title: Spontaneous chiral symmetry breaking of Hall magnetohydrodynamic turbulence.
abstract: Hall magnetohydrodynamics (MHD) is investigated through three-dimensional direct numerical simulations. We show that the Hall effect induces a spontaneous chiral symmetry breaking of the turbulent dynamics. The normalized magnetic polarization is introduced to separate the right- (R) and left-handed (L) fluctuations. A classical k(-7/3) spectrum is found at small scales for R magnetic fluctuations which corresponds to the electron MHD prediction. A spectrum compatible with k(-11/3) is obtained at large-scales for the L magnetic fluctuations; we call this regime the ion MHD. These results are explained heuristically by rewriting the Hall MHD equations in a succinct vortex dynamical form. Applications to solar wind turbulence are discussed.
authors.affiliation: Université Paris-Sud, Institut d'Astrophysique Spatiale, UMR 8617, Bâtiment 121, F-91405 Orsay, France.
authors.forename: Romain
authors.initials: R
authors.lastname: Meyrand
authors.forename: Sébastien
authors.initials: S
authors.lastname: Galtier