The expected duration of random sequential adsorption

Details The expected duration of random sequential adsorption The expected duration of random sequential adsorption

2008-01-21

arxiv.org/abs/0801.3184v1

Annals of Applied Probability 2008, Vol. 18, No. 1, 100-108

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AAP445 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/07-AAP445

When gas molecules bind to a surface they may do so in such a way that the adsorption of one molecule inhibits the arrival of others. We consider random sequential adsorption in which the empty sites of a graph are irreversibly occupied in random order by a variety of types of ``particles.'' In a finite region the process terminates when no more particles can arrive. A universal asymptotic formula for the mean duration is given.

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