Fig 8. A 1/3 exponent forms an upper bound for the pseudo-algebraic scaling in cellular automaton.

Segregation indices obtained from the simulation are shown for a range of the effective parameters db and β*, but only for the last two orders of magnitudes in time $\tilde{t}$ before the segregation index reaches γ = 0.1 in each simulation. For comparability, the time scale of each simulation is set such that all simulations reach γ = 0.1 at $\tilde{t}=1$. For each simulation we use 100² cells, a cell type ratio of 50/50, periodic boundary conditions, and a random mixture γ = 0.5 as initial configuration.