Fig. 2.

The crystal nucleation rate $J$ at $T_{\mathrm{x}}$ as a function of the annealing time $t_{\mathrm{w}}$ for $T_{\mathrm{a}}=216$ K (circles), 218 K (squares), and 220 K (triangles). For $t_{\mathrm{w}}>$ 300 s, $J$ almost becomes constant, meaning that $S$ fluctuations are quasi-equilibrated at $T_{\mathrm{a}}$. We note that an incubation time for NG-type LLT at $T_{\mathrm{a}}$ is much longer than 300 s. Thus, the fact that the crystal nucleation rate increases when $T_{\mathrm{a}}$ is closer to $T_{\text{SD}}$ indicates that $S$ fluctuations are more enhanced near $T_{\text{SD}}$ (see also the main text and Methods). The solid lines are fits by $J=J_S\exp \left[-b\exp \left(-t_{\mathrm{w}}/{\tau }_S\right)\right]$, where $J_S$, $b$, and ${\tau }_S$ are the fitting parameters (see the main text). To reduce the statistical errors, we took an average over 10 independent experiments for each $T_{\mathrm{a}}$. The error bars are shown in the plot only when they exceed the size of the symbols.