arXiv:0801.3184 Abstract | arXiv Analytics

arXiv:0801.3184 [math.PR]Abstract References Reviews Resources

The expected duration of random sequential adsorption

Published 2008-01-21Version 1

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.

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

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

DOI: 10.1214/07-AAP445

Categories: math.PR

Subjects: 60K35

Keywords: random sequential adsorption, expected duration, gas molecules bind, universal asymptotic formula, empty sites

Tags: journal article

Related articles:

arXiv:1102.0532 [math.PR] (Published 2011-02-02)

Percolation of even sites for random sequential adsorption

Mathew D. Penrose, Tom Rosoman

arXiv:1611.05019 [math.PR] (Published 2016-11-15)

Solvable random network model for disordered sphere packing