The expected duration of random sequential adsorption

• 成果类型: Article
• 署名作者: Sudbury, Aidan
• 署名单位: Monash University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/07-AAP445
• 发表日期: 2008
• 页码: 100-108
• 关键词: deposition

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.