Numerical Measurements of the Spectrum in Magnetohydrodynamic Turbulence
Abstract
We report the results of an extensive set of direct numerical simulations of forced, incompressible, magnetohydrodynamic turbulence with a strong guide field. The aim is to resolve the controversy regarding the power law exponent (α, say) of the field perpendicular energy spectrum E(k) k α. The two main theoretical predictions, α=-3/2 and α=-5/3, have both received some support from numerical simulations carried out by different groups. Our simulations have a resolution of 5123 mesh points, a strong guide field, an anisotropic simulation domain, and implement a broad range of large-scale forcing routines, including those previously reported in the literature. Our findings indicate that the spectrum of well developed, strong incompressible MHD turbulence with a strong guide field is E(k) k-3/2.