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.
Publié le : 2008-02-15
Classification:
Interacting particles system,
random sequential allocation,
60K35
@article{1199890016,
author = {Sudbury, Aidan},
title = {The expected duration of random sequential adsorption},
journal = {Ann. Appl. Probab.},
volume = {18},
number = {1},
year = {2008},
pages = { 100-108},
language = {en},
url = {http://dml.mathdoc.fr/item/1199890016}
}
Sudbury, Aidan. The expected duration of random sequential adsorption. Ann. Appl. Probab., Tome 18 (2008) no. 1, pp. 100-108. http://gdmltest.u-ga.fr/item/1199890016/