Spectra and structure functions in nonhelical hydromagnetic turbulence

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  • 17 March 2003
Abstract
Nonhelical hydromagnetic turbulence without imposed magnetic field is considered. The magnetic field is entirely due to dynamo action. The structure function exponents scale approximately like in nonmagnetic turbulence and follow the She-Leveque scaling for predominantly one-dimensional (tube-like) dissipative structures. Throughout the inertial range the spectral magnetic energy exceeds the kinetic energy by a factor of 2 to 3, and both spectra are approximately parallel. At first glance, the total energy spectrum seems to be close to k^{-3/2}, but there is a strong bottleneck effect and it is suggested that the asymptotic spectrum is k^{-5/3}. This is supported by the value of the second order structure function exponent that is found to be \zeta_2=0.70, suggesting a k^{-1.70} spectrum.

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