The expected duration of random sequential adsorption

被引：0
|
作者：
Sudbury, Aidan [1 ]
机构：
[1] Monash Univ, Sch Math Sci, Melbourne, Vic 3800, Australia
来源：
ANNALS OF APPLIED PROBABILITY | 2008年 / 18卷 / 01期
关键词：
interacting particles system; random sequential allocation;
D O I：
10.1214/07-AAP445
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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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页码：100 / 108
页数：9
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