Chirality, extended magnetohydrodynamics statistics and topological constraints for solar wind turbulence

Abstract

Abstract We unite the one-flow-dominated-state argument with the one-chiral-sector-dominated-state argument to form a non-linear extended-magnetohydrodynamics theory for the solar wind turbulence. Local minimal-energy rapid relaxation with topological/generalised-helicity constraints may work to reconcile strong and weak turbulence with consistent Alfvenicity and chirality features. The hodograph extracted from the data showing polarization characteristics with certain periods/frequencies can indicate non-linear nearly uni-chiral modes, not necessarily linear waves.