Induced gelation in a two-site spatial coagulation model

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dc.creatorSiegmund-Schultze, Rainer
dc.creatorWagner, Wolfgang
dc.date2006-03-13
dc.date2006-03-16
dc.date.accessioned2026-07-07T07:06:49Z
dc.date.available2026-07-07T07:06:49Z
dc.descriptionA 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 $mn$. 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.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051605000000755 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0603300
dc.identifierhttp://arxiv.org/abs/math/0603300
dc.identifierAnnals of Applied Probability 2006, Vol. 16, No. 1, 370-402
dc.identifierdoi:10.1214/105051605000000755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110167
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K40 (Primary)
dc.titleInduced gelation in a two-site spatial coagulation model
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