Jamming coverage in competitive random sequential adsorption of binary mixture
M. K. Hassan, J. Schmidt, B. Balsius, J. Kurths
Abstract
We propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability q. The free parameter q 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.
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