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arXiv 0908.0129math.PR
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A stochastic min-driven coalescence process and its hydrodynamical limit

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

英文摘要:

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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