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Duality for Random Sequential Adsorption on a Lattice

Published online by Cambridge University Press:  12 September 2008

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

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
Copyright
Copyright © Cambridge University Press 1992

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References

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