and T -Temperature of the system. Discrete element method simulations are a method to simulate granular materials that interact in the mesoscale of length and time. Hence it remains imperative to redefine the problem in terms of the temporal scale of the phenomena under consideration (Brownian motion). In the case of this aggregation model, we have established Brownian dynamics as the primary driving force of the corresponding particle aggregation. In this paradigm, the evolution of the particle positions must be considered in terms of Brownian time. Brownian time is the typical time that a particle requires, to diffuse over a distance comparable to its own dimension . Hence, in order to reproduce accurate aggregation dynamics, the simulation length must be at least to the order of the Brownian time of the largest particle. Concurrently, the fundamental timestep must be at least an order of magnitude smaller than the Brownian time of the smallest particle.