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The kinetic limit of a system of coagulating planar Brownian particles

Alan Hammond·Fraydoun Rezakhanlou
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Abstract

We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order $ε$. We assume that the initial number of particles is of the order of $| \log ε|. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.

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Alan Hammond, Fraydoun Rezakhanlou. 2013-04-17. The kinetic limit of a system of coagulating planar Brownian particles. https://doi.org/10.1007/s10955-005-0105-1

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