than $k_{\perp}(t)$ calculated at the same temperature.

There are two effects restricting the range of $\tau_{inc}(T_f)$ accessible to simulations. First, the system size $L$ must be considerably larger than the size of overcritical nuclei which are formed at temperature $T_f$. Second, obtaining smooth curves in Fig. 5 requires a sufficiently large number of nucleation events within the maximum computation time $t_{max}$. Again, this becomes increasingly difficult to fulfill with growing $T_f$ because both $\tau_{inc}$ and the dispersion of nucleation times over the different samples strongly increase with $T_f$. Comparing our results up to $t_{max}=5 \cdot 10^4$ for lattices of size L=96 and L=128 we find $T_f \simeq 0.973\,T_0$ to be roughly the highest temperature for which $\tau_{inc}$ can be determined in a reliable way.

Results of our simulations for $\tau_{inc}(T)$, plotted in Fig. 6, are consistent with the expression

$$\ln\tau_{inc} \propto (T_0-T_f)^{-2},$$

which is similar in form to the nucleation rates obtained within classical nucleation theory [@Zettlemoyer; @BindStauf] and Monte Carlo simulations.[@BindStauf; @StaufferA] Note that the data point with $T_f/T_0=0.911$ falls well below the spinodal, but in Fig. 2 there still exists a shoulder at that temperature as a remnant of the plateaus at higher temperatures.

Incubation times for Cu$_3$Au 