Steady state surface density of ice for the default model parameters. The simulated profile from the numerical model (thick grey line) is well reproduced by the full analytical solution using p = 7 / 4 (solid curve; formula not shown in the main text) and the further p = 0 approximation (dashed curve; Eq. (C.10)). The black square denotes the values corresponding to the mass peak (r_peak,Σ_peak) given by Eqs. (C.12) and (C.13).