The kinetic limit of a system of coagulating planar Brownian particles

Details The kinetic limit of a system of coagulating planar Brownian particles The kinetic limit of a system of coagulating planar Brownian particles

2005-07-26

arxiv.org/abs/math/0507522v1

Mathematics

Probability

45 pages

Scientific paper

10.1007/s10955-005-0105-1

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 $\epsilon$. We assume that the initial number of particles is of the order of $| \log \epsilon |. 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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