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2007 / June Volume 2 No.2
The impact of random fluctuations on the gelation process
Published Date
2007 / June
Title
The impact of random fluctuations on the gelation process
Author
Hans Babovsky
Keyword
Smoluchowski equation, gelation, random perturbations, Smoluchowski equation, gelation, random perturbations
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Pagination
329-347
Abstract
We investigate the Smoluchowski equation for the coagulation process of a system of aerosol particles. The objective is the influence of random perturbations in the presence of a source and a sink. To this aim, a Monte Carlo process is constructed and it is shown that fluctuations have a destabilizing effect: Particle systems are forced to gelate i.e. to form "macroparticles" of infinite mass.
AMS Subject
Classification
65C05, 82C22
Received
2005-04-01
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