Post-gelation behavior of a spatial coagulation model
نویسندگان
چکیده
منابع مشابه
Post-gelation behavior of a spatial coagulation model
A coagulation model on a finite spatial grid is considered. Particles of discrete masses jump randomly between sites and, while located at the same site, stick together according to some coagulation kernel. The asymptotic behavior (for increasing particle numbers) of this model is studied in the situation when the coagulation kernel grows sufficiently fast so that the phenomenon of gelation is ...
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Smoluchowski's equation for rapid coagulation is used to describe the kinetics of gelation, in which the coagulation kernel Kij models the bonding mechanism. For different classes of kernels we derive criteria for the occurrence of gelation, and obtain critical exponents in the preand postgelation stage in terms of the model parameters; we calculate bounds on the time of gelation to, and give a...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2006
ISSN: 1083-6489
DOI: 10.1214/ejp.v11-359