Figure 6

(a) Figure shows the two-point autocorrelation function, \({{\mathscr{G}}}_{2}\) as function of distance, r with exponential fits, \({{\mathscr{G}}}_{2}(r)\sim {\exp }(\,-\frac{r}{\xi })\) where \(\xi \) is the correlation length on a log-log scale. The data shown in grey filled-circles with a single fit is for the non-patterned region of interest (R), whereas the data shown in white-filled circles with two fits is for the region of interest that shows emergent structures (P). The shown analysis is run on a steady-state image for a 4.74 mm, 95 Watt sample at steady-state. (b) Figure shows the time-dependence of the correlation length for a 4.74 mm sample at 23.8 Watt (green triangles) and 95 Watt (red and blue triangles) as it evolves from room-temperature equilibrium to an out-of-equilibrium steady-state on a semi-logarithmic scale.