Energetic Relations between the Disappearing Solar Filaments and the Associated Flare Arcades

We present the temporal and statistical relations between the mechanical energies of disappearing solar filaments and the thermal energies of the associated flare arcades in soft X-rays. Measuring the 3-D velocity fields of 10 eruptive filaments, we calculated their mechanical energy gain rate, $\epsilon_{\rm mc}$, per unit volume and compared it to the thermal energy release rate per unit volume,...