Figure 1

GEMC $b=30$ gas density for the gas-crystal coexistence at $T=0.33$ for different crystal slab dimensions $N$. Within error bars, the bulk limit (within the GEMC error interval) is attained when the crystal has $\gtrsim 500$ particles.Reuse & Permissions

Figure 2

(Color online) Comparison of GEMC results (green squares) with SCOZA [23] (solid black lines) phase diagram calculations for the hard sphere Yukawa potential with $b=100$, 60, 30, and 7.5 for panel (a), (b), (c), and (d), respectively. The gas-crystal binodal for a given density is found at higher temperatures than the gas-liquid binodal in all systems studied. The dashed line indicates the crystal close-packing limit. For $b=100$, results from Ref. 41 (dash-dotted line) are also included. For $b=100$ and 60, only the GEMC gas-crystal binodal is shown. The black dots are the critical point predicted by extended corresponding state, which are $T_c=0.1711$, 0.1725, 0.231, and 0.382, respectively. The line between the squares is a guide for the eye in the gas-crystal case; refer to the text for the gas-liquid case. The error bars due to density fluctuations are smaller than the symbol sizes.Reuse & Permissions

Figure 3

(Color online) GEMC phase diagram (green squares) for the LJ potential with $n=50$ is shown superimposed with shifted SCOZA (solid black lines) results for $b=30$. The lines between the squares are a guide for the eye. The SCOZA spinodal line is indicated by a dash-dotted line. See text for details on the fit. The error bars from density fluctuations are smaller than the symbol sizes.Reuse & Permissions

Figure 4

(Color online) The system at point ${\mathrm{B}}^{\prime }$ in Fig. 3 once nucleated at (a) early times and (b) later times. The details of the artificial seeding process are discussed in the text.Reuse & Permissions

Figure 5

(Color online) Progression of phase separation at $T=0.275$ (point C in Fig. 3) from homogeneous liquid to eventual gas-crystal phase coexistence via the spinodal decomposition due to crossing the metastable gas-liquid binodal. The system is at $\varphi =15\%$ and is here shown at $t=0$, 300, and 2000. For clarity monomers are represented by smaller spheres.Reuse & Permissions

Figure 6

(Color online) Fate of nucleated liquid droplets upon a rapid quench to point ${\mathrm{C}}^{\prime }$ of Fig. 3. Upper panel shows early stages $(t=2.2\times {10}^3)$ and lower panel shows later stages of solidification process $(t=3.9\times {10}^4)$. For clarity particles that are part of small clusters $(n<6)$ and monomers are represented with smaller spheres.Reuse & Permissions

Figure 7

(Color online) Comparison of solidified structures of LJ systems with $n=50$ at $\varphi =15\%$ quenched under the spinodal line (a) to $T=0.2$ at $t=7.3\times {10}^3$ and (b) to $T=0.10$ at $t=7.3\times {10}^3$, which correspond, respectively, to points D and E in Fig. 3. (c) Evolution of the energy per particle for configurations quenched at points C, D, and E. Note that the configuration at point C fully crystallizes.Reuse & Permissions

Figure 8

Radial distribution function for system quenched (a) to point D ($t\sim 0$ in gray and at $t\sim 5\times {10}^4$ in black) and (b) to point E ($t\sim 1\times {10}^3$).Reuse & Permissions