## Abstract

This paper studies a stochastic particle method for the numerical
treatment of Smoluchowski equation governing the
coagulation of particles in a host gas. Convergence in
probability is established for the Monte Carlo estimators, when
the number of particles tends to infinity. The deterministic limit
is characterized as the solution of a discrete in time version of
the Smoluchowski equation. Under some restrictions it is shown
that this stochastic finite difference scheme is convergent to
the solution of the original Smoluchowski equation.
Extensions on a nonhomogeneous Smoluchowski equation are given,
and in particular, a coagulation process in an isotropic
fully developed turbulent flow is studied.

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