Properties of random sequential adsorption of generalized dimers

Abstract

Saturated random packing of particles built of two identical, relatively shifted spheres in two and three dimensional flat and homogeneous space was studied numerically using random sequential adsorption algorithm. The shift between centers of spheres varied from 0.0 to 8.0 sphere diameters. Numerical simulations allowed determine random sequential adsorption kinetics, saturated random coverage ratio as well as available surface function and density autocorrelation function.

Shapes for maximal coverage for two-dimensional random sequential adsorption

“…For all shapes we studied, the maximal possible packing fraction is smaller than for generalized dimers 22 . The more complex shape type, the lower the value of the maximum packing fraction.…”

“…Note that the space inside ring of disks also belongs to the particle. Such choice of shapes originates from 22 , where properties of dimer random packings were carefully studied. Here we want to test how the more complex shape of particle shape affects properties of saturated random packing.…”

“…These shapes were thrown onto a square surface of a side size up to 1000 with an area up to S C = 10 6 . We decided to use open boundary conditions similar to 22 . Such a choice allowed us to use data published there for comparison purposes.…”

“…Thus, for RSA of disks on two dimensional flat surface d = 2 but for anisotropic particles d = 3 as an orientation of a particle is an additional degree of freedom. It is worth noting, that even when particle anisotropy is very small, d = 3 describes the ultimate asymptotic behavior 16,22,29 .…”

“…This will help in designing particles, such as nanoparticles, that can cover a surface most efficiently. Additionally, we study the kinetics of RSA for nearly symmetric particles as they appear to be very sensitive on particle shape anisotropy 22,29 .…”