Fig. 6: Numerical solutions of the evolution of polystyrenen(PS)-air and PS-polymethylmethacrylate (PMMA) interfaces for different initial perturbations.
From: Impact of noise on spinodal dewetting of liquid-liquid films

As start configuration the interfaces are perturbed by colored noise, Supplementary Note 4, a–l on the stable and m–x on the unstable branch. Images a–f and m–r show the PS-air surfaces, h(t, x) = hPMMA(t, x) + hPS(t, x) and images g–l and s–x show the corresponding PS-PMMA interfaces, hPMMA(t, x). The film thicknesses for both, stable and unstable initial data, are \({h}_{{{{{{{{\rm{PS}}}}}}}}}^{0}=7\,{{{{{{{\rm{nm}}}}}}}}\) and \({h}_{{{{{{{{\rm{PMMA}}}}}}}}}^{0}=111\,{{{{{{{\rm{nm}}}}}}}}\). The panels of initial stable corrugations a–l denote t = {0, 9.8, 19.6, 26.9, 30.3, 31.3} × 103 s; appearance of first holes at t ~ 30 × 103 s. Time steps of the initial unstable corrugations m–x denote t = {0, 0.39, 0.59, 0.81, 1.22, 1.47} × 103 s; appearance of first holes at t ~ 0.8 × 103 s. Times increase from left to right. Later stages of the evolution are shown in Supplementary Note 10.