{ "id": "0801.3184", "version": "v1", "published": "2008-01-21T13:14:02.000Z", "updated": "2008-01-21T13:14:02.000Z", "title": "The expected duration of random sequential adsorption", "authors": [ "Aidan Sudbury" ], "comment": "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" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-01-21T13:14:02.000Z" } ], "analyses": { "subjects": [ "60K35" ], "keywords": [ "random sequential adsorption", "expected duration", "gas molecules bind", "universal asymptotic formula", "empty sites" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0801.3184S" } } }