Reversible random sequential adsorption on a one-dimensional lattice

Jae Woo Lee

Physica A: Statistical Mechanics and its Applications, 2004, vol. 331, issue 3, 531-537

Abstract: We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length l⩾2 adsorb on the lattice with a adsorption rate Ka, and leave with a desorption rate Kd. We calculate the coverage fraction, and steady-state jamming limits by a Monte Carlo method. We observe that coverage fraction and jamming limits do not follow mean-field results at the large K=Ka/Kd⪢1. Jamming limits decrease when the length of the line segment l increases. However, jamming limits increase monotonically when the parameter K increases. The distribution of two consecutive empty sites is not equivalent to the square of the distribution of isolated empty sites.

Keywords: Random sequential adsorption; Parking-lot problem; Adsorption–desorption (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:331:y:2004:i:3:p:531-537

DOI: 10.1016/j.physa.2003.09.028

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