Line of critical states for Lennard-Jones fluids

A method of obtaining the critical temperature from within a supercritical mesophase bounded by percolation transition loci is described. We report thermodynamic pressures from MD simulations for more than 2000 state points along 7 near-critical isotherms of a Lennard-Jones fluid. Direct evaluation of Gibbs chemical potential along the critical isotherm reaffirms the existence of a supercritical mesophaseand a line of critical states and non-existence of van der Waals critical point.