# In-situ observation of Hall Magnetohydrodynamic Cascade in Space Plasma

## TL;DR

This paper reports on in-situ measurements of the turbulent energy cascade in space plasma, highlighting the significance of Hall effects at larger scales than previously observed in simulations.

## Contribution

It provides the first observational estimates of the Hall-MHD cascade rate in space plasma, comparing results with simulation predictions and discussing unexpected scale differences.

## Key findings

- MHD contribution dominates at inertial scales
- Hall term becomes significant at larger scales in observations
- Results differ from simulation predictions

## Abstract

We present estimates of the turbulent energy cascade rate, derived from a Hall-MHD third-order law. We compute the contribution from the Hall term and the MHD term to the energy flux. We use MMS data accumulated in the magnetosheath and the solar wind, and compare the results with previously established simulation results. We find that in observation, the MHD contribution is dominant at inertial scales, as in the simulations, but the Hall term becomes significant in observations at larger scales than in the simulations. Possible reasons are offered for this unanticipated result.