FIG. 6.

The correlation length $\xi$ plotted as a function of T. (a) The case $l=2$ showing that $\xi$ increases to the system size as T approaches the period 2 phase boundary (red dashed lines). (b) Increasing coupling strength to $l=4$ increases the correlation length, with $\xi \sim 23$ for $T<T_2$ and $\xi \sim 14$ for $T>T_1$. (c) When $l=8\xi$ increases near the period 2 and 3 transition. Red dashed lines indicate the period at which the transition occurs between the indicated periodicities.