  In the context of space and astrophysical plasma turbulence and particle
heating, several vocabularies emerge for estimating turbulent energy
dissipation rate, including Kolmogorov-Yaglom third-order law and, in its
various forms, $\boldsymbol{j}\cdot\boldsymbol{E}$ (work done by the
electromagnetic field on particles), and $-\left( \boldsymbol{P} \cdot \nabla
\right) \cdot \boldsymbol{u}$ (pressure-strain interaction), to name a couple.
It is now understood that these energy transfer channels, to some extent, are
correlated with coherent structures. In particular, we find that different
energy dissipation proxies, although not point-wise correlated, are
concentrated in proximity to each other, for which they decorrelate in a few
$d_i$(s). However, the energy dissipation proxies dominate at different scales.
For example, there is an inertial range over which the third-order law is
meaningful. Contributions from scale bands stemming from scale-dependent
spatial filtering show that, the energy exchange through
$\boldsymbol{j}\cdot\boldsymbol{E}$ mainly results from large scales, while the
energy conversion from fluid flow to internal through $-\left( \boldsymbol{P}
\cdot \nabla \right) \cdot \boldsymbol{u}$ dominates at small scales.
