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Reversible random sequential adsorption on a one-dimensional lattice

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  • Lee, Jae Woo

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.

Suggested Citation

  • Lee, Jae Woo, 2004. "Reversible random sequential adsorption on a one-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(3), pages 531-537.
    • Handle: RePEc:eee:phsmap:v:331:y:2004:i:3:p:531-537
    DOI: 10.1016/j.physa.2003.09.028
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