Random sequential adsorption of spheres on a wavy surface was studied. It determined how structure influences random packing properties such as the fraction, kinetics growth, and two-particle density correlation function. Until substrate varies within range one order magnitude smaller than particle's diameter, packings obtained do not differ significantly from those flat surface. On other hand,...

We investigate the existence of random close and random loose packing limits in twodimensional packings ofmonodisperse harddisks. A statisticalmechanics approach–based on several approximations to predict the probability distribution of volumes – suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has impli...

By pouring equal balls into a container one obtains disordered packings with fascinating properties which might shed light on several elusive properties of complex materials such as amorphous metals or colloids. In any real experiment with equal-sized spheres one cannot reach packing fractions (fraction of volume occupied by the spheres respect to the total volume, ρ) below the Random Loose Pac...

High capacity random packing is used in absorption applications where a large throughput of gas required while simultaneously maintaining as low pressure loss possible. Utilising computational fluid dynamics to capture the internal flow patterns and transients when designing packed bed towers can be advantageous respect expected performance cost optimisation. However, capturing direct interacti...

The aim of this paper is to evaluate the effective properties of composite materials with periodic random packing of ellipsoids of different volume fractions and aspect ratios. Therefore, we employ computational homogenization. A very efficient MD-based method is applied to generate the periodic random packing of the ellipsoids. The method is applicable even for extremely high volume fractions ...

The notion of stationary Apollonian packings in the d-dimensional Euclidean space is introduced as a mathematical formalization of so-called random Apollonian packings and rotational random Apollonian packings, which constitute popular grain packing models in physics. Apart from dealing with issues of existence and uniqueness in the entire Euclidean space, asymptotic results are provided for th...

This work discusses my attempts to extend Kenyon and Mitzenmacher’s technique for proving diveregnce of the online approximation algorithm Best Fit to Random Fit – another approximation algorithm for the well-known NP-hard problem of bin packing. In specific, the paper goes over Kenyon and Mitzenmacher’s recent advances on divergence of the waste of Best Fit bin packing for the skewed distribut...