The transport of the energy delivered by an edge-localized mode (ELM) into the scrape-off layer (SOL) of a tokamak plasma is studied with particle-in-cell simulations. A simple one-dimensional model witha Monte-Carlo procedure for Coulomb collisions is used.The SOL is collisional before the ELM, but the mean-free-path lengthin the hot ELM plasma is longer than the connection length, such thatfast electrons can travel directly from the midplane to the target plate.However, the sheath potential increases rapidly, andmost of the energy is transported with a velocity of order of the ion sound speed if secondary electron emission (SEE) is absent or weak.In the case of strong SEE, though, a large fraction of the energy can be carried by fast electrons during the ELM pulse.