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The accurate modeling of the interactions between aerosols and cloud droplets for a multicomponent system is a very difficult task in cloud modeling, since to express a variety of properties of the hydrometeors (such as the masses of water and soluble materials inside droplets) there is a need for multi-dimensional size distributions. The aerosol distribution becomes important as the cloud drops evaporate and the solutes are recycled into aerosols that can serve as cloud condensation nuclei (CCN): the larger the mass of a hygroscopic aerosol, the lower the supersaturation needed to form a cloud droplet. In the marine environment, the aerosol recycling process is believed to be the major mechanism responsible for the bimodal shape of the aerosol size distributions (Flossmann, 1994; Feingold and Kreidenweiss, 1996). The heterogeneous chemical reactions, which add nonvolatile solute to each cloud droplet, strongly depend on the salt content and pH of the droplet (Alfonso and Raga, 2004). Since aerosols also have a significant influence on cloud microphysics and cloud radiative properties, it is necessary to simulate aerosol processes realistically and with adequate accuracy. The usual approach adopted in detailed cloud microphysical modeling is to describe the aerosols and drops in two separate one-dimensional size distributions. Within this approach, only the average aerosol mass contained in drops of certain size is known, and it is not possible to accurately track the aerosol mass distribution within cloud droplets (Jacobson, 1999). For the deterministic case (based on the solution of the kinetic collection or stochastic collection equation), the aerosol processing due to collision-coalescence was addressed by Bott (2000) by extending his previous model (Bott, 1998) to two-dimensional distributions. Within this framework each particle is characterized both by the mass of its dry aerosol nucleus and by its water mass. By adopting this framework, there is no need to parameterize the activation process. Nevertheless, in real situations, there are several types of aerosols that act as CCN, and form an internal or an external mixture. Thus, the number of components of the system can be larger than two. The solution of the kinetic collection equation when the number of

A Monte Carlo Framework to Simulate Multicomponent Droplet Growth by Stochastic Coalescence