percolation properties of the Random Sequential Adsorption (RSA) of objects of various shapes on simple three-dimensional (3D) cubic lattice are studied numerically by means of Monte Carlo simulations. Depositing objects are “lattice animals”, made of a certain number of nearest neighbor sites on a lattice. The aim of this work is to investigate the impact of the geometrical properties of the shapes on the values of percolation threshold θp∗. We analyzed all lattice animals of size n⩽5. Thanks to an extensive database of studied objects, we found that the number of nearest neighbors N1 and the radius of gyration Rg of the objects are correlated with the values of percolation threshold θp∗. For lattice animals of the same size, the percolation threshold θp∗ decreases with an increase in the number of the object’s nearest neighbors N1. If objects of the same size n have the same number of nearest neighbors N1, their percolation threshold θp∗ decreases with an increase in the radius of gyration Rg. [Display omitted] •Percolation properties are analyzed for various depositing shapes on a 3D lattice.•Depositing objects are 3D “lattice animals”.•Lattice animals are made of a certain number of nearest neighbor sites on a lattice.•Number of the first objects’ neighbors is correlated with the percolation threshold.•Radius of gyration of the objects is correlated with the percolation threshold.