Asymptotic properties of ideal curves on a thermodynamic surface

The configurations and properties of the characteristic curves on the thermodynamic surface of a real gas, that is, of locus points where the configuration component of a thermodynamic property becomes zero, have been analyzed. The relation of asymptotic properties of the curves with a virial equation of state at $\rho\to0$ and with a hypothetical fluid system overcooled to $0$ K at $T\to0$ has been studied. The correlation of asymptotic properties of the curves manifesting themselves, in particular, in the direct relationship of coordinates of characteristic points of ideal curves on a thermodynamic surface with an intermolecular interaction potential has been demonstrated.