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arXiv · 0908.0129

A stochastic min-driven coalescence process and its hydrodynamical limit

Anne-Laure Basdevant·Philippe Laurencot·James R. Norris·Clement Rau
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Abstract

A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalised version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.

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Anne-Laure Basdevant, Philippe Laurencot, James R. Norris, Clement Rau. 2009-08-02. A stochastic min-driven coalescence process and its hydrodynamical limit. https://doi.org/10.1214/09-aihp349

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