The impact of random fluctuations on the gelation process
by Hans Babovsky  

Vol. 2 No. 2 (2007) P.329~P.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 infinite mass.

KEYWORDS
Smoluchowski equation, gelation, random perturbations

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 65C05, 82C22

MILESTONES

Received: 2004-11-29
Revised : 2005-04-01
Accepted:

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