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Two models of coagulation are presented: one, a system of coupled partial differential equations and the other microscopic Brownian particles. Both models feature a parameter that represents the tendency of two particles to coagulate at sufficiently close distances. Both models have a phase transition, viewed as the mass clumping together as a gel. Previous work has shown the models are connected, and in here we show that their phase transition to instantaneous gelation is connected as well.
Advisor: | Rezakhanlou, Fraydoun |
Commitee: | Christ, Michael, Packard, Andrew |
School: | University of California, Berkeley |
Department: | Mathematics |
School Location: | United States -- California |
Source: | DAI-B 79/05(E), Dissertation Abstracts International |
Source Type: | DISSERTATION |
Subjects: | Mathematics |
Keywords: | Coagulation, Instantaneous gelation, Two models |
Publication Number: | 10621138 |
ISBN: | 978-0-355-57388-6 |