Type of energy transport in the envelope of the planet. The distance to the surface of the planet is given in units of the instantaneous Hill radius of the planet at the relevant mass. In orange regions the energy is transported via convection (mode 1), whereas in purple regions the radiative energy transport (mode 0) dominates. The black line shows the sublimation line of Mg₂SiO₄ from our chemical equilibrium model. Radiation as the main energy transport process only appears in the inner disk after the envelope close to the planet has reached the sublimation temperature of Mg₂SiO₄.