Whilst we choose to explore the early time self-assembly and aggregation behavior of surfactants in this study, it is natural to ask the question what happens if the simulations are extended beyond this time window. To answer this we have sampled several systems over a longer time period of 40 000 DPD time units. Examples of the longer time aggregation behavior are presented in Fig. . In these images ⟨N agg ⟩ is displayed for the full 40 000 DPD time units along with best fit lines calculated over the initial 10 000 DPD time units (red dashed lines). The systems studied in Figures and (corresponding to mole ratio 0.25 at pH 4.3 and mole ratio 0.67 at pH 5.1, respectively) remain broadly consistent with the behavior observed over the first 10 000 DPD time units (i. e. dominated by logarithmic growth for mole ratio 0.67 at pH 5.1 and linear growth for mole ratio 0.25 at pH 4.3). As the simulation for the mole ratio 0.25 at pH 3.9 system (Fig. ) is extended beyond 10 000 DPD time units (where ⟨N branch ⟩ = 0.5), initially the observed cubic power law relationship in ⟨N agg ⟩ continues up until approximately 20 000 DPD time units. At this point we observe a sharp deviation from cubic power law behavior as ⟨N agg ⟩ begins to plateau. This plateau corresponds to ⟨N agg ⟩ ≈ 3000 which is almost the entire surfactant content of the simulation box. The plateau is therefore a result of the finite material contained within the simulation box becoming depleted. At the final time unit for this system ⟨N branch ⟩ ≈ 8 and the resulting morpology is heavily interconnected and continuous. As we extend the mole ratio 1.22 at pH 3.9 system beyond the initial 10 000 DPD time units we observe a change from the initial linear behavior (with ⟨N branch ⟩ = 0.1 ) to a much sharper cubic power law growth regime with ⟨N branch ⟩ ≈ 2.5 at final time unit. Fig. shows this change which can be compared to the projection of the original linear growth (red dashes).