A stochastic min-driven coalescence process and its hydrodynamical limit

Details A stochastic min-driven coalescence process and its hydrodynamical limit A stochastic min-driven coalescence process and its hydrodynamical limit

2009-08-02

arxiv.org/abs/0908.0129v1

Annales de l'Institut Henri Poincar\'e (B) Probabilit\'es et Statistiques 47, 2 (2011) 329-357

Mathematics

Probability

Scientific paper

10.1214/09-AIHP349

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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