Figure 6. A schematic figure detailing the different rates in our phenomenological kinetic model simulated using the Gillespie algorithm.

The particles on the lattice can diffuse freely (when there are no neighboring particles) with a rate $k_{diff}$. In the presence of a neighboring particle, a non-specifically interacting monomer can diffuse away with a rate $k_{diff}{ϵ}_{ns}$.exp(- ${ϵ}_{ns}$). Neighboring particles can also form specific interactions (with fixed valency $\lambda$) at a rate $k_{bond}$ or break an existing interaction with a rate $k_{break}$. Clusters could diffuse at a rate that is scaled by their sizes S_clus. ${ϵ}_{ns}$ and ${ϵ}_{sp}$ refer to the strength of non-specific and specific interactions, respectively.