Adiabats obtained for models with a modification of the EOS. The black solid line corresponds to the original MGF16+MH13 EOS. Red shows results obtained with Gaussian priors on ΔP (µ = 0.5 and σ = 0.02) and dρ (µ = 0. and σ = 0.01). Blue shows results obtained with uniform priors. The prior on P_modif remains uniform in both cases. The dashed lines correspond to the adiabat obtained with the mean values of P_modif, ΔP, and dρ (see Sect. 3.3) of a subsample of 100 models randomly drawn from the MCMC output. We compute the standard deviation (σ) of the 100 adiabats and the envelopes show the adiabats of the 1σ spread from the mean modified adiabat (dashed line). Here, T_1bar is fixed at 166.1 K.