  We prove that according to Molecular Dynamics (MD) simulations of liquid
mixtures of Lennard-Jones (L-J) particles, there is no third order phase
transition in the supercritical regime beyond Andrew's critical point. This
result is in open contrast with recent theoretical studies and experiments
which instead suggest not only its existence but also its universality
regarding the chemical nature of the fluid. We argue that our results are solid
enough to go beyond the limitations of MD and the generic character of L-J
models, thus suggesting a rather smooth liquid-vapor thermodynamic behavior of
fluids in supercritical regime.
