Electron magnetohydrodynamics Grad–Shafranov reconstruction of the magnetic reconnection electron diffusion region

We present a study of the electron magnetohydrodynamics Grad–Shafranov (GS) reconstruction diffusion region (EDR) magnetic reconnection. Two-dimensionality magnetoplasma configuration and steady state are two basic assumptions GS technique, which represent method’s fundamental limitations. The demonstrates that can provide physically meaningful results even when these assumptions, hardly fulfilled in spacecraft observations, violated. This conclusion is supported by configurations EDRs, encountered Magnetospheric Multiscale (MMS) Mission on July 11, 2017 September 8, 2018. Here, former event exhibited violation two-dimensionality, latter state. In both cases, despite deviations from ideal model configuration, reasonable obtained implementing herein introduced compressible model. addition to discussed limitations, all existing versions technique rely number minor simplifying restrict scope efficiency. prospects for further improvement generalization analytically. Our analysis reveals nearly limitations be overcome using polynomial MMS-tailored space rotationally invariant variables instead Cartesian coordinates.