Measuring the energy cascade rate in space plasmas is a challenging task for several reasons. This quantity is (i) inherently three-dimensional (ii) scale-dependent, (iii) anisotropic in the interplanetary plasma, and (iv) requires measurements of plasma parameters in at least four points. Here, it is shown how three of these problems have been addressed by applying the novel lag polyhedra derivative ensemble (LPDE) technique to the magnetospheric multiscale (MMS) mission in the Earth's magnetosheath. In particular, this technique solves the full vectorial Yaglom equation, handling problem (i), does not require the assumption of isotropy, solving problem (iii), while the application to MMS addresses constraint (iv).
This paper presents a novel technique to measure the 3D energy cascade rate and Yaglom flux in space plasmas, using data from the Magnetospheric Multiscale (MMS) mission in the Earth's magnetosheath. The technique overcomes challenges like anisotropy and the need for measurements at multiple points.