Aerosol particles affect clouds and hence the climate. Most fundamentally, aerosol particles serve as cloud condensation nuclei and thus control the number and size of cloud droplets, determining cloud radiative properties (e.g., Albrecht, 1989;Twomey, 1977), the development of precipitation (e.g., Squires, 1958), and even the turbulent mixing of clouds with their environment (e.g., Bretherton et al., 2007;Wang et al., 2003). But aerosol particles do not only affect clouds, they are also affected by clouds (e.g., Hudson et al., 2018). Clouds are the ideal environment for aqueous chemistry to add aerosol mass, for example, by the oxidation of sulfur dioxide (e.g., Hegg & Hobbs, 1979;Hoppel et al., 1986;Jaruga & Pawlowska, 2018). Furthermore, cloud droplets can collect unactivated aerosol particles by Brownian capture (e.g., Svenningsson et al., 1997). The subject of this study will, however, be the collision and subsequent coalescence of cloud droplets, merging the dissolved aerosol masses inside them to form larger particles upon evaporation (e.g., Flossmann et al., 1985;Hudson & Noble, 2020Noble & Hudson, 2019). As these processes shape the aerosol size distribution, they alter the ability of aerosol particles to activate to cloud droplets and to act as drizzle embryos, and thus feed back on the aforementioned effects of aerosol particles on clouds and the climate.Fundamentally, the aerosol size distribution is defined asdescribing the number of aerosol particles exhibiting sizes in an infinitesimal aerosol radius range between r a and r a + dr a , where N a is the cumulative aerosol concentration. Thus, representing changes in n a by cloud processing requires a two-dimensional modeling framework that predicts changes in r a , as well as the concurrent cloud microphysical changes in the droplet liquid radius r d . Accordingly, more sophisticated modeling approaches than those applied for studying cloud microphysics alone are needed. For instance, Flossmann et al. (1985) and Lebo and Seinfeld (2011) developed two-dimensional aerosol-cloud microphysical models that predict the simultaneous development of the discretized (or binned) r a and r d distributions. By coupling a bin aerosol model to a bin