A stochastic min-driven coalescence process and its hydrodynamical limit

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.

References in corpus (3)

• Scaling Theory and Exactly Solved Models In the Kinetics of Irreversible Aggregation
• Differential equation approximations for Markov chains
• Dynamics and self-similarity in min-driven clustering