A stochastic min-driven coalescence process and its hydrodynamical limit

Autor: Basdevant, Anne-Laure, Laurencot, Philippe, Norris, James R., Rau, Clement
Rok vydání: 2009
Předmět:
Zdroj: Annales de l'Institut Henri Poincar\'e (B) Probabilit\'es et Statistiques 47, 2 (2011) 329-357
Druh dokumentu: Working Paper
DOI: 10.1214/09-AIHP349
Popis: 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.
Databáze: arXiv