Random Sequential Adsorption of Objects of Decreasing Size

Abstract

We consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large time limit. Numerical Monte Carlo simulations of two-dimensional deposition of disks and one-dimensional deposition of segments are reported for the density-density correlation function and gap-size distribution function, respectively. Analytical considerations supplement numerical results in the one-dimensional case. We investigate the correlation hole - the depletion of correlation functions near contact and, for the present model, their vanishing at contact - that opens up at finite times, as well as its closing and reemergence of the logarithmic divergence of correlation properties at contact in the large time limit.

Submitted for publication

References in corpus (4)

• Random Sequential Addition of Hard Spheres in High Euclidean Dimensions
• Random Sequential Adsorption: From Continuum to Lattice and Pre-Patterned Substrates
• Morphology of Fine-Particle Monolayers Deposited on Nanopatterned Substrates
• Random sequential adsorption of shrinking or spreading particles

Cited by in corpus (4)

• Random Sequential Adsorption of Oriented Superdisks
• Effect of particle polydispersity on the irreversible adsorption of fine particles on patterned substrates
• Jammed state characterization of the random sequential adsorption of segments of two lengths on a line
• Kinetics of Deposition of Oriented Superdisks