Imbalanced Magnetohydrodynamic Turbulence: Numerics and Theory

Recent results from theory and numerical simulations suggest that magnetohodrodynamic turbulence develops regions of imbalanced cascades, even when no overall imbalance is imposed. Imbalanced magnetohydrodynamic turbulence is believed to be present in the solar wind, where magnetic and velocity fluctuations are dominated by Alfv\'en waves moving outward from the sun. We present results of high resolution numerical simulations of balanced and imbalanced turbulent cascades, obtain turbulent spectra, and propose an analytic explanation of the results.