Energy Transfer, Discontinuities, and Heating in the Inner Heliosphere Measured with a Weak and Local Formulation of the Politano–Pouquet Law

Abstract The solar wind is a highly turbulent plasma for which the mean rate of energy transfer ε has been measured long time using Politano–Pouquet (PP98) exact law. However, this law assumes statistical homogeneity that can be violated by presence discontinuities. Here, we introduce new method based on inertial dissipation  mathvariant="normal">I σ whose analytical form derived from incompressible magnetohydrodynamics; it considered as weak and local (in space) formulation PP98 expression recovered after integration in space. We used to estimate at scale σ THEMIS-B Parker Solar Probe data taken different heliospheric distances. Our study reveals discontinuities near Sun lead strong affects wide range scales . also observe switchbacks seem characterized singular behavior with an varying −3/4 , slightly differs classical −1 scaling. A comparison between measurements shows general latter significantly larger than former.