We investigate the energy transfer rate ranging from the energy-containing to the sub-ion scales in the Earth's magnetotail bursty bulk flow turbulence, characterized by the dominance of either incompressible Alfvénic-like or compressible magnetosonic-like fluctuations, using data from the magnetospheric multiscale mission. At the energy-containing scale, the von Kármán decay law governs the energy budget. Inertial-range incompressible and compressible cascade rates are estimated using exact relations. A multi-spacecraft technique is employed to estimate the general divergence form of incompressible and compressible cascade rate at the kinetic scales, which partially measures the kinetic-scales turbulent energy transfer. Our results indicate that the energy-containing scale decay rate is close to the inertial-range cascade rate and is higher than the kinetic scale cascade rate. Moreover, the cascade rate in the bursty bulk flow is found to be higher than the ones observed both in the solar wind and Earth's magnetosheath. It is also shown that density fluctuations only slightly amplify the energy transfer rate.
Zhang et al. (Thu,) studied this question.