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An extended inertial range dominated by the cross-helicity effects has beenstudied for forced (statistically steady) and for freely decayingmagnetohydrodynamic MHD turbulence (with and without imposed/mean magneticfield) using the spatio-temporal distributed chaos approach. Good agreementwith results of direct numerical simulations, laboratory measurements in MHDwind (plasma) tunnel, measurements in the Earth's magnetosheath and in thesolar wind has been established. A spontaneous breaking of local reflection(mirror) symmetry has been briefly discussed for the MHD turbulence with zeroaverage cross-helicity.

Cross-helicity and extended inertial range in MHD turbulence