Schematic illustration of mass and energy flux transport in open magnetic fields. The values of mass and energy flux quoted here are the long-term averages of the evolution shown in Fig. E.1 for the different terms in Eq. E.1 and Eq. E.2. The uncertainties quoted here represent the temporal variation across multiple snapshots of the model. Panel (a) shows the mass flux at different heights (⟨ℳ₀⟩ and ⟨ℳ₁⟩) and contributions from interchange reconnection (⟨ℳ_R⟩). The widths of the arrows are indicative for the magnitude of the flux. Panel (b) presents the Poynting flux at different heights (⟨𝒮₀⟩ and ⟨𝒮₁⟩), with contributions from interchange reconnection (⟨𝒮_R⟩) and changes due to Lorentz force work and Joule heating (⟨𝒮_D⟩). The widths of the arrows are roughly scaled to illustrate relative magnitudes of the fluxes.