Induced gelation in a two-site spatial coagulation model
成果类型：
Article
署名作者：
Siegmund-Schultze, R; Wagner, W
署名单位：
Technical University of Berlin; Leibniz Association; Weierstrass Institute for Applied Analysis & Stochastics
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/105051605000000755
发表日期：
2006
页码：
370-402
关键词：
摘要：
A two-site spatial coagulation model is considered, Particles of masses m and n at the same site form a new particle of mass m + n at rate inn. Independently, particles jump to the other site at a constant rate, The limit (for increasing particle numbers) of this model is expected to be nondeterministic after the gelation time, namely, one or two giant particles randomly jump between the two sites. Moreover, a new effect of induced gelation is observed-the gelation happening at the site with the larger initial number of monomers immediately induces gelation at the other site. Induced gelation is shown to be of logarithmic order. The limiting behavior of the model is derived rigorously up to the gelation time, while the expected post-gelation behavior is illustrated by a numerical simulation.