Random packing of spheres in Menger sponge

Abstract

Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit. Additionally, scaling properties of density autocorrelations in the obtained packing are analyzed. The RSA kinetics coefficients are also measured. Obtained results allow to test phenomenological relation between random packing saturation density and collector dimension. Additionally, performed simulations together with previously obtained results confirm that, in general, the known dimensional relations are obeyed by systems having non-integer dimension, at least for d < 3.

13 pages, 6 figures

References in corpus (3)

• Continuum random sequential adsorption of polymer on a flat and homogeneous surface
• Random Sequential Adsorption on Fractals
• RSA Study of Dimers

Cited by in corpus (9)

• Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation
• Random packing of regular polygons and star polygons on a flat two-dimensional surface
• Shapes for maximal coverage for two-dimensional random sequential adsorption
• Properties of random sequential adsorption of generalized dimers
• Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing
• Kinetics of random sequential adsorption of nearly spherically symmetric particles
• Random sequential adsorption of tetramers
• The effect of substrate waviness on random sequential adsorption packing properties
• Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics