Exact law in hybrid simulations βi = 1/16, βi = 1/2, and βi = 4: The cascade rate, ϵ*, normalized to the resistive heating rate, ϵ, as a function of l is shown as a black curve. The different contributing terms to ϵ* are also shown as: (blue) ﹩-\partial S/\partial t/4﹩, (green) ﹩-{\boldsymbol{\nabla }}\cdot {\boldsymbol{Y}}/4﹩, (orange) ﹩-{\boldsymbol{\nabla }}\cdot {\boldsymbol{H}}/4﹩, and (red) ﹩\eta {\rm{\Delta }}{S}_{b}/2﹩ (note that dotted lines denote negative values). The thin gray dashed lines display the sum ﹩-{\boldsymbol{\nabla }}\cdot ({\boldsymbol{Y}}+{\boldsymbol{H}})/4﹩. The dashed–dotted lines denote l = ρi.