Fig. 4

Surface growth rates for several temperatures at the (001) surface (\(p=0\)) as functions of \(\Delta \mu \). The unit of surface growth rate is \(a/\tau \), where a (\(=1\)) is the unit height and \(\tau \) is the time interval for 1 MCS/site. \(L=320 \sqrt{2}a\). (a) V vs. \(\Delta \mu /\epsilon \). C′ at \(\Delta \mu _{c, \text{MC}}^{(001)}\) indicates the smallest \(\Delta \mu \) within the linear growth region. Lines: \(V= k \Delta \mu /\epsilon -b\). Values of k and C′ are listed in Table 2. (b) \(\ln V\) vs. \(\epsilon /\Delta \mu. \) Lines: \(\ln V = -g^*_\text{MC} \epsilon /\Delta \mu +b'\). Lines with lighter colour: \(\ln V = -g'_\text{MC} \epsilon /\Delta \mu +b''\). Values of \(g^*_\text{MC}\) and \(g'_\text{MC}\) are listed in Table 2. A′ at \(\Delta \mu _\text{poly}^{(001)}\) indicates the crossover point from single to poly-nucleation. (c) System size dependence of \(\Delta \mu _\text{poly}^{(001)}\) at \({k_\text{B}T}/\epsilon =0.63\). Line: \(\ln (\Delta \mu _\text{poly}^{(001)}/\epsilon - \Delta \mu _\text{poly}^{* (001)}/\epsilon ) = 88.0/\ln (L/a) -19.0\), where \(\Delta \mu _\text{poly}^{* (001)}/\epsilon =0.24\). The converged values \(\Delta \mu _\text{poly}^{* (001)}\) are listed in Table 1.