Small-scale anisotropy in magnetohydrodynamic turbulence under a strong uniform magnetic field

Abstract

Small-scale statistics in magnetohydrodynamic turbulence under an externally applied strong stationary uniform magnetic field is studied theoretically and numerically. A simple expression for the velocity correlation spectrum is derived by applying the idea of the perturbation method by Ishihara et al. [Phys. Rev. Lett. 88 154501 (2002)]. It gives not only the scale dependence but also the angular dependence of the anisotropic velocity correlation spectrum at small scales. It is in good agreement with direct numerical simulation with 5123 grid points.