Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-05T06:40:57.121Z Has data issue: false hasContentIssue false
  • English
  • Français

Duality for Random Sequential Adsorption on a Lattice†

Published online by Cambridge University Press:  12 September 2008

Y. Fan  and
J. K. Percus
Y. Fan
Affiliation:
Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012
J. K. Percus
Affiliation:
Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012
Get access Rights & Permissions [Opens in a new window]

Abstract

If particles are dropped randomly on a lattice, with a placement being cancelled if the site in question or a nearest neighbor is already occupied, an ensemble of restricted random walks is created. We seek the time dependence of the expected occupation of a given site. It is shown that this problem reduces to one of enumerating walks from the given site in which a move can only be made to a previously occupied site or one of its nearest neighbors.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 3 , September 1992 , pp. 219 - 222
Copyright
Copyright © Cambridge University Press 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Dickman, R., Wang, J. S. and Jensen, I. (1991) Random Sequential Adsorption: Series and Virial Expansions. J. Chem. Phys. 94, 8252.CrossRefGoogle Scholar
[2]Fan, Y. and Percus, J. K. (1991) Asymptotic Coverage in Random Sequential Adsorption on a Lattice. Phys. Rev. A 44, 5099.CrossRefGoogle ScholarPubMed
[3]Tarjus, G., Schaaf, P. and Talbot, J. (1991) Random Sequential Addition: A Distribution Function Approach. J. Stat. Phys. 63, 167.CrossRefGoogle Scholar