Investigation of energy cascade in anisotropic MHD turbulence with Kolmogorov-Yaglom law

The classical Kolmogorov-Yaglom (3^rd-order) law relates the third-order structure function to the energy cascade rate. Often regarded as a rigorous result of the fluid equations, this law requires assumptions of isotropy. In the past 10 years, this law has been widely used in studying energy cascade in solar wind turbulence, with different assumptions regarding isotropy. In this study, we investigate the relationship between 3^rd-order structure functions and energy cascade rates with numerical simulation of MHD turbulence, with a focus on the anisotropic effect. The main quantity of our interest is the mixed 3^rd-order structure functions and their dependence on different alignments and scales. Applications in solar wind plasma will also be discussed.