Jamming and asymptotic behavior in competitive random parking of bidisperse cars

M.Kamrul Hassan, Jürgen Schmidt, Bernd Blasius and Jürgen Kurths

Physica A: Statistical Mechanics and its Applications, 2002, vol. 315, issue 1, 163-173

Abstract: We propose a generalized car parking problem where either a car of size σ or of size mσ (m>1) is sequentially parked on a line with probability q and (1−q), respectively. The free parameter q interpolates between the classical car parking problem at either extreme (q=0 and 1) and the competitive random sequential adsorption of a binary mixture in between. We find that the coverage in the jamming limit for a mixture always exceeds the value obtained for the uni-sized case. The introduction of a bidisperse mixture results in the slow approach (∼t−1) to the jamming limit by the smaller species while the larger species reach their asymptotic values exponentially fast ∼t−1e−(m−1)qt.

Keywords: Jamming coverage; Deposition; Car-parking; Sequential adsorption; Binary mixture (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:315:y:2002:i:1:p:163-173

DOI: 10.1016/S0378-4371(02)01236-0

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