Temporal evolution of the outer radius (left), total mass (middle), and Kelvin-Helmholtz timescale (right panel) for a 23.64 M_⊕ planet (M_core = 20M_⊕) at 0.1 AU for the four s_0,n indicated in the plots. Time is measured relative to the moment when the simulation starts. In the left panel, the grey line shows the Hill sphere radius. The planet with the (unrealistically) high s_0,n = 9 k_B/baryon initially overflows the Hill sphere, leading to a strong reduction of the envelope mass. At late times, this leads to a smaller radius. The other three cases which lack this overflow phase given in contrast similar values, with a slight anti-correlation of the radius at late time and the initial entropy.