Weakly imbalanced strong turbulence

The theory of strong MHD turbulence with cross-helicity has been a subject of many recent studies. In this paper we focused our attention on low-imbalance limit and performed high-resolution 3D simulations. The results suggest that in this limit both w⁺=v+b and w^-=v-b are cascaded strongly. The model for imbalance based on so-called ``dynamic alignment'' strongly contradicts numerical evidence.