Statistics of Local Averaged Dissipation Rate in Plasma Turbulence

Energy transfer across scales is essential for understanding the formation and evolution of plasma turbulence. In the energy cascade scenario, energy transfer rate is generally quantified by the dissipation rate, along with the local energy transfer (LET) rate and the low-pass-filtered energy flux. We calculated these pointwise values in three-dimensional magnetohydrodynamic (MHD) simulations to reveal the local distributions of energy transfer. The distributions of these energy transfer diagnostics could not be pointwise correlated. Therefore, we calculated the local averaged values of these diagnostics to show that the energy dissipation, the LET, and the low-pass-filtered energy flux have regional correlation, that is, they occur in close proximity to each other. After performing the statistical analysis on their distributions, we can obtain the local characteristics of the energy transfer in MHD turbulence.