A stochastic min-driven coalescence process and its hydrodynamical limit

Anne-Laure Basdevant (1) , Philippe Laurencot (2) , James Norris (3) , Clément Rau (2)

1 MODAL'X - Modélisation aléatoire de Paris X
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 Statistical Laboratory [Cambridge]

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.

Mots clés: stochastic coalescence; min-driven clustering; hydrodynamical limit

Domaines: Probabilités [math.PR]

Anne-Laure Basdevant, Philippe Laurencot, James Norris, Clément Rau. A stochastic min-driven coalescence process and its hydrodynamical limit. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2011, 47 (2), pp.329-357. ⟨10.1214/09-AIHP349⟩. ⟨hal-00408718⟩