Illustration of the heating rate along with the photoionisation rate and its dependence on the ionisation fraction, X_HI , as a function of the radial distance on the day side and averaged over 42 hours. Top panel: comparison of the heating rate for the M0.05 case in 1D and 2D, with (in blue) and without (in red) the photoelectrons. Bottom panel: comparison of the photoionisation rate J×x_HI for the M0.05 case in 1D and 2D, with (in blue) and without (in red) the photoelectrons.