Distribution of Velocity Gradient Orientations: Mapping Magnetization with the Velocity Gradient Technique

Recent developments of the velocity gradient technique (VGT) show that the velocity gradients provide a reliable tracing of the magnetic field direction in turbulent plasmas. In this paper, we explore the ability of velocity gradients to measure the magnetization of the interstellar medium. We demonstrate that the distribution of velocity gradient orientations provides a reliable estimation of the magnetization of the media. In particular, we determine the relation between Alfvenic Mach number M-A in the range of M-A is an element of [0.2, 1.7] and properties of the velocity gradient distribution, namely, with the dispersion of velocity gradient orientation as well as with the peak-to-base ratio of the amplitudes. We apply our technique to a selected GALFA-H I region and find the results consistent with the expected behavior of M-A. Using 3D magnetohydrodynamic simulations, we successfully compare the results with our new measure of magnetization that is based on the dispersion of starlight polarization. We demonstrate that combined with the velocity dispersion along the line-of-sight direction, our technique is capable of delivering the magnetic field strength. The new technique opens a way to measure magnetization using other gradient measures, such as synchrotron intensity gradients and synchrotron polarization gradients.