Density profiles of a water sphere using either an isothermal temperature profile (solid) or an adiabatic temperature gradient (dashed). The surface temperatures are set to four different values (black = 300 K, green = 500 K, blue = 1000 K, red = 2000 K). Following a similar comparison from Mazevet et al. (2019), we set the surface pressure to the corresponding pressure on the vapour curve, unless the surface temperature is above the critical point, where the surface pressure is set to 1 bar. Bottom panel: the black dashed curve is overlapped by the solid black and green curves.