Numerical measurements of the spectrum in magnetohydrodynamic turbulence.
We report the results of an extensive set of direct numerical simulations of forced, incompressible, magnetohydrodynamic (MHD) turbulence with a strong guide field. The aim is to resolve the controversy regarding the power-law exponent (alpha, say) of the field-perpendicular energy spectrum E(k) proportional variant k(alpha). The two main theoretical predictions alpha=-3/2 and alpha=-5/3 have both received some support from differently designed numerical simulations. Our calculations have a resolution of 512(3) mesh points, a strong guide field, and 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) proportional variant k(-3/2).
Mason
Joanne
J
Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637, USA. jmason@flash.uchicago.edu
Cattaneo
Fausto
F
Boldyrev
Stanislav
S