We calculate the convergence curve of the virial expansion for a Lennard-Jones system in the density-temperature plane using the approximate method based on the density expansion of the Ornstein-Zernike equation and the condition of thermodynamic consistency [J. Chem. Phys. 106, 6095 (1997)]. At subcritical temperatures, this curve is close to the binodal. At supercritical temperatures, the curve does not coincide with the freezing curve. In the latter case, the densities along the convergence line are distinctly smaller than the densities corresponding to the condensed state.
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