# Chirality, extended MHD statistics and solar wind turbulence

## TL;DR

This paper develops a comprehensive nonlinear extended MHD theory for solar wind turbulence that incorporates chirality and extends across multiple spatial scales, from MHD to subelectron regimes.

## Contribution

It unites OFDS and OCSCS concepts into a unified XMHD framework applicable across a wide range of scales in solar wind turbulence.

## Key findings

- Reveals degenerate chiral states in XMHD equilibria.
- Provides a basis to replace linear wave arguments with nonlinear stability principles.
- Extends the theory of solar wind turbulence to subelectron scales.

## Abstract

We unite the one-flow-dominated-state (OFDS) argument of \citet{MeyrandGaltierPRL12} with the one-chiral-sector-dominated-state (OCSCS) one \citep[][]{hydrochirality} to form a nonlinear extended-magnetohydrodynamics (XMHD) theory for the solar wind turbulence (SWT), \textbf{ranging from the MHD- to subproton-, and even to subelectron-scale regimes} \citep[modifying the theory of][]{AbdelhamidLingamMahajanAPJ16}. Degenerate chiral states in \citet{MiloshevichLingamMorrisonNJP17}'s XMHD absolute equilibria are exposed with helical representation, to offer the basis of replacing the linear wave (of infinitesimal or arbitrarily finite amplitudes) arguments of previous theories with OCSDS. Possible connection of the OFDS-plus-OCSDS theory with the local minimal-energy/stability principle is also discussed.