2 3 4 5 6 7 q [Å $^{-1}$] 0.0 0.2 0.4 0.6 0.8 F(q) T$_{f}$= 2500 K 2750 K 3000 K 3250 K 2500 K 2750 K 3000 K 3250 K 10 -4 10 -3 10 -2 10 -1 10 0 10 1 t$_{w}$ 0.2 0.4 0.6 0.8 F(t w ) T$_{i}$=3760 K T$_{i}$=5000 K  O q=1.7 Å -1  O atoms 10 -4 10 -3 10 -2 10 -1 10 0 10 1 t$_{w}$  [ns] 10 -4 10 -3 10 -2 10 -1 10 0 10 1 t r Cq (t w ) [ns] T$_{f}$= 2500 K 2750 K 3000 K 3250 K 2500 K 2750 K 3000 K 3250 K O-atoms T$_{i}$=3760 K T$_{i}$=5000 K q=1.7 Å -1 (a) 10 -6 10 -5 10 -4 10 -3 10 -2 10 -1 10 0 10 1 t  [ns] 0 0.2 0.4 0.6 0.8 1 C q (t w ,t w +t) t$_{w}$=24.0  ns q=1.7 Å -1 O t$_{w}$=0  ns 10 -4 10 -3 10 -2 10 -1 10 0 10 1 t$_{w}$  [ns] 10 -4 10 -3 10 -2 10 -1 10 0 10 1 t r Cq (t w )  [ns] T$_{f}$= 2500 K 2750 K 3000 K 3250 K 2500 K 2750 K 3000 K 3250 K (b) T$_{i}$=3760 K T$_{i}$=5000 K Si-atoms q=1.7 Å -1 5 FIG. 5: (Color online) Plateau height, F , as defined in the text, as a function of wave vector q ( t w = 16 . 67 ns) and in the inset as a function of t w ( q = 1 . 7 ˚ A $^{$_{−}$1}$). Error bars are of the same size as symbols as indicated exemplary for T i = 5000 K and T f = 2500 K. FIG. 6: (Color online) C q ( t w , t w + t ) for the quench T i = 3760 K to T f = 3000 K. Waiting times and corresponding line styles are the same as in Fig. 4. Error bars are of the same order as indicated in Fig. 4. The thick dashed line corresponds to C q ( t w , t w + t ) = F s ( q, t ) at 3760 K. F IG. 7: (Color online) Decay time t Cq r for q = 1 . 7 ˚ A $_{−}$1 and (a) O-atoms and (b) Si-atoms. Green (gray) is used for T i = 3760 K a nd black for T i = 5000 K. Symbol shape indicates T f as given i n the legend. Error bars are given exemplary for ( T i = 3760 K, T f = 2500 K), ( T i = 5000 K, T f = 2500 K) and ( T i = 5000 K, T f = 3000 K). q = 1 . 7 ˚ A − $^{1}$, 2 . 7 ˚ A − 1 t Cq r ( t$_{w}$ ) follows roughly a power law with an exponent µ ≈ 1 . 15 with variations of the order of 0 . 07 dependent on T$_{f}$ , particle type, and q . (II) For intermediate waiting times, t Cq r ( t$_{w}$ ) also follows roughly a power law with a different exponent than in regime (I). We find for T$_{i}$ = 5000 K, T$_{f}$ = 2500 K, 2750 K and q = 1 . 7 ˚ A − $^{1}$, 2 . 7 ˚ A − 1 µ ≈ 0 . 35 with variations of the order of 0 . 08 depending on T$_{f}$ , particle type, and q . Best power law fits are for T$_{i}$ = 3760 K, T$_{f}$ = 2500K with µ ranging from µ = 0 . 55/0 . 57 for q = 1 . 7 ˚ A − 1 to µ = 0 . 69/0 . 63 for q = 6 . 6 ˚ A − 1 and for Si/O atoms. Kob and Barrat find for the binary Lennard-Jones system also a power law for t Cq r ( t$_{w}$ ), however, with µ = 0 . 882 [16]. Similar to Grigera et al. [47] we find that the transition from small We find that t Cq r ( t$_{w}$ ) is characterized by three differ- ent t$_{w}$ -windows. (I) For waiting times t$_{w}$ ≲ 0 . 3 ns, de- cay times are significantly lower for T$_{i}$ = 5000 K (black lines and symbols) than for T$_{i}$ = 3760 K (green/gray lines and symbols). The dependence of t Cq r on t$_{w}$ is strongly dependent on all varied parameters, i.e. T$_{i}$ , T$_{f}$ , particle type, and q . For T$_{i}$ = 5000 K, T$_{f}$ = 2500 K, 2750 K, and and symbol shape indicates the final temperature T$_{f}$ .