Figure 1

The value of the normalized second derivative of the interaction potential $\mathcal{L}=U^{″}\left(\Delta \right){\Delta }^2/T$ as a function of normalized density $\tilde{\rho }={\left(\sigma /\Delta \right)}^3$ at freezing (open symbols) and melting (solid symbols) of the LJ system. Symbols denote available data from numerical simulations as indicated in the figure. The horizontal line corresponds to $\mathcal{L}=290$.Reuse & Permissions

Figure 2

The values of the parameter $\mathcal{L}=U^{″}\left(\Delta \right){\Delta }^2/T$ at freezing of the Yukawa and IPL systems versus the potential steepness $\gamma$. Symbols denote available data from numerical simulations as indicated in the figure. The horizontal solid line corresponds to $\mathcal{L}=220$. Dashed lines indicate the point $\mathcal{L}=290$ at $\gamma =12$ which emerges from the analysis of the LJ system freezing data. For a discussion see text.Reuse & Permissions

Figure 3

Portion of the phase diagram of the LJ system on the plane of the normalized density $\tilde{\rho }$ and temperature $\tilde{T}$. The solid curve on the left corresponds to the liquid boundary of the vapor-liquid phase calculated using Eq. (4). The solid curve on the right is the liquid boundary of the liquid-solid phase (freezing curve) calculated using Eq. (3). Their intersection gives the following triple-point parameters: ${\tilde{T}}_{\text{tr}}\simeq 0.66$ and ${\tilde{\rho }}_{\text{tr}}\simeq 0.84$. Symbols correspond to the low-temperature portion of numerical data on freezing for the LJ system. Notation is the same as in Fig. 1. The dotted and dashed curves correspond to the fits proposed in Refs. 10, 24, respectively.Reuse & Permissions