Random Sequential Adsorption of Objects of Decreasing Size

Details Random Sequential Adsorption of Objects of Decreasing Size Random Sequential Adsorption of Objects of Decreasing Size

2008-09-29

arxiv.org/abs/0809.5061v1

Phys. Rev. E 79, Article ID: 011104, 7 pages (2009)

Physics

Mathematical Physics

Submitted for publication

Scientific paper

10.1103/PhysRevE.79.011104

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.

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