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The Cluster-Cluster Aggregation model (CCA) was often used to simulate the aggregation of colloids, in which the rapid and slow aggregation processes of colloids can be well characterized. In practical system, the movement of particles or clusters occurs in parallel. In the CCA model, in order to facilitate computer simulation, the movement of particles or clusters is processed serially by the method of Metropolis sampling. That is, randomly selecting one particle or cluster to move randomly, colliding with other cluster in the movement, and aggregating according to certain conditions, such aggregation would usually occur between a moving cluster and a static cluster, and this process is essentially a dimerization process. Based on this idea, this study proposes a cluster dichotomy model, in which the dispersion process can be regarded as the inverse process of cluster aggregation, that is, the randomly selected cluster always breaks up into two small clusters. This kind of dispersion is called dichotomy. Based on this model, the rapid and slow dispersion processes of colloidal clusters can be simulated by setting the relevant parameters. The dichotomy model proposed in this paper can be used to study colloidal stability by coupling with the traditional CCA model.