Jamming coverage in competitive random sequential adsorption of binary mixture
Abstract
We propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability . The free parameter interpolates between the classical car parking problem of only one car size and the competitive random sequential adsorption (CRSA) of a binary mixture. We give an exact solution to the CRSA rate equations and find that the final coverage, the jamming limit, of the line is always larger for a binary mixture than for the uni-sized case. The analytical results are in good agreement with our direct numerical simulations of the problem.
Cite
@article{arxiv.cond-mat/0110036,
title = {Jamming coverage in competitive random sequential adsorption of binary mixture},
author = {M. K. Hassan and J. Schmidt and B. Balsius and J. Kurths},
journal= {arXiv preprint arXiv:cond-mat/0110036},
year = {2009}
}
Comments
4 pages 2-column RevTeX, Four figures, (there was an error in the previous version. We replaced it (including figures) with corrected and improved version that lead to new results and conclusions)